Answer:
7.84 × 10
^7
Step-by-step explanation:
Answer:
<h2>x = -347 1/2</h2>
Step-by-step explanation:
When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.
Step 1: Simplify by combining like terms
y = -x/2 + 5/4 + 8y = -25
Step 2: Substitute
y = -25
-25 = -x/2 + 5/4 + 8(-25)
-25 = -x/2 + 5/4 + -200
-25 = -x/2 - 198 3/4
Step 3: Answer
x = -347 1/2
Step 4: Check
y = 3/2x + 5/4 −2x + 8y = −25
-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)
-25 = -25✔️
Step 5: Verified Answer
x = -347 1/2
I'm always happy to help :)
Answer:
10. put a dot on the number 10
Step-by-step explanation:
3-(-5)-(-2)
when subtracting negatives, you actually end up adding
so
3+5+2=10
Answer:
<em>d) The equation of the line passing through the points </em>
![y = \frac{-x}{2} - 4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-x%7D%7B2%7D%20-%204)
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given points are ( 0, -4) and (2 ,0)
slope of the line
![m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{2-0}{0-4} = \frac{-2}{4}= \frac{-1}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D-%20y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-%20x_%7B1%7D%20%20%7D%20%3D%20%5Cfrac%7B2-0%7D%7B0-4%7D%20%3D%20%5Cfrac%7B-2%7D%7B4%7D%3D%20%5Cfrac%7B-1%7D%7B2%7D)
<u><em>Step(ii):</em></u>-
The equation of the line passing through the point ( 0,-4) and having slope
![m = \frac{-1}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-1%7D%7B2%7D)
![y - y_{1} = m ( x - x_{1} )](https://tex.z-dn.net/?f=y%20-%20y_%7B1%7D%20%3D%20m%20%28%20x%20-%20x_%7B1%7D%20%29)
![y - (-4) = \frac{-1}{2} ( x - 0 )](https://tex.z-dn.net/?f=y%20-%20%28-4%29%20%3D%20%5Cfrac%7B-1%7D%7B2%7D%20%20%28%20x%20-%200%20%29)
2 ( y +4) = -x
2 y + 8 = -x
2 y = - x - 8
![y = \frac{-x}{2} - \frac{8}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-x%7D%7B2%7D%20-%20%5Cfrac%7B8%7D%7B2%7D)
![y = \frac{-x}{2} - 4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-x%7D%7B2%7D%20-%204)
<u><em>Final answer:-</em></u>
<em>The equation of the line passing through the points </em>
![y = \frac{-x}{2} - 4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-x%7D%7B2%7D%20-%204)
<em></em>
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