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Alona [7]
2 years ago
11

PLEASEE HELP HURRYYYYYY PLEASE

Mathematics
1 answer:
olga2289 [7]2 years ago
5 0

Answer:

12.5

Step-by-step explanation:

We can use ratios to solve

4        4+6

---- = ----------

5         AC

4        10

---- = ----------

5         AC

Using cross products

4 * AC = 5*10

4AC = 50

Divide by 4

AC = 50/4

AC =12.5

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Show all your work to find the axis of symmetry of f(x) = −2(x − 4)^2 + 2.
Naya [18.7K]

Answer:

-2(x^2+15)

Step-by-step explanation:

f(x) = −2(x − 4)^2 + 2.

Expanding (x-4)^2

(x-4)(x+4)

x(x+4)-4(x+4)

x^2+4x-4x-16

x^2-16

F(x) = -2(x^2-16)+2

-2x^2-32+2

-2x^2-30

-2(x^2+15)

6 0
3 years ago
A cylinder and a cone have the same radius and height. The volume of the cylinder is 639 ft ^3. what is the volume of the cone?
AURORKA [14]

The volume of the cone is: A. 213 ft³.

<h3>Volume of a Cylinder and a Cone</h3>
  • Volume of cylinder = πr²h.
  • Volume of cone = ⅓πr²h.

Given:

radius and height of both the cylinder and the cone are equal.

Volume of Cylinder = 639 ft³

Therefore:

πr²h = ⅓πr²h

This means that volume of cone would be ⅓ of the volume of the cylinder.

Volume of cone = ⅓(639) = 213 ft³

Therefore, the volume of the cone is: A. 213 ft³.

Learn more about volume of cone on:

brainly.com/question/13677400

7 0
2 years ago
The value of b when solving the equation 2 (6 + 12) = 16 is:
elena-s [515]

Answer:

Step-by-step explanation:

2(6+12)=16

2 X 6 +  2  X  12

12     +     24

       26  =  16

HOPE U GE5T IT

8 0
3 years ago
A candle has been burning for 20 min and is now 25 cm tall. In an hour it will be 10 cm tall. Which equation models the height y
stiv31 [10]

Answer:

(y - 25) = - 0.25(x - 20)

Step-by-step explanation:

Given that :

Height of candle after burning for 20 minutes = 25 cm

Height after burning for 1 hr (60 minutes) = 10 cm

Height (y) in cm of candle x minutes after being lit:

Using the equation :

(y - y1) = m(x - x1)

m = (change in y / change in x)

Change in height within 60 minutes :

Height at 20 minutes = 25cm

Height after an hour = 10

Change in height per hour = (25 - 10) = 15cm

Hence, m = change in height per minute

15cm / 60 = 0.25cm ( - 0.25) (decrease in height)

y1 = 25 ; x1 = 20

(y - y1) = m(x - x1)

(y - 25) = - 0.25(x - 20)

4 0
2 years ago
Casey buys a bracelet. She pays for the bracelet and pays \$0.72$0.72dollar sign, 0, point, 72 in sales tax. The sales tax rate
Ipatiy [6.2K]

Answer: 0.06p = 0.72

p = 12

Step-by-step explanation:

The original price was $12.

7 0
3 years ago
Read 2 more answers
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