The figure shows SV intersecting plane A at point P, a right angle. Points R, T and U also lie in the plane. Which statements are true based on the figure?
Answers
Based on the figure, the statements that are true are
SV is perpendicular to TPSV is perpendicular to plane Apoint P lies on SV and in plane AThat is, the first, second and fifth statements.
From the image, we will determine the statements that are true based on the figure.
For the first statement - SV is perpendicular to TP
From the figure,
SV is a line intersecting plane A at point P, at right angle. That is, SV is perpendicular to point P. Then, SV is perpendicular to plane A since point P lies on the plane.
Also, P lies on the plane (plane A); then we can infer that TP is parallel to plane A since point T also lie on the plane (plane A).
Since, SV is perpendicular to the plane, then SV is also perpendicular to TP.
∴ The statement (SV is perpendicular to TP) is true
For the second statement - SV is perpendicular to plane A
As stated above, SV is perpendicular to point P. Since point P lies on the plane (plane A), then SV is perpendicular to plane A.
∴ The statement (SV is perpendicular to plane A) is true
For the third statement - points S, P and Q are collinear
Collinear points are points that lie on the same line.
Points S, P and Q are not collinear because, a single line cannot pass through the three points, that is, the points (S, P, and Q) do not lie on a single line.
∴ The statement (points S, P and Q are collinear) is NOT true
(From the image, an example of points that are collinear are points S, P, and V)
For the fourth statement - points R, T, and U are collinear
As explained above, points R, T, and U are not collinear because, a single line cannot pass through the three points, that is, the points (R, T, and U) do not lie on a single line.
∴ The statement (points R, T and U are collinear) is NOT true
NOTE: (The points only lie in the same plane (plane A), that is, they are coplanar)
For the fifth statement - point P lies on SV and in plane A
Since line SV intersects plane A at point P, that means point P lies in plane A. Also point P lies on line SV since it is on the line as shown in the image.
∴ The statement (point P lies on SV and in plane A) is true
For the sixth statement - points U, S, V, and Q are coplanar
Points or lines are said to be coplanar if they lie in the same plane.
Of the given points, only point U lies in plane A. Points S, V, and Q do not lie in the same plane and as well do not lie in the same plane as point U.
∴ The statement (points U, S, V, and Q are coplanar) is NOT true.
(From the image, an example of points that are coplanar are points U,P,R, and T because they lie on the same plane).
Hence, based on the figure, the statements that are true are the first, second and fifth statements. that is
SV is perpendicular to TPSV is perpendicular to plane Apoint P lies on SV and in plane ALearn more here: https://brainly.com/question/17534787
Related Questions
Bentley signed up for a streaming music service that costs $13 per month. The service
allows Bentley to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.75 per song. How much total money woul
Bentley have to pay in a month in which he downloaded 10 songs? How much would
he have to pay if he downloaded s songs?
Answers
Answer: Bentley have to pay $20.5 in a month in which he downloaded 10 songs.
Bentley have to pay $(13+0.75s) in a month in which he downloaded s songs.
Step-by-step explanation:
As per given,
Total amount need to pay = (Monthly cost) + (Number of songs downloads) x (Charges for each song)
Here, Monthly cost = $13
Charges for each song = $0.75
If Number of songs downloads = 10
Then, Total amount need to pay = $ (13 +(10) (0.75))
= $( 13+7.5)
= $ 20.5
So, Bentley have to pay $20.5 in a month in which he downloaded 10 songs.
If Number of songs downloads = s
Then, Total amount need to pay (in $) = 13 + (s)(0.75)
= 13+0.75s
So, Bentley have to pay $(13+0.75s) in a month in which he downloaded s songs.
If Number of songs downloads = 10
$ 20.5
If Number of songs downloads = s
13+0.75s
how do i solve number 8 and 9?
Answers
Answers & Step-by-step explanation:
A square root is a number that when multiplied by itself, equals the number you were asked to square root. For example, 2 is the square root of 4, because 2 x 2 = 4.
