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3 years ago

-36y=x^2 The directrix of the parabola is:

1 answer:

6 0

Here, the equation of parabola is: (-36y)=x^2
The standard form of parabola is:

(X-h)^2=4p(y-k).
According to given equation, vertex = (0,0) and p = -9
This a vertical parabola opening down, because p = -9 here.
Therefore ditectrix will be y= -9

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The side length of a square patio is 2.59 meters. Which is the best estimate for the perimeter of the patio, in meters?

Alex787 [66]

Hey there! I'm happy to help!

The perimeter is all of the sides of a shape added up.

Since all of the sides on a square are the same and we know one side, we just multiply it by four.

2.59(4)=10.36

Therefore, the patio is about 10.56 meters.

I hope that this helps! :D

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3 years ago

Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed?

kykrilka [37]

we will select each options and find zeros

(a)

$g(x)=x^2-4x-21$

for finding x-intercept , we can set g(x)=0

and then we can solve for x

$g(x)=x^2-4x-21=0$

now, we can factor it

$(x-7)(x+3)=0$

we get

$x=7,x=-3$

so, this is TRUE

(b)

$g(x)=(x-3)(x+7)$

we can set it to 0

and then we can solve for x

$g(x)=(x-3)(x+7)=0$

we get

$x=3,x=-7$

so, this is FALSE

(c)

$g(x)=3x^2-12x-63$

we can set it to 0

and then we can solve for x

$g(x)=3x^2-12x-63 =0$

$3(x^2-4x-21) =0$

$3(x-7)(x+3) =0$

$x=-3,x=7$

so, this is TRUE

(d)

$g(x)=-(x+3)(x-7)$

now, we can set it to 0

and then we can solve for x

$g(x)=-(x+3)(x-7)=0$

$x=-3,x=7$

so, this is TRUE

(e)

we have

$g(x)=x^2+4x-21$

now, we can set it to 0

and then we can solve for x

$g(x)=x^2+4x-21=0$

$(x+7)(x-3)=0$

$x=-7,x=3$

so, this is FALSE

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3 years ago

Read 2 more answers

What is the volume of the cylinder?

Elenna [48]

Answer:

Option D. $882\pi\ units^{3}$

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

$V=\pi r^{2}h$

In this problem we have

$r=7\ units$

$h=18\ units$

substitute

$V=\pi (7^{2})(18)=882\pi\ units^{3}$ -----> exact value of the volume

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4 years ago

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Answer:

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What is the sum of all odd integers between 8 and 26

Andru [333]

Odd integers between 8 and 26
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3 years ago

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