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Dahasolnce [82]
3 years ago
5

The vertex form of the equation of a parabola is y = 2(x + 3)2 - 5.

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0
Y = 2(x+3)² - 5

(x+3)² = x(x+3) + 3(x+3) ⇒ x² + 3x + 3x + 9 = x² + 6x + 9

y = 2(x² + 6x + 9) - 5
y = 2x² + 12x + 18 - 5
y = 2x² + 12x + 13  This is the standard form of the equation. Choice D.

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A cab company charges $4 per cab ride, plus an additional $3 per mile driven. How long is a cab ride that costs $22?​
Doss [256]

Answer:

6 miles

Step-by-step explanation:

Flat fee is $4

Per mile is $3

Equation :

4 + 3m = 22

subtract 4 from both sides

3m = 18

divide each side by 3

m = 6

The ride is 6 miles.

If my answer is incorrect, pls correct me!

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-Chetan K

8 0
3 years ago
Circle O has a circumference of 36tt cm. what is length of the radius r
allochka39001 [22]

Answer:

5.73cm

Step-by-step explanation:

Given parameters:

Circumference of the circle = 36cm

Unknown

Length of the radius = ?

Lets represent the radius by r

Solution

The circumference of a circle is the defined as the perimeter of a circle. The formula is given as:

            Circumference of a circle = 2πr

Since the unknown is r, we make it the subject of the formula:

           r = \frac{circumference of the circle}{2π}

          r = \frac{36}{2 x 3.142} = \frac{36}{6.284} = 5.73cm

3 0
3 years ago
Read 2 more answers
2. Find the surface area of a cylindrical can of tennis balls if the height of the can is 8
alina1380 [7]

Answer:

125.7 square inches

Step-by-step explanation:

The surface area of a cylinder is the sum of the areas of the two circles on each end and the area encircling "rectangle". Note that the length of this "rectangle" is the height of the can, while the width is the perimeter of the circle. The full equation is:

A=2 \pi r^2 +2 \pi r h\\A=2 \pi r(r+h)\\A=2 \pi (2)(2+8)\\A=40 \pi\\A=125.7

7 0
3 years ago
Read 2 more answers
The Smith family was one of the first to come to the U.S. They had 5 children. Assuming that the probability of a child being a
anastassius [24]

Answer:

children

Step-by-step explanation:

5 0
3 years ago
HELP PLEASE
Hoochie [10]
If you had values instead of algebraic expressions, you would find the area of the patio and subtract that from the area of the yard. Even though you don't have values, you can still find the area and subtract by expanding and simplifying:
(8x + 2)(6x + 3)
8x × 6x = 48x²
8x × 3 = 24x
2 × 6x = 12x
2 × 3 = 6
So you get 48x² + 36x + 6 as your area of the yard

(x + 5)(3x + 1)
x × 3x = 3x²
x × 1 = x
5 × 3x = 15x
5 × 1 = 5
So the area of the patio is 3x² + 16x + 5

(48x² + 36x + 6) - (3x² + 16x + 5)
48x² - 3x² = 45x²
36x - 16x = 20x
6 - 5 = 1

So your answer is D. 45x² + 20x + 1. I hope this helps!

6 0
3 years ago
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