FIND THE DISTANCE BETWEEN THE TWO POINTS
A(0, 0), B(6, 8)
Answer:
10
Step-by-step explanation:
Mathematical Formula: [tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Therefore: [tex]\sqrt{\left(6-0\right)^2+\left(8-0\right)^2}[/tex]
Which = 10
Write a verbal expression for 3n-8
Answer: Pick anyone that suits you
8 is subtracted from 3 times a numberThrice a number minus 8Step-by-step explanation:
Answer:
[tex]\large \boxed{\mathrm{Eight \ subtracted \ from \ the \ product \ of \ three \ and \ a \ number.}}[/tex]
Step-by-step explanation:
[tex]\sf 3n-8[/tex]
n is a number.
8 is subtracted from the product of 3 and a number.
The verbal expression would be :
Eight subtracted from the product of three and a number.
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
Answer:
B {6, 6, 7}
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;
Let the side be ;
x, y and z
Then:
x > (y + z) or
y > (x + z) or
z > (x + y)
For A{2,5,9}
(2 + 5) < 9 (does not meet criteria)
For B {6,6,7}
(6 +6) > 7
(7 +6) > 6
Meets all criteria
For C {6,4,2}
(4 +2) is not greater Than 6 (does not meet criteria)
For D {7,8,1}
(7 +1) is not greater Than 8 ( does not meet criteria)
In your own words define and give an example of Associative Property
Answer:
The associative property states that you can add or multiply regardless of how the numbers are grouped.
Step-by-step explanation:
3+4+9=9+3+4=4+9+3 etc
Solve for x.
8x + 3 > 4 (1/2x – 3)
Answer:
[tex]x>-5/2[/tex]
Step-by-step explanation:
So we have:
[tex]8x+3>4(\frac{1}{2}x-3)[/tex]
First, distribute the right:
[tex]8x+3>2x-12[/tex]
Subtract 2x from both sides:
[tex]6x+3>-12[/tex]
Subtract 3 from both sides:
[tex]6x>-15[/tex]
Divide everything by 6:
[tex]x>-15/6[/tex]
Reduce:
[tex]x>-5/2[/tex]
And this is our answer :)
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
Answer:
2 works
-3 is extraneous
Step-by-step explanation:
sqrt(x + 7) - 1 = x Add 1 to both sides
sqrt(x + 7) = x + 1 Square both sides
(x + 7) = (x + 1 )^2
x + 7 = x^2 + 2x + 1 Subtract x from both sides
0 = x^2 + x + 1 -7
0 = x^2 + x - 6 This will factor
(x + 3)(x - 2) = 0 Find the values for x
x + 3 = 0
x = - 3
x - 2 = 0
x = 2
Now you must check this to see if both values work
sqrt(-3 + 7) - 1 = -3
sqrt(4) - 1 = -3
2 - 1 =? - 3
1 does not equal - 3. Therefore - 3 is extraneous. Try x = 2
sqrt(2 + 7) - 1 = 2
sqrt(9) - 1 = 2
3 - 1 = 2
2 = 2
Find the distance between these points. C(0, 4), T(-6, -3) √(37) √(109) √(85)
Answer:
The answer is
[tex] \sqrt{85} [/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(0, 4), T(-6, -3)
The distance between them is
[tex] |CT| = \sqrt{ ({0 + 6})^{2} + ({4 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {7}^{2} } \\ = \sqrt{36 + 49} [/tex]We have the final answer as
[tex] \sqrt{85} [/tex]Hope this helps you
Oscar rode his bicycle at a rate of 9 mph and then speed up to 16 mph. he rode 30 minutes longer at 9 mph than he did at 16 mph. If he traveled a total of 22 miles, how long did he ride at the slower rate?
Answer:
t = 0.7 h
The time he rode at a slower speed is 1.2 h
Step-by-step explanation:
-The question involves algebra, to find the time the distance formula is used involving the values of distance, time and speed.
- distance = speed 1 * time 1 + speed 2 * time 2
If Oscar traveled for t minutes at 9mph and it took him 15 minutes longer than when he traveled at 16mph it means that:
speed 1 * time 1 + 30 minutes.
But 30 minutes converted to hours is 0.5 hours
22 miles = 9 * (t + 0.5) + 16 * t
22 = 9t + 4.5 + 16t
17.5 = 25t
17.5 / 25 = t
The answer is: t = 0.7
Checking the value in the equation:
22 miles = 9 * (t + 0.5) + 16 * t
22 = 9 * (0.7 + 0.5) + 16 * 0.7
22 = 9 * 1.2 + 11.2
22 = 10.8 + 11.2
22 = 22
Factorize the following quadratic equation u²- 12 u + 35 = 0
Answer:
X₁=7 ,X₂ = 5
Step-by-step explanation:
a= 1² b= - 12 c= 35
X =[ ( -b±√b²-4ac ) / 2a]
So, use this formula and get the answer...
Even if you use the middle term formula, you will get the same answer
According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. How many cruise passengers must there have been in 2017
Answer:
approximately 26.7 million
Step-by-step explanation:
Let x be the number of cruise passengers in 2017.
