Answer:
y- intercept = - 39
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 12x + 2 ← is in slope- intercept form
with slope m = 12
Parallel lines have equal slopes, thus
y = mx + c ← is the partial equation
To find c substitute (4, 9) into the partial equation
9 = 48 + c ⇒ c = 9 - 48 = - 39 ← y- intercept
Answer:
y-intercept = -39
Step-by-step explanation:
if two lines are parallel it means they have the same gradient so we compare the equation given to the default equation of a line
y=mx+c
y=12x+2
comparing we have the gradient m=12 now finding the equation of the line parallel to the given line we use
y-y1=m(x-x1)
y1=9 and x1=4
y-9=12(x-4)
y-9=12x-48
y=2x-48+9
y=2x-39
comparing to the default equation of a line y=mx+c where c is the y-intercept
therefore the y-intercept is -39
how many are 6 raised to 4 ???
Answer:
[tex]\large \boxed{1296}[/tex]
Step-by-step explanation:
6 raised to 4 indicates that the base 6 has an exponent or power of 4.
[tex]6^4[/tex]
6 is multiplied by itself 4 times.
[tex]6 \times 6 \times 6 \times 6[/tex]
[tex]=1296[/tex]
what is the equation of the line that passes through the points (-8,8) and (4,-1)
Answer:
y = (-3/4)x + 2
Step-by-step explanation:
Find the slope of this line. Note how the first x-coordinate (-8) becomes 4, a jump of 12, and how the first y-coordinate (8) becomes -1, a decrease of 9. Then the slope is
m = (change in y) / (change in x) = -9/12 = m = -3/4
Find the y-intercept from this data using the slope-intercept form:
y = mx + b becomes 8 = (-3/4)(-8) + b when x = -8, y = 8 and m = -3/4.
Solving this equation for b, we get:
8 = 6 + b, so that b must be 2.
The desired equation is y = (-3/4)x + 2.
using the property of squares find the value of the following 24 square - 23 square
Answer:
47
Step-by-step explanation:
Using the follwing property
[tex]x^{2} -y^2=(x+y)(x-y)[/tex]
in which x=24 and y=23
so
[tex]24^2-23^2=(24-23)(24+23)\\=1(47)\\=47[/tex]
Answer:
47
Step-by-step explanation:
Lets say 24 is x and 23 is y.
the equation would be x^2 - y^2
this is = to (x-y)(x+y)
substitute the numbers in
(24-23)(24+23)
which simplifies to
(1)(47)
which equals 47
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 3sqrt(2)/2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The two legs are equal, x
x^2 + x^2 = 3^2
2x^2 = 9
Divide each side by 2
x^2 = 9/2
Take the square root of each side
sqrt(x^2) = sqrt(9/2)
x = sqrt(9)/ sqrt(2)
x = 3 / sqrt(2)
x = 3 sqrt(2) / sqrt(2)*sqrt(2)
x = 3sqrt(2)/2
Answer:
Step-by-step explanation:
The Pythagorean triple for a 45-45-90 triangle, which this is BTW is, in terms of the pattern: (x, x, x√2) where each x is the length of a side across from a 45 degree angle and x√2 is the side length across from the 90 degree angle (this side is also known as the hypotenuse). If the hypotenuse is 3 units long, and the pattern for the hypotenuse is x√2, we can solve for x, the sides across from the 45 degree angles, by setting 3 equal to its pattern for the hypotenuse:
[tex]3=x\sqrt{2}[/tex] so
[tex]x=\frac{3}{\sqrt{2} }= \frac{3\sqrt{2} }{2}[/tex]
On Wednesday at camp, Samuel went for a hike at 6:30 A.M. The hike took 2 hours and 15 minutes. As soon as he got back from the hike, Samuel played volleyball for 1 hour. What time did Samuel finish playing volleyball?
Answer:
9:45 A.M.
Step-by-step explanation:
First, add the time that took him to hike:
6:30 + 2 hours and 15 minutes = 8:45 A.M.
Next, add the 1 hour that he played volleyball for:
8:45 + 1 hour = 9:45 A.M.
So, he finished playing volleyball at 9:45 A.M.
Answer:
9:45 am
Step-by-step explanation:
He went at 6:30 am to a hike.
It took him 2 hours 15 minutes
=> 6 : 30
+ 2 15
=> 8 : 45
He came back from the Hike at 8:45 am
He played volleyball for 1 hour.
=> 8 : 45
+ 1
=> 9 : 45
He finished playing volleyball at 9:45 am
What is the midpoint of the vertical line segment graphed below?
A
to
(2,4)
-10
10
. (2.-9)
10
O A. (2.-5)
O B. (4,-5)
Ос.
