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zhenek [66]
3 years ago
15

Draw and label the circle given by the equation (x - 5 + y + 10 = 6​

Mathematics
1 answer:
Alik [6]3 years ago
3 0

Answer:

See attachment for drawing

Step-by-step explanation:

Given

(x -5)^2 + (y + 10)^2 = 6^2

Required

Draw and label the circle

The equation of a circle is:

(x -a)^2 + (y - b)^2 = r^2

Where:

Center = (a,b)

Radius = r

So, we have:

Center = (5,-10)

Radius = 6

<em>See attachment for drawing</em>

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. A pitcher’s mound on a women’s softball field is 43 feet from home plate and the distance between the bases is 60 feet. How fa
butalik [34]

Answer:

42.43 ft

Step-by-step explanation:

Please find attached an image of the softball pitch

h² = p² + f² -2x p×f×cos45

h² = 43² + 60² - 2x (43)(60) x 0.7071

h² = 1849 +  3600 - 3648.636

h² = 1800.364

h = √1800.364

h = 42.43 feet

8 0
3 years ago
Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If clare doesn't
AVprozaik [17]

We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.

We will use exponential growth function to solve our given problem.

An exponential growth function is in form y=a(1+r)^x, where

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

3\%=\frac{3}{100}=0.03

We can see that initial value is $160. Upon substituting our given values in above formula, we will get:

y=160(1+0.03)^x

y=160(1.03)^x

To find amount of money in Clare's account after 30 years, we need to substitute x=30 in our equation.

y=160(1.03)^{30}

Therefore, the expression 160(1.03)^{30} represents the amount of money that Clare would have after 30 years.

8 0
4 years ago
How do i round 8.544 to the nearest hunderdth
mario62 [17]
8.54. The last number is low so it can not round up to 5
5 0
4 years ago
Read 2 more answers
Simplify the expression:<br> 6(h + 6) + 1
Brrunno [24]

Answer:

This is your answer

4 0
3 years ago
Evaluate -x + 4y when x =
ale4655 [162]

Answer:

8

Step-by-step explanation:

-4/5+4(1)/3 = -4/5 + 4/3

L.C.M = 15

then -12+20/15 = 8/15

3 0
3 years ago
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