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3 years ago

What is the center of a circle represented by the equation (x−5)2+(y+6)2=42?

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

6 0

Answer:

(5,-6)

Step-by-step explanation:

LenaWriter [7]3 years ago

5 0

Answer:

(-5,-6)

Step-by-step explanation:

Just use desmos.com !

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What do e and f equal?

Aleks04 [339]

They both equal 78 degrees because they are the same angle which means that they have the same degrees for f and e.

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3 years ago

M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)

Deffense [45]

Answer:

Part 1) $MD=9\ units$

Part 2) $DC=12\ units$

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

In this problem

$MD=ME=MF$ ------> is the radius of a circle inscribed inside the triangle

we have that

$MF=9\ units$

therefore

$ME=9\ units$

$MD=9\ units$

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

$MC^{2} =MD^{2}+DC^{2}$

we have

$MD=9\ units$

$MC=15\ units$

substitute

$15^{2} =9^{2}+DC^{2}$

$DC^{2}=225-81$

$DC=\sqrt{144}\ units$

$DC=12\ units$

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4 years ago

Together, Steve and Tom sold 79 raffle tickets for their school. Steve sold 13 more than twice as many raffle tickets as Tom. Ho

AysviL [449]

Tom sold 22 tickets and Steve sold 57 tickets here is the method

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3 years ago

Estimate by division ..70/9.24

astraxan [27]

The answer is 7.58

hope this helped :)
alisa202

6 0

3 years ago

Read 2 more answers

If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second

Yuri [45]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{s^3}{s^3}=\cfrac{\textit{volume of smaller}}{\textit{volume of larger}}\implies \cfrac{3^3}{5^3}=\cfrac{54}{v}
\\\\\\
v=\cfrac{5^3\cdot 54}{3^3}$

3 0

3 years ago