Answer:
Step-by-step explanation:
The center and vertex are horizontally aligned.
a = distance between center and vertex = 2
center (h,k)
asymptotes: y = ±(b/a)x + k∓(b/a)h
(x-h)²/a² - (y-k)²/b² = 1
(x+4)²/2² - (y-7)²/4² = 1
I think it’s D. 156 degrees
Answer
45
Step-by-step explanation:
23+5x=14+25x
-25x
23-20x=14
+23
-20x=9
x=.45
45miles
Answer:
The distance r is ![8.7\ cm](https://tex.z-dn.net/?f=8.7%5C%20cm)
Step-by-step explanation:
we know that
Applying the Pythagoras Theorem
![c^{2}=a^{2}+b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%3Da%5E%7B2%7D%2Bb%5E%7B2%7D)
where
c is the hypotenuse
a,b are the legs
In this problem we have
![c=15\ cm](https://tex.z-dn.net/?f=c%3D15%5C%20cm)
![a=r](https://tex.z-dn.net/?f=a%3Dr)
![b=h=12.2\ cm](https://tex.z-dn.net/?f=b%3Dh%3D12.2%5C%20cm)
substitute and solve for r
![15^{2}=r^{2}+12.2^{2}](https://tex.z-dn.net/?f=15%5E%7B2%7D%3Dr%5E%7B2%7D%2B12.2%5E%7B2%7D)
![225=r^{2}+148.84](https://tex.z-dn.net/?f=225%3Dr%5E%7B2%7D%2B148.84)
![r^{2}=225-148.84](https://tex.z-dn.net/?f=r%5E%7B2%7D%3D225-148.84)
![r^{2}=76.16](https://tex.z-dn.net/?f=r%5E%7B2%7D%3D76.16)
![r=8.7\ cm](https://tex.z-dn.net/?f=r%3D8.7%5C%20cm)
First, we have two points and we need to use these points to find the slope. To do this, let's label one point x1 and y1, the other point x2 and y2 then,
Slope = (y2 - y1) / (x2 - x1)
(2, 3) - 2 is x1 and 3 is y1
(-1, -12) -1 is x2 and -12 is y2
Slope = (-12 - 3) / ( -1 - 2) = -15 / -3 = 5
Now the equation of our line is: y = 5x + b
Let's plug one of our points into this equation to solve for b.
3 = 5(2) + b
3 = 10 + b
Subtract 10 from both sides.
-7 = b
The equation of our line is: y = 5x - 7