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evablogger [386]
3 years ago
7

Write the product in its simplest form -7c×6c^8​

Mathematics
1 answer:
liraira [26]3 years ago
4 0

Answer:

-42c^8

Step-by-step explanation:

-7c×6c^8​

-42c^8

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if a car drives 80 miles in 1 hours how many miles will the car travel in 30 minutes at this rate? how many miles will it travel
eimsori [14]
40 miles in 30 minutes, 60 miles in 45 minutes

divide 80 by 60 (mins in a hour) then multiply that’s by the number of minutes (30,45)
4 0
3 years ago
If the base number is 2/3 and the power is 5.
solniwko [45]

Answer:

32/243

Step-by-step explanation:

do 2 to the 5th and put it above 3 to the 5th

3 0
3 years ago
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What is the equation for a circle with a center at (-2,-4) that passes through the point (3,8)?
Margarita [4]
Check the picture below.

so, the center of the circle is the midpoint of that diametrical segment, and half that length is the radius.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -2 &,& -4~) 
%  (c,d)
&&(~ 3 &,& 8~)
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{3-2}{2}~~,~~\cfrac{8-4}{2} \right)\implies \left( \frac{1}{2}~,~2 \right)\impliedby center

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -2 &,& -4~) 
%  (c,d)
&&(~ 3 &,& 8~)
\end{array}~~~ 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[3-(-2)]^2+[8-(-4)]^2}\implies d=\sqrt{(3+2)^2+(8+4)^2}
\\\\\\
d=\sqrt{25+144}\implies d=\sqrt{169}\implies d=13\qquad\qquad \qquad  \stackrel{radius}{\frac{13}{2}}

\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{\frac{1}{2}}{ h},\stackrel{2}{ k})\qquad \qquad 
radius=\stackrel{\frac{13}{2}}{ r}
\\\\\\
\left( x-\frac{1}{2} \right)^2+(y-2)^2=\left( \frac{13}{2} \right)^2\implies \left( x-\frac{1}{2} \right)^2+(y-2)^2=\frac{169}{4}

3 0
3 years ago
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Solve the system.
gtnhenbr [62]
X = y + 11

2x + y = -2
2(y + 11) + y = -2
2y + 22 + y = -2
3y + 22 = -2
3y = -24
y = -8

x = y + 11
x = -8 + 11
x = 3

Solution set {3, -8} (C)
8 0
3 years ago
Sarah predicts that 15 percent of all the birds she spots while bird watching will be robins. At the end of the day, she records
8_murik_8 [283]
Apply hypothesis testing
4 0
3 years ago
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