PLS HELP

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

I will mark brainliest just answer right and fast pls<br>attached link

musickatia [10]

Answer:

9,0

Why?

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

6 0

3 years ago

A plant has an initial height of 2 inches and grows at a constant rate of 2 inches each month. A second plant that also grows at

Alik [6]

Answer:

Answer:4.8 monthsStep-by-step explanation:First, let's write down the information that we are given.Plant A: Initial Height: 3 in.Constant Rate of Growth (CRG): 2in/month (2 inches per month)Plant B:Initial Height: 1 in.CRG: 29in/year (29 inches per year)We can see that Plant B grows 29 inches per year, so lets convert Plant B's 'CGR' to months.Plant B - Divide by 12 (12 months in a year)29/12 in/yearNow, Lets put these into equations:Plant A: y = 2x + 3Plant B: y = 29/12 x + 1Now, set these two equations together and solve for x.2x + 3 = 29/12 x + 12 = 5/12 x4.8So, after 4.8 months, the plants will be the same height.

hope it helps you

6 0

3 years ago

Factor each completely <br> 5n^2-8n-21<br> 6r^2+53r-79<br> 4n^2-25

OLEGan [10]

5n² - 8n - 21 → (5)(- 21) = -105 (find 2 numbers whose product is 105 and sum is -8)

= 5n² - 15n + 7n - 21

= 5n(n - 3) + 7(n - 3)

= (5n + 7)(n - 3)

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6n² + 53n - 79 → (6)( -79) = -474 (find 2 numbers whose product is -474 and sum is 53) DOES NOT EXIST! only factors are: (1, 474) (2, 237) (3, 158) (6, 79)

= Prime

*******************************************************

4n² - 25 (this is the difference of two squares)

= √(4n²) +/- √(25)

= 2n +/- 5

= (2n + 5)(2n - 5)

3 0

4 years ago

Read 2 more answers

Twice a number less than three is 23.Find the number.

Nataly_w [17]

Answer:

11

Step-by-step explanation:

C²=23

2C=0

C=2

Substitute C=2 in the first equation 2C=23

2C=23

C=11.5

Approximately C=11

3 0

3 years ago