O D. (2 - 2
Answer:
(2,-2.5)
Step-by-step explanation:
(2,4) and (2,-9)
((2+2)/2,(4+(-9))/2)
or, (4/2,-5/2)
or, (2,-2.5)
The midpoint of the vertical line segment in the graph is (2, -5/2), option D is correct.
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
We have to find the midpoint of the line joining the two points (2, 4) and (2, -9)
Midpoint = (x₁+x₂/2, y₁+y₂/2)
x₁ = 2, y₁=4, x₂ =2 and y₂ = -9
We have to plug in the values in the above formula
Midpoint = (2+2/2, 4-9/2)
Midpoint = (6/2, -5/2)
=(2, -5/2)
Hence, the midpoint of the vertical line segment in the graph is (2, -5/2)
To learn more on Coordinate Geometry click:
brainly.com/question/27326241
#SPJ7
What is the y intercept of the given graph?
Answer:
The answer would be -2.
Step-by-step explanation:You have to look at where the line is hitting.It has to be perfectly on the corners of the square. The bottom of the y-intercept is always negative and the top is always positive but for the x-intercept the right side is positive and the left side is negative. I hope that helped you!!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION WHILE ANSWERING THE QUESTION!!
What is the first quartile of the data set 3,7,11,14,16,16,18,21,22,23,27?
A. 22
B. 16
C. 14
D. 11
Answer:D
Step-by-step explanatiation:25th Percentile: 11
50th Percentile: 16
75th Percentile: 22
Interquartile Range: 11
The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?
Answer:
The original number could be 85.
Step-by-step explanation:
Let the 2 digits be x and y.
Let the number be xy then, assuming that x is the larger digit:
x - y = 3.
x = y + 3
Also
10y + x + 10x + y = 143
Substituting for x:
10y + y + 3 + 10(y + 3) + y = 143
22y + 33 = 143
22y = 110
y = 5.
So x = y + 3 = 8.
Answer:
Let the unit digit be x and tens digit be x + 3Therefore, the original number = 10(x + 3) + xOn interchanging, the number formed = 10x + x + 3❍ According to Question now,➥ 10(x + 3) + x + 10x + x + 3 = 143
➥ 10x + 30 + 12x + 3 = 143
➥ 22x + 33 = 143
➥ 22x = 143 - 33
➥ 22x = 110
➥ x = 110/22
➥ x = 5
__________________...Therefore,The unit digit number = x = 5
The tens digit number = x + 3 = 5 + 3 = 8
__________________...The original number = 10(x + 3) + x
The original number = 10(5 + 3) + 5
The original number = 50 + 30 + 5
The original number = 85
Hence,the original number is 85.
10. A local park is located on a triangular piece of land. What is the area of the park to the nearest tenth? (1 point) S 75 m 40° R 150 m T Area = m2
Answer:
Area equals to 3615.7
Step-by-step explanation:
So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.
In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.
Next using the law of sines, and plot the numbers in:
a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907
Now calculat the area;
Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765
I attached a graph below that may help to see will all the things go
I need help right now!!!ASAP
Answer:
Points Q, J and M are not collinear
Step-by-step explanation:
Three points cannot be collinear if they are not coplanar (on the same plane), and M is on a different plane than Q. J is located on both planes.
Nikki gathered data about the length of time she spent listening to the radio and the number of commercials she heard. She organized the data in a scatter plot, where x represents the minutes spent listening and y represents the number of commercials. Then she used the graphing tool to find the equation of the line of best fit: y = 0.338x − 1.387. Based on the line of best fit, for approximately how many minutes will Nikki need to listen to the radio to hear 20 commercials?
Answer:
The number of minutes Nikki needs to listen to the radio to hear 20 commercials is 63.275 minutes
Step-by-step explanation:
The given dependent and independent variables are;
The number of minutes spent by Nikki listening = x
The number of commercials aired = y
The relationship between the independent variable, x ans the dependent variable, y, was given by the Nikki's graphing tool line of best fit as follows;
y = 0.338·x - 1.387
Therefore, the number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y is given as follows;
20 = 0.338·x - 1.387
20 + 1.387 = 0.338·x
0.338·x =20 + 1.387 = 21.387
x = 21.387/0.338 = 63.275 minutes
The number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y = 63.275 minutes.
Answer:
C. 63 minutes
Step-by-step explanation:
Nan left her house at 1 p.m. driving at a constant speed of 40 miles perhour. If she continues at that same speed for the entire trip, she will reach
her destination at 4:45 p.m. If Nan were to drive 10 miles per hour faster,
how much quicker would she arrive?
Answer:
45 minutes faster
Step-by-step explanation:
Distance:
40 x 3.75 = 150
If travel 50 miles/h:
150/50 = 3
3.75 - 3 = 0.75 of hour
45 minutes
Hope that helped!!! k
The product of the roots of the equation x2 + x = 2 is: -2
Step-by-step explanation:
There are answers to this problem based on how we interpret this question.