6.7% increase of x gives us 28.5 m cruise passengers in 2018.
Thus, 106.7 % of x = 28.5
[tex] \frac{106.7}{100} * x = 28.5 [/tex]
[tex] \frac{106.7x}{100} = 28.5 [/tex]
Multiply both sides by 100
[tex] \frac{106.7x}{100} * 100 = 28.5*100 [/tex]
[tex] 106.7x = 2850 [/tex]
Divide both sides by 106.7
[tex] \frac{106.7x}{106.7} = \frac{2850}{106.7} [/tex]
[tex] x = 26.7 [/tex] (approximated)
Number of passengers in 2017 must have been approximately 26.7 million
What is the value of x that makes the given equation true? 4x−3=−12x+13 x=−3 x = 0 x = 1 x = 16
Answer:
The answer is C.
:)
Step-by-step explanation:
4x − 3= −12x + 13
4x + 12x = 13 + 3
16x = 16
x = 1
Answer:
X=1
Step-by-step explanation:
I took the k12 test and got it right
have a good life =D
If there are 132 stamps on a total of 12 pages in a collector's book, what the unit rate of stamps per page ?
Answer: 11 stamps per page
Step-by-step explanation: 132 divided by 12
How do you perform this: 2x+3y=25 3x+4y=22
Answer:
x = -34 , y = 31
Step-by-step explanation suing Gaussian elimination:
Solve the following system:
{2 x + 3 y = 25
3 x + 4 y = 22
Express the system in matrix form:
(2 | 3
3 | 4)(x
y) = (25
22)
Write the system in augmented matrix form and use Gaussian elimination:
(2 | 3 | 25
3 | 4 | 22)
Swap row 1 with row 2:
(3 | 4 | 22
2 | 3 | 25)
Subtract 2/3 × (row 1) from row 2:
(3 | 4 | 22
0 | 1/3 | 31/3)
Multiply row 2 by 3:
(3 | 4 | 22
0 | 1 | 31)
Subtract 4 × (row 2) from row 1:
(3 | 0 | -102
0 | 1 | 31)
Divide row 1 by 3:
(1 | 0 | -34
0 | 1 | 31)
Collect results:
Answer: {x = -34 , y = 31
Which two expressions , added together , form a function with the following characteristics?
-It’s range is all real numbers
- it’s graph has exactly two x-intercepts
Answer:
Options (B) and (C)
Step-by-step explanation:
We have to form a function which has following characteristics,
1). Its range is all real numbers
Which means graph of the given function starts from negative side of the y-axis (-∞) and goes towards positive direction of the y-axis (+∞).
It's a typical characteristic of odd degree polynomial/function.
2). The graph has exactly two x-intercepts.
Which means when we put f(x) = 0, we get exactly two values of x.
Therefore, function will be, f(x) = x³ + x²
Range of the function → (-∞, ∞) Or a set of all real numbers.
x-intercepts → f(x) = x³ + x² = 0
x²(x + 1) = 0
x = -1, 0
Therefore, Options (B) and (C) will be the answer.
the temperature at 5:00 PM is 4 degrees. By midnight, the temperature had dropped 12 degrees. What was the temperature at midnight?
Answer:
-8 degrees
Step-by-step explanation:
4-12 = -8
It dropped 12 degrees in 7 hours.
Answer: -8°
Step-by-step explanation:
4 - 12
2/3(6k-30)+k=100 this is the one I need help
The value of k = 20.
We have the following expression -
[tex]\frac{2}{3} (6k-30)+k=100[/tex]
We have to find the value of K.
Find the value of z → [tex]$log(2)^{z} = \pi[/tex].We have -
[tex]$log(2)^{z} = \pi[/tex]
z x log(2) = π
z = [tex]$\frac{\pi }{log\;2}[/tex]
z = 10.43
According to the question, we have -
[tex]\frac{2}{3} (6k-30)+k=100[/tex]
[tex]\frac{2}{3}\times 6[/tex](k - 5) + k = 100
4(k - 5) + k = 100
4k - 20 + k = 100
6k = 120
k = 20
Hence, the value of k = 20
To solve more questions on finding unknown variable, visit the link below-
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Simplify 8 + 10a - 3 + 5a when a=3
Answer:
50
Step-by-step explanation:
8 + 10a - 3 + 5a when a=3
8+10(3)-3+5(3)=
8+30-3+15=
38+15-3=50
gabriela makes quilts to sell at charities. she can make 9 quilts with 36 yards of material. how many yards of material would she require for 13 quilts ?
Given the function f (x) = 5x^2 - 2 find f (-3).
Answer:
Step-by-step explanation:
5(-3)^2 - 2
5(9) - 2
45 - 2 = 43
Provide two examples that show that all square roots are not irrational numbers ?
Answer:
[tex]\sqrt{4}, \ \sqrt{9} \text{ are rational numbers.}[/tex]
Step-by-step explanation:
Hello,
[tex]\sqrt{n^2}=n \ for \ n\geq 0\\\\\text{For instance}\\\\\sqrt{2^2}=2=\sqrt{4}\\\\\sqrt{3^2}=3=\sqrt{9}[/tex]
A triangle has a perimeter of 48 inches. Side B is nine inches longer than side A. The base is 7 inches more than twice side A. What are the dimensions of the triangle?
