The equation would be ' y = 1/2x'
The photo of my working will be attached.
Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .
Step-by-step explanation:
Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.
Answer: D. 94.25 in²
Step-by-step explanation:
To find the total area, we will break the shape up into two different parts.
[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.
Area of a circle:
A = πr²
Use 3.14 for pi:
A = (3.14)r²
Find the radius:
d / 2 = r, 10 / 2 = 5 in
Subsittue:
A = (3.14)(5)²
A = 78.5 in²
Divide by 2 since it is only half:
78.5 in² / 2 = 39.25 in²
[] The triangle is 55 in².
Area of a triangle:
A = b*h/2
A = 11 * 10 / 2
A = 110 / 2
A = 55 in²
[] Total area. We will add the two parts together.
55 in² + 39.25 in² = 94.25 in²
Answer:
![- (x - 1) {}^{2} + 5](https://tex.z-dn.net/?f=%20-%20%28x%20-%201%29%20%7B%7D%5E%7B2%7D%20%20%2B%205)
Step-by-step explanation:
F(x) is a transformation from h(x).
So our starting equation is
![- (x - 1) {}^{2} - 1](https://tex.z-dn.net/?f=%20-%20%28x%20-%201%29%20%7B%7D%5E%7B2%7D%20%20-%201)
F(x) is also facing the same direction h(x) is so we dont have to reflect nothing across the x or y axis.
There isn't a vertical or horizontal stretch, compressions.
There isn't a horizontal shift as the x values stay in the same place.
There is a vertical shift. We can simply move h(x) up 6 units to get to f(x).
So our equation looks like.
![- (x - 1) {}^{2} + 5](https://tex.z-dn.net/?f=%20-%20%28x%20-%201%29%20%7B%7D%5E%7B2%7D%20%20%2B%205)