If the question is x^2 + x =2
=> x = 1
Since, 1^2 + 1 = 2.
Another way to interpret this question is 2x+ x = 2
=> 3x = 2
=> x= 2/3
The answer differs based on how we interpret this question.
Hope this helps you.
Answer:
-2
Step-by-step explanation:
The EASIEST way to do this is using the laws of the sum and products of roots.
When you multiply two roots together, you simply get c/a
So, let's start:
x^2 + x = 2
subtract the 2 to get a quadratic equation equal to 0
x^2 + x -2 =0
Now,
a=1
b=1
c=-2
plug b and a into c/a
-(2/1)= -(2) = -2
The answer is -2.
It's NOT 1. the answer would be 1 IF it was adding the roots.
Find the value of
x for which ABCD
must be a
parallelogram.
6
54
3
27
Answer:
3
Step-by-step explanation:
As it's a parallelogram the cross splits each diagonal exactly in half, so each half is the same:
-9-6x = x-30
7x=21
x=3
What are all of the properties of kites? This is an inquiry comprised within the means of 'high school' 'geometry'.
[tex] \Large{ \boxed{ \rm{ \red{Refer \: to \: the \: attachment}}}}[/tex]
It is a quadrilateral in which two pairs of adjacent sides are equal in measure.➤ Like Here, AB = BC and AD = CD
The diagonals intersect at right angles. Here, OA = OC and angle A = angle CDiagonals bisect the touching angles. Like here, Diagonal BD intersects angle B and angle D.Diagonal BD divides the kite into two congurent triangles of equal area. So, these triangles can overlap each other.━━━━━━━━━━━━━━━━━━━━
Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of the play area is 5.3 meters. If she wants to cover the area in foam, how much foam does she need to buy? Due to the accuracy of the tape measure Avani used, the amount of foam needed to cover the play area is A.39 B.39.75 C.39.8 D.40
Answer:
Step-by-step explanation:
Area of the rectangle length x width
7.5x5.3 =39.75 sq.m
so, B is the correct answer.
Select the correct answer.
In which career would you most likely apply concepts from geometry?
Answer:
civil engineering..
hope it helps u
Calculate the mode of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3.
Answer:
the Mode Is 3
Step-by-step explanation:
You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode
Condition for increasing decreasing and concavity of function
Answer:
If the concavity of f changes at a point (c,f(c)), then f′ is changing from increasing to decreasing (or, decreasing to increasing) at x=c. That means that the sign of f″ is changing from positive to negative (or, negative to positive) at x=c. This leads to the following theorem
Step-by-step explanation:
The previous section showed how the first derivative of a function, f′ , can relay important information about f . We now apply the same technique to f′ itself, and learn what this tells us about f . The key to studying f′ is to consider its derivative, namely f′′ , which is the second derivative of f . When f′′>0 , f′ is increasing. When f′′<0 , f′ is decreasing. f′ has relative maxima and minima where f′′=0 or is undefined. This section explores how knowing information about f′′
Let f be differentiable on an interval I . The graph of f is concave up on I if f′ is increasing. The graph of f is concave down on I if f′ is decreasing. If f′ is constant then the graph of f is said to have no concavity.
Note: We often state that " f is concave up" instead of "the graph of f is concave up" for simplicity.
The graph of a function f is concave up when f′ is increasing. That means as one looks at a concave up graph from left to right, the slopes of the tangent lines will be increasing. Consider Figure 3.4.1 , where a concave up graph is shown along with some tangent lines. Notice how the tangent line on the left is steep, downward, corresponding to a small value of f′ . On the right, the tangent line is steep, upward, corresponding to a large value of f′ .
Sofie deposits $45.00 into a new savings account. The account earns 2.5% simple interest per year. No money is added or removed from the savings account for 4 years. What is the total amount of money in her savings account at the end of the 4 years? A. $1.13 C. $49.50 B. $4.50 D. $45
Answer:
$49.50
Step-by-step explanation:
First, let's find how much total interest was made
For every year, 2.5% interest was made
Since we're finding the total for 4 years
It will be 4 x 2.5 = 10% total interest
Now let's find 10% of 45
45 x .1 = 4.5
This means we made $4.5 in those 4 years
Now we just add it to our starting amount
45 + 4.5 = 49.5
Solve the triangle. A = 51°, b = 14, c = 6
Answer: a = 11.24 B = 75.5° C = 53.5°
Step-by-step explanation:
Use Law of Cosines to find a: a² = b² + c² - 2bc · cos A
Given: b = 14, c = 6, A = 51°
a² = (14)² + (6)² - 2(14)(6) · cos 51°
a² = 196 + 36 - 168 · cos 51°
a² = 232 - 105.72
a² = 126.27
a = 11.24
Use Law of Sines to find B: [tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
Given: A = 51°, a = 11.24, b = 14
[tex]\dfrac{\sin 51^o}{11.24}=\dfrac{\sin B}{14}\\\\\\\dfrac{14\sin51^o}{11.24}=\sin B\\\\\\\sin^{-1}\bigg(\dfrac{14\sin51^o}{11.24}\bigg)=B\\\\\\75.5^0=B[/tex]
Use Triangle Sum Theorem to find C: A + B + C = 180°
Given: A = 51°, B = 75.5°
51° + 75.5° + C = 180°
126.5° + C = 180°
C = 53.5°
1. Tell whether the number 47 is prime
or
composite. Then write all the factors of the number.