Answer:
(A, B, C) = (8, 17, 23) inches
Step-by-step explanation:
We can let A, B, and C represent the corresponding side lengths. Then we are given ...
A + B + C = 48 . . . . . . the perimeter is 48 inches
B = A + 9 . . . . . . . . . . . B is 9 inches longer than A
C = 2A +7 . . . . . . . . . . the base (remaining side) is 7 inches more than ...
Substituting for B and C in the first equation, we have ...
A + (A+9) +(2A+7) = 48
4A = 32 . . . . . . . . . . . . . . collect terms, subtract 16
A = 8
B = A+9 = 17
C = 2A +7 = 23
Side A is 8 inches, side B is 17 inches, and side C is 23 inches.
Which is a real world example of two planes intersecting?
One example is the idea of two parts of a book that open up. Each flat part is a plane and the two planes intersect along the spine of the book.
Another example would be a wall intersecting with the floor. Both are flat surfaces.
A third example would be a laptop's screen as one plane and the keyboard as the other plane. They intersect at the hinge of the laptop.
For each example, the surface has a finite amount of area and it doesn't extend forever in all four directions. Theoretically, a plane is where the flat surface extends in all four directions infinitely. Though of course, real life has limitations but the idea is still applicable in a way.
Note how for each example, the two planes intersect to form a line. Also, each plane must be flat without bending or curving in any way.
What’s 11 + 9/35 make sure answer is a mixed number
Answer: 11 9/35
Step-by-step explanation: just add the whole number to the fraction.
Answer & Step-by-step explanation:
[tex]11+\frac{9}{35}[/tex]
Add the whole number to the fraction:
[tex]11 \frac{9}{35}[/tex]
:Done
can help me with this one?
A. 5x+9=17
B. -8x-7=15
C. 6(3×+8)=-
please send me the answer for both
Answer:
A is 1.6 and ion the other ones
The formula for the area of a triangle is a=1/2bh . If the base of the triangle is 6x units and has a height of x+3, write a simplified algebraic expression for the area of the triangle in terms of x
Answer:
a = 3x^2 +9x
Step-by-step explanation:
Put the given dimensions in the formula and simplify. The distributive property is useful.
a = (1/2)bh
a = (1/2)(6x)(x+3) = 3x(x +3)
a = 3x^2 +9x
Linda and juan went shopping. Linda spent $19 less than Juan. If we let x represent how much juan spent, write an algebraic expression for how much Linda spent
Which 2 statements are true
Answer:
B
Good luck in Geometry my guy!
The area of a square is 289 ft2. What is the length of each side?
Answer:
17 ft
Step-by-step explanation:
the area of a square is length x length, or [tex]length^{2}[/tex]
so, since you already have the area, do the opposite of squaring it, which is finding the square root.
[tex]\sqrt{289}[/tex] = 17
The length of each side of a square is [tex]17 feet[/tex] whose area is [tex]289 ft sq[/tex]. (mentioned in the question).
A square is a four-sided figure in which all sides are equal in length and the measure of each angle is [tex]90^0[/tex]. The area is defined as the space that is contained inside the closed boundary or perimeter or circumference.
We know that the
area of the square = [tex]side \times side[/tex]
[tex]289 ft sq[/tex] [tex]= side \times side[/tex]
[tex]289 = (side) ^2[/tex]
[tex]\sqrt{289 } = side[/tex]
[tex]17 = side[/tex]
Thus, the length of each side of a square consisting of an area of[tex]289 ft sq[/tex] is [tex]17 feet[/tex] .
Learn more about Square here :
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Both the galapagos Islands and the island of naura are on the equator, but the galapagos Islands are at 90.30 degree West whereas the island of naura is at 166.56 degree east. How far is it from galapagos Islands to naura travelling over the pacific ocean along the equator, correct to the nearest km
Answer:
11481.4875 km
Step-by-step explanation:
Given the that :
Galapagos island and Island of Naura are on the equator
Galapagos = 90.30°W
Island of Naura = 166.56°E
Ensuring same bearing is used for both :
Island of Naura = 166.56°E = (360° - 166.56°) = 193.44°W
Hence, we can calculate the difference in the bearing of both locations :
(193.44 - 90.30)°W = 103.14°
Hence the distance between Galapagos and Island of Naura along the equator is :
(Difference in bearing / total bearing) * earth's Circumference
Earth's Circumference = 40,075km
(103.14 / 360) × 40,075
0.2865 × 40,075
= 11481.4875 km
=
Can you please help me with this I’ll give you a playlist for sure it’s
Answer:
15+(-37)
initial 15
fell 37 so -37
Answer:
B, or the one labeled 15 + (-37)
Step-by-step explanation:
It starts with 15 degrees F, which is positive.
Then, you'd add -37 degrees.
Adding -37 degrees to 15 is the same as subtracting 37 from 15.
Good luck mate :)