Answer multiplying or dividing by a power of 10 will move the decimal point equal to the number of 0s
Step-by-step explanation:
Answer:
center: (0,0)
vertices: (-4,0) and (4,0)
foci: (-10.8,0) and (10.8,0)
asymptotes: y = -5/2*x and y = 5/2*x
Step-by-step explanation:
Hyperbola with center as origin general equation is:
x²/a² - y²/b² = 1
Our equation is:
25x² - 4y² = 400
Dividing each term by 400:
25x²/400 - 4y²/400 = 400/400
x²/16 - y²/100 = 1
which matches the general equation. Then, the center is (0,0)
a² = 16
a = 4
b² = 100
b = 10
c² = a² + b²
c = √(16+100) = 10.8
General vertices formula: (±a,0). Replacing, the vertices are: (-4,0) and (4,0)
General foci formula: (±c,0). Replacing, the foci are: (-10.8,0) and (10.8,0)
General asymptotes formula: y = ±b/a*x. Replacing, the asymptotes are:
y = -10/4*x = -5/2*x
y = 10/4*x = 5/2*x
Answer:
13
Step-by-step explanation:
The mean of the data is also known as the average. To find the mean/average, add up all the data and divide it by the number of inputs recorded.
9 + 16 + 13 + 14 + 10 + 16 + 17 + 9 = 104
There are 8 terms.
104 / 8 = 13
The mean is 13.
Hope this helps!
Answer:
80.5°
Step-by-step explanation:
Every triangle is measured to be 180°. Subtract X which is 19 from 180
180-19=161
Because V and W are congruent, they are the same length. So you divide 161 by w to get 80.5
Answer:
y=x+1
Step-by-step explanation:
m is the slope, and the slope is 1. b is the y-intercept, which is 1.
