Answer:
Step-by-step explanation:
The foci are horizontally aligned.
horizontal ellipse:
(x-h)²/a² + (y-k)²/b² = 1
center (h,k)
vertices (h±a,k)
length of minor axis = 2b
foci (h±c,k), c² = a²-b²
Apply your data and solve for h, k, a, and b.
foci (±3√19, 6)
h = 0
k = 6
Length of minor axis = 2b = 10
b = 5
foci (h±3√19, 6)
c = 3√19
c³ = a² - b²
171 = a² - 25
a² = 196
x²/196 + (y-6)²/25 = 1
Answer:
Average speed is distance/time. You could say, 12/6 = 2 miles per second and say that’s the answer, but we relate to mph so much better. Since there are 60 x 60 = 3600 sec in an hour, that same speed is:
2 x 3600 = 7,200 mph
No “car” can travel this fast. Some rocket cars have gone about 1/10th this speed.
Answer:
A. 0.7 x 80
Step-by-step explanation:
At the beginning of the month, there is 100% remaining of the peanut butter. 100% = 80 oz. After eating 30%, that's 100%-30%=70%. 70%=0.7
Answer:

Step-by-step explanation:
We are given the function:

We want to find f(3), so we must substitute 3 in for x.

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Solve the exponent first.

Multiply 8 and 3.

Add.

For the function given, f(3) is 30.
step 1
find the equation of the line
where
x-------> numbers of light bulbs
y-------> the total cost in $
let
A (0,0) B (10,18)
slope m=18/10-----> m=1.8
step 2
with m=1.8 and the point A (0,0)
y-y1=m*(x-x1)------> y=1.8x
step 3
for x=1
y=1.8*1------> y=$1.8
therefore
the answer is
the cost of a single light bulb is $1.8