There is a method in algebra to simplify square roots into smaller square roots, where one can be solved. To do this, we need to find a perfect square that can be multiplied with the other square root to equal the number you were asked to square root.
Now, let's solve your problems!
___________________________________________________________
5.[tex]\sqrt{56}[/tex] = [tex]\sqrt{2^{2} * 14[/tex]
Now, we pull out the [tex]2^{2}[/tex] from under the radical, since we can square root this. [tex]\sqrt{2^{2} }[/tex] is simply 2.
[tex]2\sqrt{14}[/tex]
Since we can't solve [tex]\sqrt{14}[/tex], this is the final answer that your assignment is wanting.
___________________________________________________________
6.[tex]\sqrt{84}[/tex] = [tex]\sqrt{2^{2} * 21[/tex]
Now, we pull out the [tex]2^{2}[/tex] from under the radical, since we can square root this. [tex]\sqrt{2^{2} }[/tex] is simply 2.
[tex]2\sqrt{21}[/tex]
Since we can't solve [tex]\sqrt{21}[/tex], this is the final answer.
___________________________________________________________
7.[tex]\sqrt{-9}[/tex] = [tex]\sqrt{-1 * 9}[/tex]
Now, since this the number is negative, we must separate the negative out. so [tex]\sqrt{-9}[/tex] becomes [tex]\sqrt{-1 * 9}[/tex]. Since the square root of 9 is 3, we can rewrite this as:
[tex]3\sqrt{-1}[/tex]
However, since [tex]\sqrt{-1}[/tex] is imaginary, we must replace it with i. This also allows us to get rid of the square roots.
The answer becomes:
3i
___________________________________________________________
8.[tex]3\sqrt{18}[/tex]
This one is already partly simplified. Notice how the 3 is not under the radical. The only thing we have to work with is the [tex]\sqrt{18}[/tex].
[tex]\sqrt{18}[/tex] = [tex]\sqrt{9 * 2}[/tex]
We can square root 9 to get 3.
[tex]3\sqrt{2}[/tex]
Now, we multiply back the 3 from earlier to get:
[tex]9\sqrt{2}[/tex]
___________________________________________________________
9.[tex]\sqrt{28a^{2}b^{3} }[/tex]
This one may look daunting because we have the variables, but we can break it down and solve it just as easily as the rest. The first step is to square root the a² term, the answer is a. We can rewrite this as:
[tex]a\sqrt{28b^{3} }[/tex]
Next, we need to simplify [tex]\sqrt{28}[/tex], just like we did with all the other problems.
[tex]\sqrt{28}[/tex] = [tex]\sqrt{4 * 7}[/tex]
Since [tex]\sqrt{4}[/tex] is 2, we can move it out of the radical.
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
Since we can do anything with the [tex]b^{3}[/tex] term, that stays under the radical.
The answer is:
[tex]2a\sqrt{7b^{3} }[/tex]
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)solve for x ( need asap )
Answers
It is 26 if you needed answer asap
Answer: 26
Step-by-step explanation: the angles are on a straight line and all angles on a straight line add up to 180°, so, you subtract 49 from 180 to get 131 then subtract 1 ( because instead of adding you to subtract to see what was added to get 131) then divide 130 by 5 ( because 5x is the value × 5 ) and you get 26
The shape of f(x) = |x|, but shifted 12 units up and then reflected in the x-axis
Answers
Answer:
image below
Step-by-step explanation:
Transformation involves changing the position of a function.
