Find the equation of the line that passes through the points (1, 6) and (2, 8).
By substitution in this equation, show that (3, 10) also lies on this line.

Answer:

Slope = -1/2

Y-Intercept = 2

Equation: Y=-1/2x+2

Step-by-step explanation:

Graph goes 2 units up at y=2, that's your y-intercept. From there, plot your second point by moving 1 down and 2 to the right from the y-intercept, landing on the point (2,1) to get your slope, written as -1/2.

Answer:

p,q,r

Step-by-step explanation:

Given:

The pair of expressions in the options.

To find:

The pairs which show a pair of equivalent expressions.

Solution:

Property of exponent:

[tex](\sqrt[n]{x})^m=x^{\frac{m}{n}}[/tex]

In option A,

[tex](\sqrt[4]{81})^5=81^{\frac{5}{4}}[/tex]

So, option A is correct.

In option B,

[tex]6^{\frac{7}{2}}=(\sqrt[2]{6})^7[/tex]

[tex]6^{\frac{7}{2}}=(\sqrt{6})^7[/tex]

So, option B is correct.

In option C,

[tex]5^{\frac{2}{3}}=(\sqrt[3]{5})^2[/tex]

[tex]5^{\frac{2}{3}}\neq (\sqrt{5})^3[/tex]

So, option C is incorrect.

In option D,

[tex]7^{\frac{5}{7}}=(\sqrt[7]{7})^5[/tex]

[tex]7^{\frac{5}{7}}\neq (\sqrt{7})^5[/tex]

So, option D is incorrect.

Answer:it’s a and b

Step-by-step explanation:

did the test

Answer:

d

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

b is  6xy

2x+4y is the equivalent expression of x+x+4y.

An expression is combination of variables, numbers and operators.

The given expression is  x + x + 4y

x plus x plus four times of y.

In the given expression x and y are two variables.

Equivalent expressions are expressions whose value will remain same after simplifying or solving.

We need to add x variable terms once and then with y term

x + x + 4y

2x+4y

Hence, 2x+4y is the equivalent expression of x+x+4y.

To learn more on Expressions click:

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Answer:

64

Step-by-step explanation:

Given :

h α 1 / sqrtk

h = k/sqrt(d)

Obtain the value of k, when. d = 4 and h = 20

20 = k / sqrt(4)

20 = k / 2

20 * 2 = k

k = 40

Therefore, the value of d when h = 5

h = k/sqrt(d)

5 = 40 / sqrt(d)

Square both sides

25 = 1600/d

25d = 1600

d = 1600 / 25

d = 64

d = 64

Answer:

the graph on the bottom left

Step-by-step explanation:

outliers are points that are away from the cluster of points in the bottom left graph all of the points are grouped up therefor the bottom left graph is the correct answer

Answer:

A) 1.3 and C) −2

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

use pythagorean theorem (a^2+b^2=c^2)

you have c^2 and one of the sides so you just reverse the equation and do

17^2-8^2

and that gives you 225

when you [tex]\sqrt{225}[/tex], you get 15 as your answer

Answer:

im not sure but i think its e,c,f

Step-by-step explanation:

Answer:

55 °

Here's the way i got my answer :

Complementary angles are two angles that have a sum of 90° ,therefore 35° + X = 90°

X=55° .

to get ∠DBF

180° - 90° = 90 °

to get ∠EBF

∠CBD + ∠DBE + ∠EBF = 180°

35° + 90° + ∠EBF = 180°

∠EBF = 55°

Answer: 1 is independant

Step-by-step explanation: 2 is dependant. GOT IT CORRECT TRUST ME!!!

Answer:

The surface area of the rectangular prism is 748 ft2.

Step-by-step explanation:

formula for surface area: A=2(wl+hl+hw)

A=2(wl+hl+hw)=2(5x16+14x16+14x5)=748

Answer:

748 ft²

Step-by-step explanation:

For the surface area, you need to add up the area of all sides, six in this example, but it can be simplified into three by multiplying some of them by two as its presumed a rectangle

x1 = 5*14*2 = 140

x2 = 16*14*2 = 448

x3 =16*5*2 = 160

You find the sum of these; 140 + 160 + 448 = 300 + 448 = 748

Answer: x = -7

Step-by-step explanation:

7 (x + 4) = -21

7x + 28 = -21

Subtract 28 from both sides

7x = -49

Divide both sides by 7

x = -7

Answer:

x = -7

Step-by-step explanation:

first distribute he 7 to get 7x + 28 = -21

then subtract 28 from both sides to get 7x = -49

lastly divide 7 from both sides to get x = -7

Answer:

Trevor is right

Step-by-step explanation:

The solution of system of equations are [tex](4,0)[/tex]

Therefore, Trevor conclusion is true.

Given system of equations;

                 [tex]x- 2y = 4\\\\y=4-x[/tex]

Substitute value of y from equation (2) in equation (1).

           [tex]x-2(4-x)=4\\\\x-8+2x=4\\\\3x=12\\\\\\x=12/3=4[/tex]

Substitute value of x in second equation.

 [tex]y=4-x=4-4=0[/tex]

Hence, the solution of system of equations are [tex](4,0)[/tex]

Learn more about the system of equations here:

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Answer:

3 ft

Step-by-step explanation:

Because 6 divided by 2 equals 3. And two 1s equal 2.

Answer:3ft

Step-by-step explanation:6/2

Answer:

100/ 651 , or 0.15361

Step-by-step explanation:

this took so long

Answer:

0.15360983102

.......

Answer:

y=−8

Step-by-step explanation:

−7y+4=60

Subtract 4 from both sides.

−7y=60−4

Subtract 4 from 60 to get 56.

−7y=56

Divide both sides by −7.

y=−56/7

Divide 56 by −7 to get −8.

y=−8

Grapf if needed:

Answer:

The answer is D

Step-by-step explanation:

Answer:

1 simple

Step-by-step explanation:

Answer:

The points that fits the equation would be option D.

your answer would be 33.

step 1

2(+14)−1(2−5)

2+28−1(2−5)

step 2 distribute

2+28−1(2−5)

2+28−2+5

step 3 then add the numbers

2+28−2+5

2+33−2

combine

2+33−2

ANSWER IS

33

Answer:

cost = 112

profit= 168

Step-by-step explanation:

280÷100=2.8

2.8×40=112

profit = price - cost

= 280-112

= 168

Answer:

-8y° -7y

Step-by-step explanation:

Like terms:

13y-11y-9y= -7y

-8y°= -8y°

Simplified Expression:

-8y°-7y

Answer:

118

Step-by-step explanation:

a triangle is 180 degrease and two sides that are equal to each other which means the angles across from them have the same thing.

so. 180-31-31=118

Answer:

x=9

Step-by-step explanation:

these are vertical angles, so they equal eachother!

12x-3=105

move three to the other side of the equals sign

12x=108

divide both sides by 108

x=9

Answer: x=9

Step-by-step explanation:

These angles are equal, so you can set 105 equal to 12x-3. Add 3 and divide by 12 to get x=9.

Answer:

The angle X = 33° Brainliest pls!

Step-by-step explanation:

180-104 = 76, 76- 10 = 66, 66/2=33