f(-2)=g(-2)
Think of the number in parentheses as your x value. f(x)=y. In this case the line hit at (-2,4) so when f(x) = 4, g(x)= 4 and 4=4 so you then have to find the x which in this case is -2. I’m pretty bad at explaining but there’s your answer
The quadratic function that passes through the point (0,6), (3,15.8), and (9.5,0) is y = -0.6x² + 5.07x + 6
<h3>How to determine the quadratic function?</h3>
The points are given as:
(0,6), (3,15.8), and (9.5,0)
A quadratic function is represented as:
y = ax² + bx + c
Next, we substitute the points in the equation.
a(0)² + b(0) + c = 6
a(3)² + b(3) + c = 15.8
a(9.5)² + b(9.5) + c = 0
Simplify the expressions
c = 6
9a + 3b + c = 15.8
90.25a + 9.5b + c = 0
Solve for a, b and c using a graphing calculator
a = -0.6
b = 5.07
c = 6
Hence, the quadratic function is
y = -0.6x² + 5.07x + 6
Read more about quadratic functions at:
brainly.com/question/1214333
#SPJ1
Answer:
58
Step-by-step explanation:
The triangles are congruent so you can do 180-32-90, which is equal to the angle at c
Answer:
y intercept = ![(0, ~-\frac{5}{2} )](https://tex.z-dn.net/?f=%280%2C%20~-%5Cfrac%7B5%7D%7B2%7D%20%29)
x intercept = ![(-2, ~0)](https://tex.z-dn.net/?f=%28-2%2C%20~0%29)
.
Step-by-step explanation:
![-5x - 5y = 10](https://tex.z-dn.net/?f=-5x%20-%205y%20%3D%2010)
.
y intercept
![\to x = 0](https://tex.z-dn.net/?f=%5Cto%20x%20%3D%200)
![-5(0) - 4y = 10](https://tex.z-dn.net/?f=-5%280%29%20-%204y%20%3D%2010)
![-4y = 10](https://tex.z-dn.net/?f=-4y%20%3D%2010)
![y = \frac{10}{-4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B10%7D%7B-4%7D)
![y = -\frac{5}{2}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B5%7D%7B2%7D)
so, the answer is ![(0, ~-\frac{5}{2} )](https://tex.z-dn.net/?f=%280%2C%20~-%5Cfrac%7B5%7D%7B2%7D%20%29)
.
x intercept
![\to y = 0](https://tex.z-dn.net/?f=%5Cto%20y%20%3D%200)
![-5x - 4(0) = 10](https://tex.z-dn.net/?f=-5x%20-%204%280%29%20%3D%2010)
![-5x = 10](https://tex.z-dn.net/?f=-5x%20%3D%2010)
![x = \frac{10}{-5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B10%7D%7B-5%7D)
![x = -2](https://tex.z-dn.net/?f=x%20%3D%20-2)
so, the answer is ![(-2, ~0)](https://tex.z-dn.net/?f=%28-2%2C%20~0%29)
.
Happy to help :)
Answer:
sin(72°)=x÷20ft.
sin(72°)×20ft.= 19ft 252 inches
the ladder reach 19ft 252 inches tall on the building.
Step-by-step explanation: