1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikitadnepr [17]
3 years ago
15

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

uation of this parabola in standard form.
x= ( )^2 + ___
Mathematics
1 answer:
mario62 [17]3 years ago
4 0

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

You might be interested in
A ball is thrown downward from the top of a 150-foot building with an initial velocity of 23 feet per second. The height of the
ch4aika [34]

Answer:

362 the answer

Step-by-step explanation:

follow nmn i hope its help

7 0
3 years ago
Solve for the formula for the indicated variable. Solve A=1/2bh for b.
choli [55]
B = 2A/h

The way you would get this is first by clearing the fraction. So in order to clear the fraction, you have to multiply the equation by the denominator.

2(A = 1/2bh)

2A = 1bh

2A = bh

Then you have to isolate the variable. So you'd divide bh by h in order to get b by itself. So you'd end up with:

2A/h = bh/h

2A/h = b
5 0
3 years ago
David is performing the following construction. Based on the markings that are present, what construction is he performing?
lora16 [44]

Answer:

He is bisecting the angle BAC.

Step-by-step explanation:

First he puts the compass point at point A and draws 2 small arcs at D and E.  Then he places the compass point at D and then at E to form the 2 arcs that cross between the  2 line segments AB and AC.

The bisector is the line he can draw between A and the crossed arcs.

8 0
3 years ago
Read 2 more answers
The price of a four star meal, only $100 per couple decades ago, has since increased 200%. What is the current price?
Juli2301 [7.4K]
Well if the price was $100 per couple and increased by 200% then it increased by 2 times the original price. So that means the price doubled so multiply. $100 by 2 which equals $200. So the current price is now $200.
6 0
3 years ago
A distribution of values is normal with a mean of 1986.1 and a standard deviation of 27.2.
m_a_m_a [10]

Answer:

I used the function normCdf(lower bound, upper bound, mean, standard deviation) on the graphing calculator to solve this.

  • Lower bound = 1914.8
  • Upper bound = 999999
  • Mean = 1986.1
  • Standard deviation = 27.2

Input in these values and it will result in:

normCdf(1914.8,9999999,1986.1,27.2) = 0.995621

So the probability that the value is greater than 1914.8 is about 99.5621%

<u><em>I'm not sure if this is correct </em></u><em>0_o</em>

4 0
2 years ago
Other questions:
  • If the temperature of gas increases , the volume of that gas __________.
    14·2 answers
  • find the common ratio r for the geometric sequence and use r to find the next three terms 5,15,45,135
    11·1 answer
  • Solve the following dividend problem
    8·1 answer
  • If x=-3 is (x-5)(x-7)&lt;0?​
    13·1 answer
  • What is the value of the expression 8.3 × 104 − 2.5 × 103 − 1.9 × 104 written in scientific notation?
    12·2 answers
  • Explain what i did in a detailed answer.
    7·1 answer
  • Help I need help on 4 help me as soon as possible and show me the equation
    6·1 answer
  • FOR THE PEOPLE WHO DO RSM:<br> you cant highlight the questions anymore so-
    8·2 answers
  • Write an expression fod the phrase 6 plus the quotient of 15 and 3. Draw a picture to help, if needed. Show your work​
    7·1 answer
  • Given: 3c + d = f + g, d = f, g = c + 8; Prove: c = 4
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!