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Rudiy27
2 years ago
15

Which equation represents the vertex form of the equation y=x^2-12x+38

Mathematics
1 answer:
mr_godi [17]2 years ago
6 0

Answer:

y=(x-6)^2+2 Have a nice day

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What is the area of a circle whose equation is (x-3)² + (y + 1) ² =81?
kupik [55]
Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle: 

\frac{(x-x_{1})^2}{r^2}+ \frac{(y-y_{1})_^2}{r^2}=1

Where (x_{1}, y_{1}) is the centre of the circle. In this case, we don't need to know the centre. Just the radius. 

Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81. 

\frac{(x-3)^2}{81}+ \frac{(y+1)^2}{81}=1

Great! We now know the radius of the circle. It is \sqrt{81} because it is the bottom fraction. Now we know that the radius is 9. 

So now lets input this into the area of circle formula: 

A=πr^2 

Now we insert our radius. 

A=9^2π 

=A=81π 

You can convert that into a decimal if you wish. 

Hope this helped!

~Cam943, Moderator
4 0
3 years ago
One hundred clothing stores go out of business. This will
crimeas [40]

Answer:

A increase, because less stores means more people going to the other ones, which means more money for the owners, which means if they raise the proces, people still need cloths sothey will still buy

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
You earn $102 for doing 12 hours of yard work. Your friend earns $120 working at a store for 15 hours.
krek1111 [17]

Answer:

You earn more per hour and you would get $127.50

Step-by-step explanation:

You can find how much money you get per hour by dividing! 102 divided by 12 is 8.5 and 120 divided by 15 is 8 so you get more!

3 0
2 years ago
There are 40 GT students going on a field trip. Each one pays their teacher $8.75 to cover admission to the museum and lunch. Ad
Norma-Jean [14]

Step-by-step explanation:

There are 40 DuBois students going on a field trip.

Each one pays their teacher $8.75 to cover admission to the museum and lunch.

Admission for the students is $120 and each one gets an equal amount to spend on lunch.

To Find :

How much will each DuBois student be able to spend on lunch.

Solution :

Amount they paid for admission :

\begin{gathered}P =\$ \dfrac{120}{40}\\\\P=\$3\end{gathered}P=$40120P=$3

Now, amount of money to spend on lunch is 8.75 -8.75−3 = $5.75 .

Hence, this is the required solution.

3 0
3 years ago
Find the slope of the line that passes through the two points below."<br> (7,-1) and (9,0)
Stells [14]

Answer:

1/2 or 0.5 (same value, different form)

Step-by-step explanation:

Ok...since I can't actually graph it, we can make a table out of it....

x      y

7     -1

9      0

From -1 to 0, we add 1 (this is for the y section)

From 7 to 9, we add 2 (this is for the x section)

Now all we have to do is divide the y with the x

y/x = 1/2

The slope will be 1/2 (fraction form) 0.5 (decimal form)

Hope this helped!

3 0
2 years ago
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