<img src="https://tex.z-dn.net/?f=%28x-4%29%5E%7B2%7D%20%5E%2B%28y-3%29%5E%7B2%7D%20%3D16" id="TexFormula1" title="(x-4)^{2} ^+(

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3 years ago

y-3)^{2} =16" alt="(x-4)^{2} ^+(y-3)^{2} =16" align="absmiddle" class="latex-formula">
Find the center and radius

(explanation please, I need help)

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

8 0

an equation for a circle has formula

(x-m)² + (y-n)² = r²

where (m,n) is its center

and r is its radius

so, the equation has center (4,3) and radius 4

the equation is derived from the pythagorean theorem

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The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?

Lorico [155]

Answer:

$\boxed{6912 units^2}$

Step-by-step explanation:

<em>Hey there!</em>

Well using the given ratio,

3:4

And the area of the small shape we need to do,

72*72 = 5184

Now we can make the following fractions,

$\frac{3}{4}$ = $\frac{5184}{x}$

Now we can solve,

3*x = 3x

4 * 5184 = 20736

3x = 20736

20736 / 3

x = 6912

So the area of the bigger shape is 6912 units^2

<em>Hope this helps :)</em>

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3 years ago

Rectangle with side lengths of 1/2 ft. and 3/4 ft. What is the area and perimeter?

deff fn [24]

Perimeter: all the sides added together, so that would be 1/2+1/2+3/4+3/4, which is 2 and a half feet

Area: the two side lengths multiplied, so 1/2*3/4, which is 3/8 feet squared

4 0

3 years ago

????????????????????

Snowcat [4.5K]

Greetings!

Substitute:
$x+y=1000 \\ x=1000-y$
Now we can input this into the other equation so, we only have one variable.

Solve for y.
$0.05(1000-y)+0.06y=57$
Distribute the parenthesis.
$50-0.05y+0.06y=57$
Combine Like Terms.
$50-0.01y=57$
Add -50 to both sides.
$(50-0.01y)+(-50)=(57)+(-50)$
Simplify.
$0.01y=7$
Divide both sides by 0.01.
$(0.01y)/0.01=(7)/0.01$
Simplify.
$y=700$

Input this value into the other equation.
$x+700=1000$
Add -700 to both sides.
$(x+700)+(-700)=(1000)+(-700)$
Simplify.
$x=300$

The answer would be 300,700

Hope this helps.
-Benjamin

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3 years ago

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notka56 [123]

-21 i think is should be

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Zinaida [17]

Answer:

Step-by-step explanation:

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