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1 year ago

What is the equation of the parabola?

Mathematics

1 answer:

irina1246 [14]1 year ago

3 0

Because the parabola opens down and the vertex is at (0, 5), we conclude that the correct option is:

y = -(1/8)*x² + 5.

<h3>Which is the equation of the parabola?</h3>

The relevant information is that we have the vertex at (0, 5), and that the parabola opens downwards.

Remember that the parabola only opens downwards if the leading coefficient is negative. Then we can discard the two middle options.

Now, because the parabola has the point (0, 5), we know that when we evaluate the parabola in x = 0, we should get y = 5.

Then the constant term must be 5.

So the correct option is the first one:

y = -(1/8)*x² + 5.

If you want to learn more about parabolas:

brainly.com/question/4061870

#SPJ1

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What is the factored form of the expression?<br><br> d^2 = 36d + 324

Veseljchak [2.6K]

Answer:

$(x-43.45)(x+7.45)=0$

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be $(x-43.45)(x+7.45)=0$

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=4%20%5Cfrac%7B1%7D%7B9%7D%20%20%2B%201%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title="4 \

tino4ka555 [31]

Step-by-step explanation:

$\tt{ 1. \: \: 4 \frac{1}{9} + 1 \frac{1}{2}}$

⇢ $\tt{ \frac{37}{9} + \frac{3}{2} }$

⇢ $\tt{ \frac{37 \times 2 + 3 \times 9}{18} }$

⇢ $\tt{ \frac{74 + 27}{18} }$

⇢ $\tt{ \frac{101}{18}}$

⇢ $\boxed{ \tt{5 \frac{11}{18}} }$

---------------------------------------------------------

$\tt{ \: 2. \: \: 4 \frac{1}{2} \div \frac{3}{5}}$

⇢ $\tt{ \frac{9}{2} \times \frac{5}{3}}$

⇢ $\tt{ \frac{9 \times 5}{2 \times 3}}$

⇢ $\tt{ \frac{45}{6}}$

⇢ $\boxed{ \tt{7 \frac{3}{6}} }$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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6 0

2 years ago

Find FG<br> FGH= 49<br> GH=31

Luba_88 [7]

Answer:

Step-by-step explanation:

From the given diagram;

FGH = 49

GH = 31

Using the expression to get FG;

FG + GH = FGH

FG + 31 = 49

FG = 49-31

FG = 18

Hence the measure of FG is 18

4 0

2 years ago

A train brakes from 40 m/s to a stop in 5 sec. What is the acceleration of the train?

Basile [38]

Answer:

To find the acceleration we have its formula as

v-u/t where v is final velocity, u is initial velocity and t is time

So substituting the values,

0-40/5 m/s²

-40/5 = -8 m/s²

Thus the acceleration is -8m/s²

pls give brainliest for the answer

6 0

3 years ago

Ram sold a goat for Rs. 4500 at a profit of 20%. what will be the purchased price?

Anna [14]

Answer:

4500x20

Step-by-step explanation:

It will give you your answer

7 0

2 years ago