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worty [1.4K]
3 years ago
15

A certain quadratic function has x-intercepts at 2 and 3. What are the x-coordinates of its vertex?

Mathematics
1 answer:
Alik [6]3 years ago
6 0
<h3>Answer:  D) 5/2</h3>

==================================================

Explanation:

The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.

Find the midpoint of 2 and 3 to get (2+3)/2 = 5/2

Note: 5/2 = 2.5

You might be interested in
what is the surface area of a rectangular prism with a hight of seven, length of eleven and a side length of six?​
Naddika [18.5K]

Answer:

The answer is 462!!

Step-by-step explanation:

Multiply 7 x 11 x 6 and you will get your answer!!!

8 0
3 years ago
Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to
Anettt [7]

Answer:

correct option is 2187

Total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by 2\pi rl

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12

Thus,  lateral surface area for given cylinder is  1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle \pi r^2

area \ of  \base = \pi r^2 = 3.14*12^2\\=>area \ of  \base =  3.14*144 = 452.16

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

                                      = 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

                  = 2,185.44  square inches.

Thus, total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

but option which is closest to calculated value is  2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = 2\pi r^2 + 2\pi rl

5 0
2 years ago
What is the product of the polynomials below? (6x^2-3x-6)(4x^2+5x+4)​
Lunna [17]

Answer:

(6 - 5x(2))(x(4) - x(3))

(6 - 5x^2) (x^4 - x^3)

6x^4 - 6x^3 - 5x^6 + 5x^5

-5x^6 + 5x^5 + 6x^4 - 6x^3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve the multi step equation
sesenic [268]
Use photmath app it will help you out:)
7 0
3 years ago
PLEASE HELP, I don’t know how to do this...like at all
Svet_ta [14]

Answer:

arc ? = 255°

Step-by-step explanation:

arc DB = 180° - 75° = 105°

arc ? = 360° - 105° = 255°

6 0
2 years ago
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