Answer:
a = -6
Step-by-step explanation:
The given line in point-slope form is y + 2 = (1/2)(x - 4).
Replacing x with -4 yields y + 2 = (1/2)(-4 - 4) = (1/2)(-8)
Then y + 2 = -4, and so y = -6, or a = - 6.
<span>So...
We distribute so that...
7 * 2 = 14
7 * i = 7i
then
-3i * 2 = -6i
-3i * -i = 3i?
</span><span>then combine like terms...
7i - 6i + 3i = 4i
so 14 + 4i?</span>
Answer: w = 5 inches is the width of the gutter
Step-by-step explanation:
Change 18 ft to inches: 12 * 18 = 216
let w = the width of the gutter
the volume equation:
216 * 7 * w = 7560
1512w = 7560
w = 7560/1512
w = 5 inches is the width of the gutter
36/48 = 6/8 = 3/4
reduced by 6 and then again by 2
Answer:
y + 8 = 2x + 2
Step-by-step explanation:
Use the points given to find the slope. Divide the difference in y-values by the difference in x-values.
(-1) - (-7) = 6
5 - (-8) = 3
6/3 = 2
The slope is 2.
Now, pick one of the points to put in point-slope form. It doesn't matter which. You will get the right answer either way. I will use (-1, -8).
y - y₁ = m(x - x₁)
y - (-8) = 2(x - (-1))
y + 8 = 2(x + 1)
y + 8 = 2x + 2