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3 years ago

Solve the following equation

Mathematics

1 answer:

atroni [7]3 years ago

7 0

First of all, you can simplify the right hand side, since 12/4=3.

Then, multiply both sides of the equation by 5:

$\dfrac{x}{5}=3 \iff x=15$

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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:

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

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

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3 years ago

Read 2 more answers

Math help please Knock knock

mart [117]

3/9
24/54
35/5
35/7

Explanation:
express 1/2 with denominator 10

All you have to do is divide the 10 by two and multiply your result by the numerator.

Therefore: 10/2=5
5x1=5

numerator= 5
denominator=10

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2 years ago