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Sever21 [200]
3 years ago
10

Write an equation of a circle given the center (-4,4) and radius r=5

Mathematics
1 answer:
Irina-Kira [14]3 years ago
8 0

Answer:

Step-by-step explanation:

Equation of circle: (x - h)² + (y - k)² = r²   where (h,k) is the center.

Center( -4 , 4) and r = 5

(x -[-4])² + (y - 4)²= 5²

(x + 4)² + (y-4)² = 25

x²  + 2*4*x +4²  + y²  - 2*y*4 + 4²  = 25

x²  +8x + 16 + y²  - 8y + 16 = 25

x²  + 8x + y²  - 8y + 16 + 16 -25 = 0

x²  + 8x + y²  - 8y +7 = 0

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In his boat, Sheldon can travel 45 mi downstream in the same time that it takes to travel 9 mi upstream. If the rate of the curr
Nataliya [291]

Answer:

9 mph

Step-by-step explanation:

-let x be the speed of current and t be time. The speed equation for both directions can then be represented as:

Speed=\frac{Distance}{Time}\\\\\#Upstream\\(u-6)t=9\\\\\#Donwstream\\\\(u+6)t=45

#Since t is equal in both, we can do away with t.

#We the divide the downstream equation by the upstream equation as:

\frac{u+6}{u-6}=\frac{45}{9}\\\\(u+6)=5(u-6)\\\\u+6=5u-30\\\\4u=36\\\\u=9

Hence, the boat's speed in still water is  9 mph

7 0
3 years ago
1. SOCCER Suppose a youth soccer field has a
padilas [110]

Answer:

L = 100

W = 60

Step-by-step explanation:

2L + 2W = 320

-2L + 2W = -80

4W = 240

W = 60

L - W = 40

L - 60 = 40

L = 100

6 0
2 years ago
By nine weeks the fetus May do which of the following
Levart [38]

Answer:

At 9 weeks pregnant, your baby moves from the embryonic stage to the fetal stage. There is continued rapid growth with huge developmental strides. They are now around the size of a peanut.

Step-by-step explanation:

You can just find this information on google

4 0
3 years ago
The table shows the average temperatures of different cities on a particular day. On a number line, which city's temperature wil
pantera1 [17]

Answer:

chicken tender

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
PLZ ANSWER WILL GIVE 25 POINTS AND WILL MARK BRAINLIEST!! PLEASE I NEED ASAP
Studentka2010 [4]

Answer:

7 quarters and 3 dimes

Step-by-step explanation:

x: quarter       y: dime

25x + 10y = 205

x+y=10

y = 10-x

25x + 10*(10-x) = 205

25x+100 -10x = 205

15x = 105

x = 7

7 = 10-7 = 3

6 0
3 years ago
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