MATHEMATICS HIGH SCHOOL

Find The Slope
(-4, 6) and (-2,1)

Answers

Answer 1
Answer:

Answer:

-5/-6

Step-by-step explanation:

Use the equation rise over run, which is also y2-y1 over x2-x1

in basically every type of thing, x always comes first then y

y2=1 y1=6 x2=-2 x1=-4

1-6/-2-(-4)=-5/-6, because it was changed to, -5/-2+4

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Write the equation for "Three times the difference of -14 and 4 amounts to -54."

Answers

Answer:

3(-14 - 4) = -54

Step-by-step explanation:

We can write the equation using parentheses:

3(-14 - 4) = -54

These parentheses ensure that the subtraction is done first, making the equation true.

y = 1/2x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4)

Answers

Answer:

(-4,-8)

Step-by-step explanation:

Given :


y = (1)/(2) x -6  ---(1)


x= -4    ------(2)


Solution :

To find the solution of given system of equation we need to use the substitution method i.e. we need to substitute the value of x from equation (2)  in equation (1).


⇒y=(1)/(2) *(-4)-6


⇒y=-2-6


⇒y= -8

Thus for x =-4 we get y = -8


Hence (-4,-8) is the solution to the given system of equations .

y = 1/2 (-4) - 6 = -2 - 6 = -8
Therefore, solution is (-4, -8)

Your office is moving into a new space and you have to decide if you want electric heat or natural gas. you have determined that it will take about 4000 kwh per month to heat the space with electricity and currently your electric company charges $0.075 per kwh. the natural gas provider currently charges $1.85 per therm.the conversions you will need are:1 kwh = 3,413 btu; 100,000 btu = 1 therm.

Answers

electric : 4000 kwh per month......at 0.075 per kwh = 4000 * 0.075 = 300 per month

gas : 1 kwh = 3413 btu.....so 4000 kwh = 4000 * 3413 = 13,652,000 btu.
100,000 btu = 1 therm.....so 13,652,000 btu = 13,652,000/100000 =
136.52 therms....at 1.85 per therm = 136.52* 1.85 = 252.56

Gas would be the better deal....because for electric, u r paying 300 per month and with gas, u r paying 252.56 per month

Which solid figure has six vertices?

Answers

A triangular prism has six vertices.

What is the solution to4(2x– 3)= 2(3x+ 1)?


-5

1

7

10

Answers

4 (2x – 3)= 2( 3x + 1)
(4 (2x – 3)= 2( 3x + 1)) ÷ 2
2 (2x – 3) = (3x + 1)
4x - 6 = 3x +1
-3x       -3x
__________
x - 6 = 1
   +6  +6
______
x = 7

Translating word problems to algebraic expressions:

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Answers

The equation is x+24+x=58, so you subtract 24 from 58 and get 34 then add the x's and get 2x=34 or x=17
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