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crimeas [40]
3 years ago
7

A circle with center at (-2,2) passes through (7,2). Find the circumference and area of the circle in terms of p.

Mathematics
1 answer:
____ [38]3 years ago
8 0

Answer:

18pi units is the circumference

81pi units² is the area

Step-by-step explanation:

Radius² = (-2-7)² + (2-2)² = 9²

Radius = 9

Circumference = 2pi×r

= 18pi

Area = pi × r²

= 81pi

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Question 3. Find the distance between P(4,5) and the line with equation 8x + 5y = 20​
earnstyle [38]

Answer:

Step-by-step explanation:

8x+5y = 20

y = (-8/5)x + 4

slope of the line is -8/5.

slope of any perpendicular to the line is ⅝.

line of slope ⅝ that passes through P(4,5):

y-5 = ⅝(x-4)

y = ⅝x + 2.5

find intersection of lines

⅝x + 2.5 = (-8/5)x + 4

25x + 100 = -64x + 160

89x = 60

x = 60/89, y = 260/89

distance between (60/89, 260/89) and (4,5) = 3.92

8 0
3 years ago
Can someone help me solve for x in this equation?? 25+3.50x < 17+7.50x
Lelu [443]
So we want to solve like if it was just a basic equation. We start with 25+3.50x<17+7.50x and get rid of our smallest x. That means we get rid of the 3.50x by subtracting from both sides and our new equation is 25<17+4x. Let’s get our x by itself shall we, so let’s subtract 17 from both sides and we get 8<4x. Finally all we do is divide by 4 and just like that 2
4 0
3 years ago
Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes two hours longer tha
Harlamova29_29 [7]

3/(x+2) = 2/x

multiply both fractions by x(x+2) to cancel out the bottoms

so it becomes 3x = 2x+4

ow subtract 2X from both sides and you get

x = 4

so it took Juan 4 hours

 it took Yumi 2 hours more so 4+2 = 6 hours

7 0
3 years ago
Read 2 more answers
What are the solutions to this equation?
ziro4ka [17]

 

\displaystyle\\(x-4)^2=49\\\\(x-4)^2-49=0\\\\(x-4)^2-7^2=0\\\\(x-4-7)(x-4+7)=0\\\\(x-11)(x+3)=0\\\\x-11 = 0~~~\text{or}~~~x+3=0\\\\x-11=0~~~\implies~~~\boxed{x_1=11}\\\\x+3=0~~~\implies~~~\boxed{x_2=-3}\\\\\boxed{\bf The~solutions~are:~~x =11~~\text{or}~~x =-3}



8 0
3 years ago
A laboratory experiment requires 2400 milligrams of sugar. How many kilograms of sugar does the experiment require?
telo118 [61]

Answer:

0.0024

Step-by-step explanation:

1 killogram=1000000

5 0
3 years ago
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