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
So if f(-3), then x = -3.
Substitute.
y = -(-3)^2 + 6
= -(9) + 6
= -3
Hope it helped
Answer:
Yes and no, there are many different ways to put it ;)
Answer:
For question 6 there are 3 steps, and for question 7 there are 2 steps
Step-by-step explanation:
Question 6:
step 1. 89 x 2=178
step 2. 89 x 3=267
step 3. 267 + 178=445
Question 7:
step 1. 35 x 3= 105
step 2. 25 x 5= 12
Your're welcome :)
The area of the rectangle is the product of its base and height
The height of the rectangle is 4x - 2 units
<h3>How to determine the height?</h3>
The given parameters are:
Area = 4x^2 - 2x
Base = x
The area of the rectangle is:
Area = Base * Height
This gives
4x^2 - 2x = x * Height
Divide through by x
4x - 2 = Height
Rewrite as:
Height = 4x - 2
Hence, the height of the rectangle is 4x - 2 units
Read more about areas at:
brainly.com/question/24487155