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mash [69]
3 years ago
10

What is the equation of the circle with a diameter of 6 units and a center located at (2, −5) on the coordinate plane? a A b B c

C d D
Mathematics
1 answer:
Nastasia [14]3 years ago
6 0

Answer:

(x-2)^2+(y+5)^2=36

Step-by-step explanation:

Recall that the equation of a circle of radius R centered at (x_0,y_0) is given by:

(x-x_0)^2+(y-y_0)^2=R^2

For your particular case: R = 6, x_0 = 2, and y_0 = -5, therefore the equation becomes:

(x-x_0)^2+(y-y_0)^2=R^2\\(x-2)^2+(y-(-5))^2=6^2\\(x-2)^2+(y+5)^2=36

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The line is translated 2 units down which equation will best describes the new line
ss7ja [257]

Answer:

The y intercept should be 2 lower than the original equation

Step-by-step explanation:

6 0
3 years ago
Please help me asap! please show your work
solmaris [256]
Make a proportion
81/30 = x/600
600/30 = 20
x/81 = 20
x = 1620
Solution: 1620 calories
7 0
2 years ago
The sum of a number times 8 and 21 is less than -16.
vodka [1.7K]

Hello.

First of all, let the number be t.

8 times t can be written like this:

\mathrm{8t}

Notice that the number is before the variable and the times sign (×) is not there.

We can write it as 8×t, but we usually write it as 8t.

The sum of means we add:

8t+21

Now, "less than" is "<" :

\mathrm{8t+21 < -16}

Therefore, the answer is

\mathrm{8t+21 < -16}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

7 0
2 years ago
At 82°F, a certain insect chirps at a rate of 61 times per minute, and at 91°F, they chirp 124 times per minute. Write an equati
Ganezh [65]

Answer:

y=7x-513

Step-by-step explanation:

Let

x----> the temperature in degrees Fahrenheit

y ---->insect chirping rate in times per minute

we have the ordered pairs

(82,61) and (91,124)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{124-61}{91-82}

m=\frac{63}{9}=7

step 2

Find the equation of the line

we know that

The equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=7  ---> the units are chirps per minute/degree F

take the point (82,61)

substitute and solve for b

61=7(82)+b

61=574+b

b=-513

substitute

y=7x-513

4 0
3 years ago
Simplify the expression 2 × 36 − 24 ÷ 6
marin [14]

Answer:

68

Step-by-step explanation:

P- parentheses

E- exponential

M- multiplication

D- division

A- addition

S- subtraction

2 x 36 = 72

72 - 24 ÷ 6

24 ÷ 6 = 4

72 - 4 = 68

3 0
3 years ago
Read 2 more answers
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