The new function is [tex]\mathbf{f"(x) = -|x| - 12}[/tex]
The function is given as:
[tex]\mathbf{f(x) = |x|}[/tex]
When the function is shifted 12 units up,
The rule of transformation is:
[tex]\mathbf{(x,y) \to (x,y+12)}[/tex]
So, the function becomes
[tex]\mathbf{f'(x) = |x| + 12}[/tex]
When the function is reflected in the x-axis,
The rule of transformation is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, the function becomes
[tex]\mathbf{f"(x) = -(|x| + 12)}[/tex]
Expand
[tex]\mathbf{f"(x) = -|x| - 12}[/tex]
Hence, the new function is:
[tex]\mathbf{f"(x) = -|x| - 12}[/tex]
See attachment for the graphs of [tex]\mathbf{f(x) = |x|}[/tex] and [tex]\mathbf{f"(x) = -|x| - 12}[/tex]
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The vertex of this parabola is at 2, -1 When the y-value is 0 the x value is 5 what is the coefficient of the squared term in the parabola equation.
A. -3
B. -4
C. 4
D. 3
Answers
Answer:
[tex]\large \boxed{\sf \frac{1}{9}}[/tex]
Step-by-step explanation:
[tex]\sf y=a(x-h)^2+k[/tex]
[tex]\sf Vertex = (h,k)[/tex]
y-value is 0 and the x value is 5
h = 2
k = -1
[tex]\sf 0=a(5-2)^2+-1[/tex]
Solve for [tex]\sf a[/tex] (the coefficient of the squared term).
[tex]\sf 0=a(3)^2+-1[/tex]
[tex]\sf 0=9a-1[/tex]
[tex]\sf 9a=1[/tex]
[tex]\displaystyle \sf a=\frac{1}{9}[/tex]
The coefficient of the squared term in the parabola equation is 1/9.
Answer:
Fot this parabola the coefficient for squared term is 7
Step-by-step explanation:
The formula for vertex equation is:
x = a*(y-h)^{2}+kx=a∗(y−h)
2
+k
if vertex is at (-3,-1) and in the formula the vertex is (k,h), we replace this values
x = a*(y +1)^{2} -3x=a∗(y+1)
2
−3
The other point of this parabola is (4,0), so we replace it in the formula below:
4 = a*(0 + 1)^{2} -34=a∗(0+1)
2
−3
4 = a*(1)-34=a∗(1)−3
4 +3= a*(1)4+3=a∗(1)
a=7a=7
What is the dependent and independent variable?and
What is the (x) and (y) axis?
Answers
Answer:
and independent variable It is a variable that stands alone and isn't changed by the other variables you are trying to measure. For example, someone's age might be an independent variable. and a Just like an independent variable, a dependent variable is exactly what it sounds like. It is something that depends on other factors. For example, a test score could be a dependent variable because it could change depending on several factors such as how much you studied, how much sleep you got the night before you took the test, or even how hungry you were when you took it.
Equivalent to 1/2 (36x -14) +(2x-9)?
Answers
Answer:
20x - 16
Step-by-step explanation:
We can first do 1/2 (36x - 14), getting 18x - 7.
Then our expression becomes 18x - 7 + 2x - 9.
We can combine like terms, getting 20x - 16.
<3 WILL MARK BRAINLIEST! (´°0 °`)
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using complete sentences discuss a different kinds of real numbers in your answer. Give an example of each type and discuss which set each type.
Answers
Answer:
Real numbers are mainly classified into rational and irrational numbers. Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.
There are 4 types of real numbers.
Rational Numbers
Irrational Number
Natural Numbers
Whole Numbers
What are the real numbers?Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.
The set of real numbers, which is denoted by R, is the union of the set of rational numbers (Q) and the set of irrational numbers.
Rational Numbers; Any number specified in the form of a p/q or ratio fraction is called a rational number. The numerator is defined as p, and the denominator is represented as q, where q is not equal to zero. A rational number may be an integer, whole, and natural number.
For example: 0.67, 17, 214, etc.
Irrational Number; Irrational numbers are defined as the real number that cannot be represented as a simple fraction. In other words, it cannot be represented as a ratio, such as p/q, where p and q are integers, q≠0. It is the opposite of rational numbers.
For example; √5, √11, √21, etc.
