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alexira [117]
3 years ago
7

Write the standard form of the equation of the circle with radius 7 and center (4,−9).

Mathematics
1 answer:
Troyanec [42]3 years ago
7 0

Answer:

x^2 + y^2 - 8x + 18y + 48 = 0

Step-by-step explanation:

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the centre of circle and r is the radius of circle. hence the standard form of equation can be obtained by expanding

(x-4)^2 + {y-(-9)}^2 = 7^2

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if a student took a test three times and got 90 all three times, what is the score needed to bring down the average to 88​
denis23 [38]

Answer:

83

Step-by-step explanation:

So there us 4 tests 3 of them are 90 to bring down the average to 88 you need to get a low mark. To get to that mark you plus all the 90s together and you add 82 then divide by 400 and times by 100 and that's how to get the answer

7 0
3 years ago
Please answer i added extra points
r-ruslan [8.4K]

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8 0
3 years ago
A clothing truck is shaped like a rectangular prism. The volume of the truck 15 ft cubed. The area of the base of the container
Ghella [55]

Answer: 2.5 ft

Step-by-step explanation:

The volume of a rectangular prism is given by the following formula:

V=(l)(w)(h) (1)

Where:

l is the length of the base

w is the width of the base

h is the height of the prism

On the other hand, tha area of a rectangle is:

A=(l)(w) (2)

Then, we can rewrite (1) in terms of (2):

V=(A)(h) (3)

Now, we know the value of the volume and the area of the base:

V=15ft^{3}

A=6ft^{2}

Substituting these values in (3):

15ft^{3}=(6ft^{2})(h) (4)

Isolating h:

h=2.5 ft This is the height of the truck

8 0
3 years ago
HELP!<br><br> Simplify. Give your answer in radical form.
velikii [3]

Answer:

  10i\sqrt{5}

Step-by-step explanation:

2\sqrt{-125}=2\sqrt{(-1)(5^2)(5)}=2i\cdot 5\sqrt{5}=10i\sqrt{5}

5 0
3 years ago
One side of a triangle is twice as long as a second side. The third
natta225 [31]

Answer:

The longest possible values of the other two sides are 7 ft  and 14 ft

Step-by-step explanation:

Let one side of the triangle be x and the other, 2x

Perimeter of a triangle = sum of all sides; i.e x+2x+33

Therefore, x+2x+12=33

Solve for x;

3x=33-12

3x=21

Divide both sides by 3; x=21/3

therefore, x=7 and

2x= (2*7) = 14

The longest possible values of the other two sides are 7 ft  and 14 ft

6 0
4 years ago
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