Answer:
y-5=-3(x-1) simplified: y=-3x+8
Step-by-step explanation:
y-y1=m(x-x1)
plug in point and slope given
y-5=-3(x-1)
y=-3x+3+5
y=-3x+8
Answer:
Step-by-step explanation:
Method #1
We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
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Method #2
We can use the Distance Formula:
![\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E%7B2%7D%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E%7B2%7D%7D%20%3D%20D)
<em>N</em>[−3, 2] <em>M</em>[−6, 0]
![\sqrt{[3 - 6]^{2} + [0 + 2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B3%20-%206%5D%5E%7B2%7D%20%2B%20%5B0%20%2B%202%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{[-3]^{2} + 2^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-3%5D%5E%7B2%7D%20%2B%202%5E%7B2%7D%7D%20%3D%20D)
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
** You see? It does not matter which method you choose, as long as you are doing the work correctly.
I am delighted to assist you anytime.
<span>Simplifying
4x + 8y = 30.60
Solving
4x + 8y = 30.60
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8y' to each side of the equation.
4x + 8y + -8y = 30.60 + -8y
Combine like terms: 8y + -8y = 0
4x + 0 = 30.60 + -8y
4x = 30.60 + -8y
Divide each side by '4'.
x = 7.65 + -2y
Simplifying
x = 7.65 + -2y</span>
Answer:
Every half a hour she is making 3.25 or 6.5 a hour
0.5=3.25 1=6.5, 1.5=9.75, 2=13, 2.5=16.25, 3=19.5, 3.5=22.75 4=26 5=32.5
Step-by-step explanation:
Just take the 19.50 she earned and divide it by the 3 hours she worked to get 6.5 per hour
Answer:
11
Step-by-step explanation:
first multiply 11 by 2 getting 22 then divide by 88 giving 44 then finally divide 4 by 44 getting 11