Natural Numbers; An integer greater than 0 is a natural number. Natural numbers start at 1 and move to infinity.
For example; 1, 2, 3, 4, 5.
Whole Numbers; The whole number is the number system that contains all positive integers from 0 to infinity. The whole number is an integer of 0 or greater numbers.
For example: 1, 2, 3, 4, 5…..
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WILL GIVE BRAINLIEST!!!!!!!!!
Explain how you find the scale factor using 2-3 sentences or showing each step. Explain using the ratio of the image length to the pre-image length.
Answers
Answer/Step-by-step explanation:
The scale factor = the ratio of the corresponding sides of the image and the preimage.
That is, A'B'/AB = B'C'/BC
The preimage is the smaller figure, given as ABCD.
AB = 3 - 1 = 2 units
BC = 4 - 1 = 3 units
The image is the larger figure, given as A'B'C'D'.
A'B' = 9 - 5 = 4 units
B'C' = 7 - 1 = 6 units
Scale factor = [tex] \frac{4}{2} = \frac{6}{3} = 2 [/tex]
9. In the expression 4(2m-n), determine which of the following best describes the role of (2m-n).
A. 2m-n) is a factor.
B. 2m-n) is a term.
C. 2m-n) is a number.
D. 2m-n) is a coefficient.
10. In expression 4(2m-n) determine which of the following best describes the role of 2m.
A. 2m is factor
B. 2m is term
C. 2m is number
D. 2m is coefficient
Answers
Answer:
b
Step-by-step explanation:
2m is term because it is what you are looking for
In the expression 4(2m-n), (2m-n). is a term and In expression 4(2m-n), 2m is also a term. The correct options are B and B for both.
What is a term in an expression?One mathematical expression makes up a term. It could be a single variable (a letter), a single number (positive or negative), or the number of variables multiplied but never added or subtracted.
Variables in certain words have a number in front of them. A term is defined as a single number or single variable or number and variable multiplying with each other in a mathematics expression.
The first expression is 4(2m-n), then in the expression 2m - n will be the term of the expression.
The second expression is 4(2m-n), then in the expression 2m is the term of the expression.
Therefore, the expression 4(2m-n), (2m-n). is a term and In expression 4(2m-n), 2m is also a term.
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The gas tank of your car holds 10 1/3 gallons of gas. Your tank is one-quarter full. How much gas should you add to fill up your tank?
Answers
Answer:
4 1/4
Step-by-step explanation:
10 1/3 = 33/3 33/3 divided by 4 = 33/12 so one quarter of your tank can hold 33/12
now just do 33/12 times 3 which is 33/4 or simplified 4 1/4
what's the answer? (5-1×2×6)+1×0 =
Answers
Answer:
-7
Step-by-step explanation:
Answer: -7
explanation: simplify the expression
brainliest or a thank you please :)) <33
7.777 rounded to the nearest hundreths
Answers
Answer:
7.77
Step-by-step explanation:
just take off the 7 in the 100ths place :)
Answer:
7.800
Step-by-step explanation:
Because 7 is close to 8 so it would turn into 800
hope this helps ;)
The elevation E, in meters, above sea level at which the boiling point of a certain liquid is t degrees Celsius is given by the function shown below. At what elevation is the boiling point 119.5? 120? E(t)= 1200(120-t)+520(120-t)^2 At what elevation is the boiling point 119.5?
E(119.5)= (the answer) meters
Answers
Answer:
[tex]E(119.5)= 730m[/tex]
Step-by-step explanation:
Given
[tex]E(t)= 1200(120-t)+520(120-t)^2[/tex]
Required
Determine E(119.5)
[tex]E(t)= 1200(120-t)+520(120-t)^2[/tex]
Simply substitute 119.5 for t
[tex]E(119.5)= 1200(120-119.5)+520(120-119.5)^2[/tex]
Evaluate the expressions in bracket
[tex]E(119.5)= 1200(0.5)+520(0.5)^2[/tex]
Solve 0.5²
[tex]E(119.5)= 1200 * 0.5+520*0.25[/tex]
[tex]E(119.5)= 600+130[/tex]
[tex]E(119.5)= 730[/tex]
Hence;
[tex]E(119.5)= 730m[/tex]
g + 10 = 3g what does this look like in a verbal expression
Answers
"G plus Ten equals Three-G".
or
"The Variable G plus Ten equals Three-G".
