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scoundrel [369]
3 years ago
13

#1 Find the slope given the points (3,-20) and (5,8) *

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

Hey there :)

To find the slope with <em>two points</em> we will need to use the equation  \frac{y^2-y^1}{x^2-x^1}

x^1    x^2       y^1  y^2

( 3 , -20 )  ( 5 , 8 )

Here is what the equation should look like when replaced with the numbers (<em>it will be a fraction</em>) :

                                     \frac{8 - (-20)}{5 - 3}

We know that <em>two negatives</em> cancel out and make a positive, so the numerator would actually be 8 + 20.

Solve the fraction and we get   \frac{28}{2}

28 <em>divided</em> by 2 is 14. The slope is 14.

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Alex borrowed $12.50 from his friend Danilo. He paid him back $8.75. How much does he still owe?
Arisa [49]
$3.75 Because $12.50 - $8.75=$3.75

7 0
3 years ago
Read 2 more answers
A 10-foot ladder touches the side of a building at a point 8 feet above the ground. At what height would a 22-foot ladder touch
WARRIOR [948]
<h2>Answer:</h2>

8.75 feet

<h2>Step by step:</h2>

Given that a 12 foot ladder leans against a building seven feet above the ground.

By using trigonometry ratio, the angle between the ladder and the ground will be

SinØ = opposite/ hypothenus

SinØ = 7 / 12

SinØ = 0.58333

Ø = Sin^-1(0.58333)

Ø = 35.69 degree

At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?

Using the same trigonometric ratios

SinØ = opposite/hypothenus

Sin 35.69 = opposite/ 15

Cross multiply

Opposite = 15 × sin 35.69

Opposite = 8.75 feet

Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.

6 0
3 years ago
Find the value of the variable y in the equation –5.7 + y = 8.2.
emmasim [6.3K]

Answer:

y = 13.9

Step-by-step explanation:

It is given that  

–5.7 + y = 8.2.    -----(1)

Equation (1) is a linear equation in one variable.  

LHS consists of a constant and a variable term

RHS consists of only constant term

<u>Find the value of y</u>

Solving the equation

-5.7 + y = 8.2

moving -5.7 to the RHS

y = 8.2 + 5.7

y = 13.9

Therefore the value of y = 13.9

-5.7 + y = 8.2

5 0
3 years ago
A typical stone on the lowest level of the Great Pyramid in Egypt was a rectangular prism 5 feet long by 5 feet high by 6 feet d
Lemur [1.5K]
To find the volume, you need to do length times width times heightSO you have to do 5 times 5 times 6The volume is 150 cubic feetSince 150 cubic feet of this rectangular prism is 15 tonsyou can do 15 divided by 150so one cubic feet of this stone sculpture weight 0.1 tons
6 0
3 years ago
-3×+7y=5<br> -8×+14y=-10<br> By elimination
dimaraw [331]
-3x+7y=5 (x2) -> -6x+14y=10

-6x+14y=10
-8x+14y=-10
——————— -
2x=20
x=20/20
x=1

Susbstitute x=1,

-8x+14y=-10
-8(1)+14y=-10
-8+14y=-10
14y=-10+8
14y=-2
y=-2/14
y=-1/7

I hope it helps
5 0
3 years ago
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