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Arisa [49]
3 years ago
12

PLEASE HELP ON THIS PLEASE I REALLY NEED HELP

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

Answer:

21.07 ft²

Step-by-step explanation:

Radius = 7

Length of the rectangle = 2 * 7 = 14 ft

Area of rectangle = 14 * 7 = 98 ft²

Area of semicircle = π(7)²/2 = 76.93 ft²

So the are of shaded region = 98 - 76.93 = 21.07 ft²

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Determime the intercepts of the line that passes through the following points. (-6,5);(-3,3);(0,1)
butalik [34]

well for a line, to get its slope all we need is two points, so let's use (-6, 5) and (0, 1), and get the equation of it.


\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{5})\qquad
(\stackrel{x_2}{0}~,~\stackrel{y_2}{1})
\\\\\\
slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-5}{0-(-6)}\implies \cfrac{1-5}{0+6}\implies -\cfrac{5}{6}


\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-5=-\cfrac{5}{6}[x-(-6)]\implies y-5=-\cfrac{5}{6}(x+6)
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\textit{to get the x-intercept, we set y = 0, solve for \underline{x}}
\\\\\\
0-5=-\cfrac{5}{6}(x+6)\implies -30=5x+30\implies -60=5x
\\\\\\
\cfrac{-60}{5}=x\implies -12=x~\hfill \boxed{\stackrel{x-intercept}{(-12,0)}}


now, where's the y-intercept of that line?  well, to get the y-intercept, we set x = 0 and solve for "y"....hmmmm wait a second, notice (0, 1), x = 0, y = 1, that's the y-intercept already.

7 0
4 years ago
The expression 2x−(2x+3)2+4(x−1)+x3 can be simplified into the form Ax3+Bx2+Cx+D. Find the missing constants A, B, C, and D belo
Talja [164]

Answer:

Step-by-step explanation:

Before solving this we  have to know that,

(-) ×(-)=(+)

(+)×(+) =(+)

(+)×(-)=(-)

Lets solve now,

2x-(2x+3)2+4(x-1)+x^{3} \\2x-(2x-3)^{2} +4x-4+x^{3} \\2x-(4x^{2} -12x+9)+4x-4+x^{3} \\2x-4x^{2} +12x-9+4x-4+x^{3} \\2x+12x+4x-4x^{2} -9-4+x^{3} \\14x-4x^{2} -13+x^{3} \\\\So,\\x^{3} -4x^{2} +14x-13\\\\Therefore,\\A = 1\\B = (-4)\\C = 14\\D = (-13)

Hope this helps you

Let me know if you have any other questions :-)

4 0
3 years ago
Using the diagram below, determine the value of x, y, and z.
kvasek [131]

Answer:

cccccccdddffff

Step-by-step explanation:

3 0
3 years ago
What is 7 1/3 + 5 4/5
Alecsey [184]

Answer:

1.5333333

Step-by-step explanation:

7 1/3 + 5 4/5 = 23/15 =1 8/15 =1.53

4 0
3 years ago
What is 25 dived by 9
katrin2010 [14]

Answer:

<h2>2.7777777778</h2>

Step-by-step explanation:

8 0
3 years ago
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