2.Tell whether the number 81 is prime
or
composite. Then write all the factors of the number
Answer:47 is a prime and 81 is a composite
Step-by-step explanation:47={1,47}
81={1,3,9,18,27,81}
1. The number 47 is prime. The only factors are 1 and itself. We can check by dividing 47 over the list of primes smaller than 47. To be more efficient, we can stop once we reach sqrt(47) = 6.85. So we only need to check the primes {2, 3, 5} to show they are not factors of 47 to show that 47 is prime.
=====================================
2. The number 81 is composite. It is not prime because it has factors other than 1 and itself.
There are 5 factors and they are
1, 3, 9, 27, 81
Note how each factor listed is a power of 3 (1 = 3^0, 3 = 3^1, 9 = 3^2, 27 = 3^3, 81 = 3^4)
The prime factorization of 81 is
81 = 3*3*3*3 = 3^4
A___has a regular polygon base and a vertex over the center of the base.
A. Regular pyramid
B. Prism
C. Pyramid
D. Right Prism
Answer:
A. Regular pyramid
Step-by-step explanation:
If it has a vertex over the centre of the base, it has to be a pyramid.
Also, since the base is a regular polygon, the solid is a regular pyramid.
Answer:
The correct answer is
Step-by-step explanation:
Regular pyramid: A regular pyramid has a regular polygon base and a vertex over the center of the base.
Hope this helps....
Have a nice day!!!!
* * +:) help .........
1. -11 2.-3
Make sure to simplify the equation..
example: 3(2x - 7) = 6x - 21
because 3 x 2 = 6 and 3 x 7 = 21
Point F lies on line EG and point M lies on line EN. If F, E, and M are collinear, what must be true of these rays?
Answer:
Step-by-step explanation:
Some options would have definitely helped in answering this question. i am answering this question based on my knowledge. If F,E, and M are collinear, then EG and EN will form a line. Some options would have definitely helped in answering this question. i am answering this question based on my knowledge. If F,E, and M are collinear, then EG and EN will form a line.
Any help is appreciated (:
Answer: True
Step-by-step explanation:
The number is going down in a way that cannot be written as a straight line so it is a nonlinear.
A number is three times another number. The difference of these two numbers is 10. Find these number.
Answer:
5,15
Step-by-step explanation:
let the numbers be x and y
but y = 3x
3x - x = 10
2x = 10
x = 5
Answer:
[tex]\Large \boxed{\sf 15 \ and \ 5}[/tex]
Step-by-step explanation:
Let the first number be x.
Let the second number be y.
x is 3 times y.
Difference of x and y is 10.
[tex]x=3y[/tex]
[tex]x-y=10[/tex]
Put x as 3y in the second equation.
[tex]3y-y=10[/tex]
Combine like terms.
[tex]2y=10[/tex]
Divide both sides by 2.
[tex]y=5[/tex]
Plug y as 5 in the first equation.
[tex]x=3(5)[/tex]
Multiply.
[tex]x=15[/tex]
The two numbers are 15 and 5.
a store sells a 1 1/4 pound of turkey for 9 dollars what is the unit price of the turkey in the package
Answer:
7.20 dollars
Step-by-step explanation:
1 1/4 can be expressed as 5/4 ((1*4+1) /4)
If price of 5/4 pound of turkey = $9
Price of 1 pound of turkey = $9 / (5/4)
( Same way you'd divide the price of 2 pounds by 2 to get the price of 1 pound)
$9 / (5/4) = $7.2
please tell me the coordinates
Answer:
A'(-9, -3)
Step-by-step explanation:
The coordinates of A are (-3, -1).
The dilation factor is 3.
Multiply the coordinates of A by 3.
A'(-9, -3)
Answer:
Coordinates of A´ are (-3,-1), it is dilated by the factor of 3, The New coordinates will be:-
[tex](-3\times 3)=-9[/tex]
[tex](-1\times3)=-3[/tex]
[tex]A'(-9,-3)[/tex]
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