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rewona [7]
2 years ago
10

Answer the following prompts with numerical answers only. If necessary, round answers to the nearest tenth of a unit. The diamet

er of circle P has endpoints A(-1, 5) and B(4, -3). Use the midpoint formula to find the coordinates of the center of the circle, P(x,y). P( Use Use the distance formula to find the length of the radius of circle P. The length of the r
Mathematics
1 answer:
Marrrta [24]2 years ago
7 0
The midpoint is simply the average of the x and y coordinates of two points.

p=((-1+4)/2, (5-3)/2)

p=(1.5, 1)  so the midpoint, or center of the circle is (1.5, 1)

The distance between the two points, which can be found using an extension of the Pythagorean Theorem.

d^2=(x2-x1)^2+(y2-y1)^2, in this case:

d^2=(4--1)^2+(-3-5)^2

d^2=5^2+(-8)^2

d^2=25+64

d^2=89

d=√89, since d=2r

2r=√89

r=√(89/4)

r=√22.25

r≈4.7 units  (to nearest tenth of a unit)
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Kazeer [188]

Answer: f(x)= 3x + 10 and g(x)= 2x - 4

(f+g)(x)= 3x + 10 + 2x - 4

3x + 2x + 6

5x + 6

b and c

Step-by-step explanation:

8 0
2 years ago
From the top of a tower 120m high the angle of depression of a stone on the ground is found to be 30°. How far is the stone from
gogolik [260]

Step-by-step explanation:

so from this, I think the difference is 207.84 m

:)

8 0
2 years ago
30 POINTS!!!!!!!! JoeNah, DeKobian and Evan wrote equations to calculate the amount of money in a savings account after one year
castortr0y [4]

Answer:

See the explanation for the answer to this question

Step-by-step explanation:

Let

B ---> the balance of money saved.

M ---> the amount invested in dollars

JoeNah's Equation

M=$100

B=1.5(100)=\$150

Dekobian's Equation

M=$100

B=100+0.05(100)=\$105

Evan's Equation

M=$100

B=M(1+0.05)

Substitute

B=100(1+0.05)=\$105

Dekobian's equation and Evan's equation are correct! :)

JoeNah's equation is wrong. :(

Hope this helps you!

Have a good evening!

4 0
3 years ago
Ethan's taxable income is $87,525. Use this tax schedule to calculate the total amount he owes in taxes.
Reptile [31]
$18,617.75 is the answer
$87,525-$77,100=$10,425 (the amount over $77,100)
$10,425 x .28=$2,919 (the 28% taxed amount over $77,100)
$2,919+$15,698.75 (the already taxed amount in the chart)=$18,617.75



8 0
2 years ago
Can someone check if my answers are right? I got 6,-18,54,-162,486,1458​
Lyrx [107]

Answer:

yes, you have it right except you need the 1458 negative

Step-by-step explanation:

Nice job getting them right!

8 0
2 years ago
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