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RoseWind [281]
3 years ago
6

Write the equation in standard form for the circle -20y = -x^2 - y^2 - 36

Mathematics
2 answers:
Aneli [31]3 years ago
6 0

Answer:

x^2+(y-10)^2=64

Step-by-step explanation:

In standard form.

x^2+(y-10)^2=64

Eva8 [605]3 years ago
5 0

Answer:

x^2 + (y - 10)^2 = 64

Step-by-step explanation:

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A circular rug measures 8 feet across. What is the area of the rug
Ivanshal [37]

Hey there!

The distance across a circle is called the diameter. Half of the diameter is the radius. To find the area of a circle, you take the radius, square it, and then multiply it by pi. Let's do it below.

8²=64

64*3.14=200.96

Therefore, the area of the rug is 200.96 ft².

I hope this helps! Have a great day.

6 0
3 years ago
What's 5 - the square root of x + 10 = the square root of 7 - x
Tcecarenko [31]
\bf 5-\sqrt{x+10}=\sqrt{7-x}\impliedby \textit{squaring both sides}
\\\\\\
(5-\sqrt{x+10})^2=(\sqrt{7-x})^2
\\\\\\
(5^2)-10\sqrt{x+10}+(x+10)=7-x
\\\\\\
35-10\sqrt{x+10}+x=7-x\implies 28-10\sqrt{x+10}+2x=0
\\\\\\
2x+28=10\sqrt{x+10}\implies x+14=5\sqrt{x+10}\impliedby 
\begin{array}{llll}
squaring\ both\\
sides\ again
\end{array}
\\\\\\


\bf (x^2)+28x+(14^2)=5^2(x+10)\implies x^2+28x+196=25x+250
\\\\\\
\begin{array}{lcclll}
x^2&+3x&-54&=0\\
&\uparrow &\uparrow \\
&-6+9&-6\cdot 9
\end{array} \implies (x+9)(x-6)=0\implies 
\begin{cases}
x+9=0\\
\boxed{x=-9}\\
-----\\
x-6=0\\
\boxed{x=6}
\end{cases}
3 0
3 years ago
Please help! What’s the mean of 13, 13, 10?
avanturin [10]

Answer:

For mean it's the average. You add all three numbers (13, 13 , 10), then you divide it by three since their are three numbers. Average would be 12.

Hope this helps (:

8 0
3 years ago
PLEASE HELP?!
Anon25 [30]
The middle point of BC is (0,2), the midpoint of CD is (1,0)
to prove two lines are parallel, prove their slopes are the same.
slope of BD: m=rise/run=4/-2=-2 (the run is negative because to get to B from D on the grid, you have to move from right to left, then upward. If the horizontal move is from left to right, the run is positive)
slope of EG: m=rise/run=2/-1=-2 
EG and BD have the same slope, so they are parallel. 
3 0
3 years ago
The table below shows the typical hours worked by employees at a company. A new employee is offered an annual salary of $37,000.
Mademuasel [1]

Answer:

Salaried pay is preferable for a new employee

Step-by-step explanation:

<u>As per table, hours worked per week:</u>

  • 0+ 8.5+ 9.5+ 7.5+ 8+ 8.5+ 4 = 46

<u>Employee gets paid for 46 hours per week:</u>

  • $40*14 + (46- 40)*$21 = $686

<u>Average yearly salary would be:</u>

  • $686/7*365 = $35770

<u>Comparing with annual salary, we see:</u>

  • $37000 > $35770

As we see, hourly employees get paid less, so the new employee should choose annual salary option

7 0
3 years ago
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