The verbal expression is you putting it in the way that you would say the expression.
~
Answer:
The sum of a number and 10 is equal to three times that number.
Step-by-step explanation:
Break the parts down and put them together.
The sum of a number and 10: 'g + 10'
Is equal to: '='
Three times that number: '3g'
So:
The sum of a number and 10 is equal to three times that number: 'g + 10 = 3g'
Hope this helps.
The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second. If the surface area of
the completely inflated balloon is 784 cm², how long will it take for the balloon to fully inflate?
Use SA=4r2
7 seconds
10 seconds
49 seconds
196 seconds
Answers
Answer:
7 seconds
Step-by-step explanation:
SA = 4πr²
784π = 4πr²
196 = r²
r = 14
At 2 cm/s, it takes 7 seconds to reach a radius of 14 cm.
Answer:
Answer is A, 7 seconds
Step-by-step explanation:
Answer is A on edgenuity, answers do not mix
PLEASE HELPP I HAVE TO TURN THIS IN TODAY
Answers
Answer:
a translation is the movement of the shape from units left to right or up and down so its basically scooching over to the left for example but the size or shape doesn't change, hope this helped
Step-by-step explanation:
Divide 26hours and 6minutes by 6.
Answers
1566mins divide by 6 = 261mins
Answer: 261mins or 4hrs and 21mins
Answer:
26 hours + 6 minutes can also be said as 1560 min + 6 minutes
1560+6/6 = 1566/6 = 261
That is = 4 hours and 21 minutes
What is 4 1/3 * 2 1/7 as a mixed number in simplest form?
Answers
Answer:
9 2/7
Step-by-step explanation:
4 1/3=13/3
2 1/7=15/7
13/3*15/7= 195/21
=9 6/21
=9 2/7
Hi there!
Answer:
9 2/7
Step-by-step explanation:
4 1/3 = 13/3
2 1/7 = 15/7
Now you have to multiply
Which equals to: 195/21
Since this is a improper fraction, you have to divide.
195 divided by 21.
=9 2/7
Below is a picture of how you should divide (using long division).
~Have a great day!~
If you have any questions, feel free to ask!
x+y=7
-x+y=-5
Quero a equação pelo método de adição, rápido u.u
Answers
Answer:
Step-by-step explanation:
x + y = 7
-x + y = -5
2y = 2
y = 1
x + 1 = 7
x = 6
(6, 1)
For every 3 days of vacation, Farah packs 4 outfits. Which of the following statements are true. Please hurry with the answer
Answers
Answer:
choice b d and e
Step-by-step explanation:
what value of x will make the equation true
Answers
Answer:
5 is the value of x
Answer:
It would be 5 square
Step-by-step explanation:
Planes X and Y and points J, K, L, M, and N are
shown.
Exactly how many planes contain points J, K, and N?
A) 0
B) 1
C) 2
D) 3
Answers
Answer:
Step-by-step explanation: it’s C
5 less than a number is equivalent to 1 more than 3 times the number. What is the number
Answers
Answer:
5-x=1+3x the number is 1
Step-by-step explanation:
Can you help me with this assignment?
