Answer:
12
Step-by-step explanation:
Answer:
x = 4 or x = 12
Step-by-step explanation:
Given:
y = -10x² + 160x - 430
When y = $50
50 = -10x² + 160x - 430
50 + 430 = -10x² + 160x
480 = -10x² + 160x
-10x² + 160x - 480 = 0
Divide through by -10
x² - 16x + 48 = 0
Solve the quadratic equation using factorization method
+48 = -12 × -4
-16 = -12 -4
Therefore,
-12 and -4 are both factors
x² - 16x + 48 = 0
(x - 4 )(x - 12 ) = 0
x - 4 = 0
x = 4
OR
x - 12 = 0
x = 12
Answer:
Step-by-step explanation:
p² + 14p + 49 = p² + 2 * 7p + 7²
Comparing with a² + 2ab + b²,
a= p and b = 7
So 2ab = 2*p*7 = 14 p
So, p² + 14p + 49 is a perfect trinomial
X7,y2 i don’t know what else to thing
The measure of
is 68 degrees
<h3>How to solve the angle?</h3>
The complete question is in the attached image
The value of
is calculate using the following cosine function

Evaluate the quotient'

Take the arc cos of both sides

Evaluate the arc cos

Approximate to the nearest degree

Hence, the measure of
is 68 degrees
Read more about right triangles at:
brainly.com/question/2437195
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