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tangare [24]
3 years ago
11

How would you solve this? help.

Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0

Answer:

<em>Center: (3,3)</em>

<em>Radius: </em>2\sqrt{5}<em />

Step-by-step explanation:

<u>Midpoint and Distance Between two Points</u>

Given two points A(x1,y1) and B(x2,y2), the midpoint M(xm,ym) between A and B has the following coordinates:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

The distance between both points is given by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Point (5,7) is the center of circle A, and point (1,-1) is the center of the circle B. Given both points belong to circle C, the center of C must be the midpoint from A to B:

\displaystyle x_m=\frac{5+1}{2}=\frac{6}{2}=3

\displaystyle y_m=\frac{7-1}{2}=\frac{6}{2}=3

Center of circle C: (3,3)

The radius of C is half the distance between A and B:

d=\sqrt{(1-5)^2+(-1-7)^2}

d=\sqrt{16+64}=\sqrt{80}=\sqrt{16*5}=4\sqrt{5}

The radius of C is d/2:

r =4\sqrt{5}/2 = 2\sqrt{5}

Center: (3,3)

Radius: 2\sqrt{5}

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800 g pineapple
neonofarm [45]

Answer:

<u>30 people </u>

Step-by-step explanation:

The question is as following:

Here are the ingredients for pineapple sherbet for 6 people

800g pineapple 4 egg whites 1/2 lemon 100g caster sugar

Dan makes pineapple sherbet he uses 2 1/2 lemons

work out how many people he makes pineapple sherbet for?

=======================================================

1/2 lemon needed for pineapple sherbet for 6 people

2 1/2 lemons needed for pineapple sherbet for <u>x</u> people

1/2 : 6 = 2 1/2 : x

∴ x = ( 6 * 2 1/2 ) ÷ (1/2)

x = 6 * 5/2 * 2 = 30 people

<u>So, he make the pineapple sherbet for 30 people </u>

5 0
3 years ago
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The answer would be b 105
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3 years ago
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WHAT IS THE ANSWER:19.393x738.3803=
solniwko [45]
19.393x738.3803= 14319.409
7 0
3 years ago
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Elena drops her pencil in her cup and notices that it just fits diagonally. the pencil is 17cm long and the cup is 15cm tall. wh
Vadim26 [7]

Hence the answer is 480ml

Step-by-step explanation:

Given Elena wonders how much water it will take to fill her cup. She drops her pencil in the cup and notice it just fit diagonally. The pencil is 17cm long (hypotenes) and the cup is 15cm tall.

To find how much water it can hold

SOLUTION

s

\sqrt{x {} ^{ 2}  + x {}^{2}  + 15 {}^{2}  = 17 }

2x {}^{2}  = 64

x {}^{2}  = 32

x = 5.66

therefore volume of the cup

5.66 \times 5.66 \times 15cm|

480cm³= 480ml

4 0
2 years ago
Rewrite the following equation in slope-intercept form. 5x + 7y = 7 Write your answer using integers, proper fractions, and impr
pogonyaev
Answer:
y = (-5/7) x + 1

Explanation:
The slope-intercept form of the line has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
5x + 7y = 7

To put this in slope-intercept form, we will need to isolate the y as follows:
5x + 7y = 7
7y = -5x + 7
y = (-5/7) x + (7/7)
y = (-5/7) x + 1
where:
m is the slope = -5/7
c is the y-intercept = 1

Hope this helps :)


6 0
3 years ago
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