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77julia77 [94]
3 years ago
5

Write the standard equation for the circle 30. Center (2,7), r=4. 31. Center (-6,-8), that passes treough (0,0)

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0
The standard equation of the circle is:

(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...

so

30.

(x-2)^2+(y-7)^2=16

31.

We need to find the radius...(I'll just use the Pythagorean Theorem)

r^2=6^2+8^2

r^2=36+64

r^2=100  (so the radius is 10) and its center is (-6,-8) so

(x+6)^2+(y+8)^2=100
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Subtract. Express your answer in simplest form. 5/8−1/6 =
bazaltina [42]

Answer:

0.45833..... OR \frac{11}{24}

Step-by-step explanation:

The common denominator is 24.

You get: \frac{15}{24} and \frac{4}{24}

Subtracting you get: \frac{11}{24}

<em>Hope this helps!!</em>

4 0
3 years ago
Solve each quadratic equation. Show your work. 14. (2x – 1)(x + 7) = 0 15. x2 + 3x = 10 16. 4x2 = 100
andreyandreev [35.5K]
14.  (2x - 1)(x + 7) = 0

Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0.  We can set each term equal to 0 to find the solutions:

2x - 1 = 0
2x = 1
x = 1/2

x + 7 = 0
x = -7

15.  x^{2} +3x=10

To solve this equation, you first need to set it equal to 0:

x^{2} +3x=10 \\ x^{2} +3x-10 = 0

Next, it can be factored:

x^{2} +3x-10 = 0 \\ (x+5)(x-2)=0

Finally, we can solve just like we did above:

x + 5 = 0
x = -5

x - 2 = 0
x = 2

16.  4x^2=100

First, you can simplify by dividing each side by 4:

4x^2=100 \\ x^2=25

Now, set the equation equal to 0:

x^2=25 \\ x^2-25=0

Next, factor:

x^2-25=0 \\ (x+5)(x-5)=0

Finally, find the solutions:

x + 5 = 0
x = -5

x - 5 = 0
x = 5
6 0
3 years ago
A service club is selling raffle tickets for 2.50 each to raise money for a charity. Vanessa has 34.75 to spend on raffle ticket
posledela

Answer:

13 Raffle tickets

Step-by-step explanation:

Cost for one riffle ticket = 2.50

Total money of Vanessa budgeted for riffle ticket : 34.75

Greatest number of riffle ticket, venessa can with with 34.75

I'll like us to divide 34.75 by 2.5 to get the exact value.

Therefore,

34.75 / 2.5

= 13.9

It therefore implies that, Vanessa will buy a maximum of 13 riffle tickets and still have a change of 2.25

4 0
3 years ago
A washer and a dryer cost $790 combined. The washer costs $40 more than the dryer. What is the cost of the dryer?
Pepsi [2]

if the washer and dryer cost $790 then you would divide 790 by 2.

then you will get $395

then you add 40 to $395 and will get $435

so the answer is $435

7 0
3 years ago
Will give brainliest to first answer
fiasKO [112]

Answer:

the answer is 1500

Step-by-step explanation:

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5 0
3 years ago
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