Answers
Answer:
AC =5
BC = 12
AB = 13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
(n-1)^2 + (2n)^2 = (n+7)^2
FOILing
n^2-2n+1 + 4n^2 = n^2+14n+49
Combine like terms
5n^2-2n+1 = n^2+14n+49
Bring everything to the left
5n^2-2n+1 -n^2-14n-49 = n^2+14n+49-n^2-14n-49
4n^2 -16n -48 = 0
Divide by 4
n^2 -4n -12 = 0
Factor
( n-6)(n+2) =0
Using the zero product property
n-6 =0 n+2 =0
n=6 n=-2
Since the length cannot be negative
n=6
AC = n-1 = 6-1 =5
BC = 2n = 2*6 = 12
AB = n+7 = 6+7 = 13
Given :
Hypotenuse of right angle triangle = n + 7
Base = n - 1
Altitude = 2n
Using Pythagoras theorem :
→ ( n + 7 )² = (n - 1)² + (2n)²
→ n² + 14n + 49 = n² - 2n + 1 + 4n²
→ n² + 14n + 49 = 5n² - 2n + 1 = 0
→ n² + 14n + 49 - 5n² + 2n - 1 = 0
→ -4n² + 16n + 48 = 0
→ -4(n² - 4n - 12) = 0
→ n² - 6n + 2n - 12 = 0
→ n(n - 6) + 2(n - 6) = 0
→ (n - 6)(n + 2) = 0
As n ≠ Negative
So, n ≠ -2
So, n = 6
Hypotenuse = n + 7 = 6 + 7 = 13
Base = n - 1 = 6 - 1 = 5
Altitude = 2n = 2 × 6 = 12
So,
AB = 13
AC = 5
BC = 12
How to factorise 9a^2bc^3 -27abc
Answers
Answer:
9abc(ac² - 3)
Step-by-step explanation:
Given polynomial:
9a²bc³ -27abcFactors of the terms:
9a²bc³ = 3*3*a*a*b*c*c*c27abc = 3*3*3*a*b*cCommon factors of the above:
3*3*a*b*c= 9abcSo the answer:
9a²bc³ -27abc = 9abc(ac² - 3)a = -bcd
Not sure how I'm suppose to get the answer without dividing first.
Answers
Answer:
-1/cd
b = -a/cd
Step-by-step explanation:
a = -bcd
Multiplication and division are inverse operations
Multiply each side by -1/cd
a* -1/cd = -bcd * -1/cd
-a /cd = b
7) If AB = 3x - 8 and BC = x + 12, find the value of x.
Answers
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
In a square ABCD, if AB = (3x-8) and BC = (x+12), find the value of x. Also, find the length of each side of the square.
Note that all sides of a square are equal. Hence AB = BC for the square ABCD.
Given AB = (3x-8) and BC = (x+12), then AB = BC
3x-8 = x+12
collect like terms;
3x-x = 12+8
2x = 20
x = 20/2
x = 10
Substitute x = 10 into any of the side. Using side AB
AB = 3x-8
AB = 3(10)-8
AB = 30-8
AB = 22
BC = x+12
BC = 10+12
BC = 22
Hence x = 10 and the length of each side is 22
7w=1/2(w+v)
Solve for v.
Answers
Answer:
v = 13w
Step-by-step explanation:
[tex]7w = \frac{1}{2} (w+v)\\\\7w =\frac{(w+v)}{2} \\\\Cross\:Multiply\\7w\times 2 =w+v\\\\14w = w+v\\\\Collect\:like\:terms\\14w-w =v\\\\v = 13w[/tex]
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars
Answers
Answer: Phelan now have 44.69 US dollars. of the original 250 US dollars.
Step-by-step explanation:
Given, Phelan spent 150 euros on his trip.
1 European euro = 1.3687 US dollars
So, 150 euros = 150 × 1.3687 US dollars
= 205.305 US dollars
≈ 205.31 US dollars [ Rounded to the nearest cent. ]
Initially he had 250 US dollars, now he has left (250-205.31)US dollars that is
44.69 US dollars.
Hence, Phelan now have 44.69 US dollars. of the original 250 US dollars.
Phelan now have 44.69 US dollars. of the original 250 US dollars.