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icang [17]
3 years ago
9

HELP MEH PLEASE! THIS IS HALF MY GRADE! Subtract 16a+3 from 13a−5 . Which is the correct answer?

Mathematics
1 answer:
hoa [83]3 years ago
4 0
To answer the problem, we must identify the terms first. Our minuend is 13a - 5 and our subtrahend is 16a + 3. 
                               minuend - subtrahend = difference
                       (13a - 5) - (16a + 3) = difference
                            <em> difference = -3a - 8</em>
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Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio
Galina-37 [17]

Answer:

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is (x_1,y_1)=(-3, 2)

Equation of a circle with center (h,k) and radius 'r' is given as:

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

Here, (h,k)=(5,-4)

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

r^2=(h-x_1)^2+(k-y_1)^2

Using distance formula for the points (5, -4) and (-3, 2), we get

r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100

Now, rewriting it in the form asked in the question, we get

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

4 0
3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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