Please help! Best answer will get brainliest!

The equation y^2+8y−x+18=0 represents a parabola. Drag and drop the expressions into the boxes in the equation to rewrite the eq

mario62 [17]

Answer:

The equation of parabola is standard form is $x=\left(y+4\right)^2+2$

Step-by-step explanation:

Given equation of parabola is,

$y^2+8y-x+18=0$

In order to find the equation of parabola in standard form, eliminate x from left side of equation and use completing square method to find the equation.

First step is to add x on both side of equation.

$y^2+8y-x+18+x=0+x$

$y^2+8y+18=x$

Rewriting,

$x=y^2+8y+18$

Now applying completing square method as follows.

Following are the steps for calculation of this method.

Find the last term of above equation by using below formula,

$Last\:term\:of\:square=\left(\dfrac{coefficient\:of\:y}{2}\right)^{2}$

Now coefficient of y is 8.

$\therefore Last\:term\:of\:square=\left(\dfrac{8}{2}\right)^{2}$

Simplifying,

$Last\:term\:of\:square=\left(4\right)^{2}$

$Last\:term\:of\:square=16$

Second step is to add and subtract the last term.

$x=y^2+8y+18+16-16$

Rewriting,

$x=y^2+8y+16+18-16$

Since $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$

Using above formula,

$x=\left(y+4\right)^{2}+2$

Therefore, the equation of parabola in standard form is $x=\left(y+4\right)^{2}+2$

4 0

3 years ago

About 42% of a paint mix is white. A painter orders 18 gallons of paint mix. How much of it is white

Ganezh [65]

Answer:

7.56 liters

Step-by-step explanation:

Total amount of paint mix ordered by the painter = 18 gallons

42% of the paint mix is white.

Representing this as a fraction, $\[\frac{42}{100}\]
$ of total paint mix is white.

To find the amount of white paint, we need to multiply this fraction with the total amount of paint mix.

$\[= \frac{42}{100} * 18\]
$

$\[= \frac{756}{100}\]
$

$7.56 liters$

8 0

3 years ago

The chart below shows how many newspapers each person stacked.

Phantasy [73]

Answer:

Sharon would need to subtract

Step-by-step explanation:

<u>Difference</u> is a keyword to subtraction

More Subtraction keywords:

Subtract.

Minus.

Take away.

Less / Fewer than.

Difference.

Decrease.

How many are left/remain?

Change – in money questions.

5 0

3 years ago

A boardwalk game of chance costs $1 to play. You have a 25% chance of winning $1 back, a 20% chance of winning $2

Law Incorporation [45]

Answer:

the answer is c

Step-by-step explanation:

7 0

2 years ago

Use the interactive protractor to determine the measure of the angle. what is manglejhg? 70° 75° 110° 115°

DanielleElmas [232]

Using the interactive protractor, the measure of the angle JHG is 115°

<h3>How to determine the measure of the angle?</h3>

The image that completes the question is added as an attachment.

The question requests that we determine the measure of JHG using a protractor.

To do this, we set one end of the protractor at 0°.

Then, we take the measurement of the other end

Using the interactive protractor, the other end stops at 115°

Hence, the measure of the angle JHG is 115°