For this case we have the following equation:
x ^ 2 + 18x + 32 = 0
Rewriting we have:
x ^ 2 + 18x = -32
By completing squares we have:
x ^ 2 + 18x + (18/2) ^ 2 = -32 + (18/2) ^ 2
Rewriting:
x ^ 2 + 18x + (9) ^ 2 = -32 + (9) ^ 2
x ^ 2 + 18x + 81 = -32 + 81
x ^ 2 + 18x + 81 = 49
(x + 9) ^ 2 = 49
Answer:
(x + 9) ^ 2 = 49
option 1
Answer:
16
Step-by-step explanation:
Answer:
b = x/2 - v
Step-by-step explanation:
2(b+v) = x
b + v = x/2
b = x/2 - v
The length of the triangle will be equal to 2.7.
<h3>How to calculate the length?</h3>
It should be noted that that sin will be the opposite divided by the hypothenuse.
The measure of angle L is 20°.
This will be:
sin 20 = LN/8
NM = 8 sin 20
NM = 2.7
In conclusion, NM is 2.7.
Learn more about triangles on:
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First, change the given equation to slope-intercept form:
4y = 3x + 4
y = (3/4)x + 1
Because the line we are trying to write the equation for is parallel to the above line, the new line must have the same slope (3/4).
We can then substitute (4, 0) to find the y-intercept (b):
0 = (3/4) * 4 + b
0 = 3 + b
-3 = b
Our y-intercept is -3
We can now write the whole equation:
y = (3/4)x - 3
Your final answer is y = (3/4)x - 3
Hope this helps!! Let me know if you have ANY questions.