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3 years ago

If I have a right triangle with a side length of 4 and a hypotenuse of 5, what is the measure of the other side length?

Mathematics

1 answer:

NeTakaya3 years ago

6 0

Answer:

The measure of the other side length is 3.

Step-by-step explanation:

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Find the equation of a circle that has a diameter with the endpoints given by the points A(-4,9) and B (- 2, - 3) )

Aleksandr-060686 [28]

The equation of the circle is $(x+3)^{2}+(y-3)^{2}=37$

Explanation:

Given that the endpoints of the circle are A(-4,9) and B(-2,-3)

We need to determine the equation of the circle.

<u>Center:</u>

The center of the circle can be determined using the midpoint formula,

$Center=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substituting the coordinates A(-4,9) and B(-2,-3), we get,

$Center=(\frac{-4-2}{2},\frac{9-3}{2})$

$Center=(\frac{-6}{2},\frac{6}{2})$

$Center=(-3,3)$

Thus, the center of the circle is (-3,3)

<u>Radius:</u>

The radius of the circle can be determined using the distance formula,

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Substituting the center (-3,3) and the endpoint (-4,9), we get,

$r=\sqrt{\left(-4+3\right)^{2}+\left(9-3\right)^{2}}$

$r=\sqrt{\left(-1\right)^{2}+\left(6\right)^{2}}$

$r=\sqrt{1+36}$

$r=\sqrt{37}$

Thus, the radius of the circle is $\sqrt{37}$

<u>Equation of the circle:</u>

The standard form of the equation of the circle is given by

$(x-a)^{2}+(y-b)^{2}=r^{2}$

where (a,b) is the center and r is the radius.

Substituting the values, we have,

$(x+3)^{2}+(y-3)^{2}=(\sqrt{37})^{2}$

$(x+3)^{2}+(y-3)^{2}=37$

Thus, the equation of the circle is $(x+3)^{2}+(y-3)^{2}=37$

7 0

3 years ago

What’s the answer to the question mark

melamori03 [73]

The missing number is 20

<h3>How to determine the number</h3>

We can see that the values at the top must be made equal to that at the bottom

For the top, we have

30 + 11 = 41

For the bottom, we should have:

21 + x = 41

Now, let's solve for 'x' to determine the missing figure;

21 + x = 41

collect like terms

x = 41 - 21

x = 20

Thus, the missing number is 20

Learn more parallel lines here:

brainly.com/question/13999767

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6 0

2 years ago

A school needs 75 light bulbs. Bulbs

igor_vitrenko [27]

The answer is about 9 1/2 because of this you should have 10 lightbulbs 10 as your answer

5 0

3 years ago

The total cost of four pens and seven mechanical pencils is $13.25. The cost of each pencil is 75 cents.

Harrizon [31]

Answer:

7 x 75 then 13.25 - 5.25

Step-by-step explanation:

do the math then thats the awnser

5 0

3 years ago

Write the number 7×10^4 in standard notation

SpyIntel [72]

Answer:

The answer would be 70000, because the 10 is powered to 4 you have to put down 4 zeros and since the equation is 7×10^4 you have to put down a 7 before the 4 zeros, therefore the answer would be 70000

7 0

3 years ago