13: 72.25
14: 52
For 14, you need to split the figure into a triangle and rectangle.
k is the y-coordinate of the vertex of the function. That vertex is located at (1, -2.5).
The value of k is ...
... A. k = -2.5
Answer:
<h2>The answer is 5.</h2>
Step-by-step explanation:
Let the number be x
Eight more than four times a certain number is written as
8 + 4x
12 less than eight times the number is written as
8x - 12
Equate them
We have
8 + 4x = 8x - 12
8x - 4x = 8 + 12
4x = 20
Divide both sides by 4
<h3>x = 5</h3>
Hope this helps you
Plug in points to general form of quadratic function:
y=ax²+bx+c
(0,7)
7 = c
(2,13)
13 = 4a +2b + c
(4,3)
3 = 16a + 4b + c
Now solve the system of equations in two unknowns.
Substitute the value of 7 for c in the second equation:
13 = 4a + 2b + 7
6 = 4a + 2b
3 = 2a + b
b = 3 - 2a
Substitute this into third equation:
3 = 16a + 4(3-2a) + 7
3 = 16a + 12 - 8a + 7
3 = 8a + 19
-16 = 8a
a = -2
b = 3-2a = 3 - 2(-2) = 7
a = -2, b =7. c = 7
The quadratic function is y= -2x² + 7x +7
We need to calculate the value of cos(43) to determine the value of p
<h3>How to evaluate the expression?</h3>
The equation is given as:
cos43 = p
Rewrite properly as:
cos(43) = p
Rewrite the equation as:
p = cos(43)
The above means that we simply calculate the value of cos(43) to determine the value of p
Read more about cosine at:
brainly.com/question/17075439
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