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2 years ago

Write the equation of the circle centered at (4, - 9) with diameter 16. HELP A GIRL OUT

Mathematics

1 answer:

iragen [17]2 years ago

4 0

Answer:

16= (x-4)^2 +(y+9)^2

Step-by-step explanation:

hey! The formula for the equation of a circle is r^2= (x-h)^2 + (y-k)^2

r= the radius (in your case you have the diameter so you do not need to square it)

(h,k)= is the center coordinates, so your center coordinate would be (4, -9). You now have your h (h=4) and your k (k=-9) so you can plug it in the formula! :)

a nice rating would help out

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3 years ago

In how many ways can 5 students be seated in a row of 5 chairs if jack insists on sitting in the first chair

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3 years ago

Profit P(x), is the difference between revenue, R(x), and cost, C(x), so P(x)=R(x)-C(x). Which expression represents P(x), if R(

siniylev [52]

Answer:

P(x)= x ^4-3x^3+x^2-4

Step-by-step explanation:

Given data

R(x) = 2x ^4-3x^3+2x-1

c(x)=x^4-x^2+2x+3

We know that

P(x)=R(x)-C(x)

Hence

P(x)= 2x ^4-3x^3+2x-1-(x^4-x^2+2x+3)

open bracket

P(x)= 2x ^4-3x^3+2x-1-x^4+x^2-2x-3

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P(x)= 2x ^4-x^4-3x^3+x^2-2x+2x-3-1

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4 0

3 years ago

Solve st + 3t = 6 for s

vaieri [72.5K]

st + 3t = 6 for s

Subtract 3t to both sides

st + 3t - 3t = 6 - 3t

Simplify

st = 6 - 3t

Divide both sides by t

st/t = (6-3t)/3

simplify

s = 6/3 - 3t/3

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6 0

3 years ago

Theo earns a base salary plus commission. At the end of September, he was paid $3,835.25 based on his monthly sales of $12,850.

hodyreva [135]

Theo's base salary using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

Bear in mind that total earnings are determined as base salary plus commission

Let X be the base salary

Let R be the rate of commission

commission =sales*rate of commission

When earnings were $3,835.25 and sales is $12,850, we have the below equation:

X+(12,850*R)=3,835.25

X+12850R=3,835.25 .................... equation (1)

When earnings were $3,641 and sales is $9,875, we have the below equation:

X+(9,875*R)=3641

X+9875R=3641 ......................... equation (2)

subtract equation 2 from 1

2975R=194.25

R=194.25/2975

R=commission rate=6.52941176470588%

substitute for R in equation 1 to arrive at X(base salary)

X+(12850*6.52941176470588%)=3,835.25

X=3,835.25-(12850*6.52941176470588%)

X=base salary=$2,996.22

Find further guide on simultaneous equation in the link below:

brainly.com/question/6597041

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7 0

2 years ago