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3 years ago

What is the value of x?

Mathematics

1 answer:

Ratling [72]3 years ago

6 0

11/36. You need to make both denominators the same

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PLEASE HELP! Find the height of a cylinder with a surface area of 108 pi square meters. The radius of the cylinder is twice the

Naily [24]

Assuming the cylinder is closed at both ends
Surface area = 2 pi r^2 + 2 pi r h = 108

now h = r/2 so we have:-

2pi r^2 + pi r^2= 108

3 pi r^2 = 108
r^2 = 11.459
r = 3.385
so the height h = 1.693 m to nearest thousandth

7 0

3 years ago

This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

$f(x)=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

$f(x)=a(x-2)^2-8$

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

$0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2$

therefore

The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

$f(x)=a(x-0)(x-4)$

$f(x)=ax(x-4)$

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

$-8=a(2)(2-4)\\-8=-4a\\a=2$

therefore

The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

4 0

4 years ago

X- 12 = 5x2 in standard form

Rudik [331]

Answer:

It is: -5x^2 + x - 12 = 0

Step-by-step explanation:

4 0

3 years ago

Which mode of transportation did you choose? Why?

faust18 [17]

Answer:

land

Step-by-step explanation:

because,bus are more comfortable and easier other transportation are dangerous than land transportation ❤️

hope i helped u

8 0

3 years ago

I really need help on this question!!!

Effectus [21]

A combination in this question, is combining 2 activities out of the 3.

The possible combinations are:

Parade and Roller Coaster.
Parade and Eat Ice Cream Cones.

Roller Coaster and Eat Ice Cream Cones.

If you need the opposite order:

Roller Coaster and Roller Coaster.
Roller Coaster and Eat Ice Cream Cones.
Eat Ice Cream Cones and Roller Coaster.

Hope This Helped! Good Luck!

6 0

4 years ago