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3 years ago

Please help thank you.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

Hello!

The equation of a circle is

(x - h)^2 + (y - k)^2 = r^2

Put in the values we know

(x - h)^2 + (y - 7)^2 = 10^2

It went through point (3, -1)

(3 - h)^2 + (-1 - 7)^2 = 100

(3 - h)^2 + (-8)^2 = 100

(3 - h)^2 + 64 = 100

Subtract 64 from both sides

(3 - h)^2 = 36

Take the square root of both sides

3 - h = +6 or -6

Subtract 3 from both sides

-h = 3 or -9

Since h is negative we can multiply both sides by -1 to make it positive

3 = -3 or 9

The answer is B) 9, -3

Hope this helps!

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A bakery sold 36 brownies in a day, which was 30% of the total items sold that day. What was the total number of items the baker

babymother [125]

Answer:

120

Step-by-step explanation:

We know that 36 is 30% of total items

So our equation would be 36/? = 30/100

From there we cross multiply so 36x100 = 3600

From there, we divide 3600 by 100

Therefore, your answer is 120

6 0

3 years ago

When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? x equ

jarptica [38.1K]

Answer:

r = 105

Step-by-step explanation:

Given quadratic equation:

x² − 9x − 6

Quadratic formula is given by:

(-b ± √b² - 4ac) ÷ 2a

For the equation: x² - 9x - 6

a = 1, b = -9 and c = -6

Substitute in the quadratic formula:

(-b ± √b² - 4ac) ÷ 2a

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

The solution of x² − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2

Therefore, the value of r is 105

4 0

3 years ago

Is Q the midpoint or PR? please justify the answer

mezya [45]

Since PQ=PR
=> Q is the midpoint of PR
Hope this helps you

6 0

4 years ago

Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3)

Snezhnost [94]

Answer:

A=25 (Rounded)

Step-by-step explanation:

The first step is to find the length of BA which is the base, then you have the find the length of CD, the hight.

To find the distance, you need to use the distance formula which is

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$ (It does not matter if A is x1 or is B is x1, it just has to remain consistent)

I am going to first find BA

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

Next, subtract accordingly

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

$d=\sqrt{\left({-6}\right)^{2}+\left({-6}\right)^{2}}$

Once you do that, you want to square -6 and -6 which will give you

$d=\sqrt{\left({36}\right)+\left({36}\right)}$

Now add 36 with 36 which will leave you with

$d=\sqrt{{72}}$

Do that same thing for CD. If you did it right, you should be left with

$d=\sqrt{{18}}$

to find the area of a triangle, you must use the formula

$A=\frac{B*H}{2}$

The Base is $\sqrt{{72}}$ (BA) and the Hight is $\sqrt{{18}}$ (CD). substitute to get

$A=\frac{\sqrt{{72}}*\sqrt{{18}}}{2}$

Multiply the Base by the Hight to get

$A=\frac{\sqrt{{1,296}}}{2}$

Divide 1,296 by 2 to get

$A=\sqrt{{648}}$

Which is equal to

$A=25.455844122715710878430397035775$

Rounding it to the nearest whole number you get

A=25

Hope this helps. Feel free to ask any follow-up questions.

Have a good day! :)

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4 years ago

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erastovalidia [21]

Answer:c

Step-by-step explanation:

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3 years ago