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NeX [460]
3 years ago
10

What is the radius of the circle with this equation of (x-5)2+(y+7)2=8

Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

2√2

Step-by-step explanation:

compare this equation with the standard equation of a circle centered at (h, k) with radius r:

(x - h)^2 + (y - k)^2 = r^2

(x - 5)^2 + (y + 7)^2=8

Clearly, r^2 = (radius)^2 = 8, and so the radius, r, is √8, or 2√2

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6 days

Step-by-step explanation:

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2 years ago
How do you find the area of a right triangle if you only have the base
valentina_108 [34]

Step-by-step explanation:

You can find the area of a right triangle the same as you would any other triangle by using the following formula:

A = (1/2)bh, where A is the area of the triangle, b is the length of the base and h is the height of the triangle; However, with a right triangle, it's much more convenient in finding its area if we utilize the lengths of the two legs (the two sides that are shorter than the longest side, the hypotenuse and that are perpendicular to each other and thus form the right angle of the right triangle), that is, since the two legs of a right triangle are perpendicular to each other, when we treat one leg as the base, then, consequently, we can automatically treat the length of the other leg as the height, and if we initially know the lengths of both legs, then we can then just plug this information directly into the area formula for a triangle to find the area A of the right triangle.

For example: Find the area of a right triangle whose legs have lengths of 3 in. and 4 in.

Make the 4 in. leg the base. Since the two legs of a right triangle are perpendicular to each other, then the length of the other leg is automatically the height of the triangle; therefore, plugging this information into the formula for the area of a triangle, we have:

A = (1/2)bh

= (1/2)(4 in.)(3 in.)

= (1/2)(12 in.²)

A = 6 in.² (note: in.² means square inches)

8 0
3 years ago
Im even worse at this
stira [4]

The first sentence is irrelevant information, you can ignore that!

There are 20 players. Each player paid the <em>same amount. </em>

In total, they payed $500,000.

We need x, the amount a single player pays. x times 20 will give us 500,000. This gives us the equation 20x=500,000

Divide both sides by 20 to isolate the variable.

x=25,000

3 0
2 years ago
Read 2 more answers
Find the positive value of x in the geometric sequence 7x-2,4x+4,3x
Goryan [66]
Hello,


Let's assume k the ratio.

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\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\





5 0
2 years ago
Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)
olasank [31]

Answer:

x = 15 \:  \:  .....(5(15)- 14) = 61

(9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x =  \frac{60}{4}  \\ x = 15

6 0
2 years ago
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