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Firlakuza [10]
3 years ago
12

Answer C and D please

Mathematics
1 answer:
DENIUS [597]3 years ago
6 0

Answer:

C. solution:

3(3c-2) = 5(2c-1)

or, 9c-6 = 10c-5

or, -6+5 =<em> </em>10c-9c

or, -1 = 1c

Hence, c = -1.

D. solution:

5(5-2a) = 4(6-a)

or, 25-10a = 24 - 4a

or, 25-24 = -4a+10a

or, 1 = 6a

or, 1/6 = a

Hence, a = 1/6.

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\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-2}{2-(-3)}\implies \cfrac{1-2}{2+3}\implies -\cfrac{1}{5} \\\\\\ \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-2=-\cfrac{1}{5}[x-(-3)]\implies y-2=-\cfrac{1}{5}(x+3)

\bf y-2=-\cfrac{1}{5}x-\cfrac{3}{5}\implies y=-\cfrac{1}{5}x-\cfrac{3}{5}+2\implies y=-\cfrac{1}{5}x+\cfrac{7}{5} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y)=5\left( -\cfrac{1}{5}x+\cfrac{7}{5} \right)}\implies 5y=-x+7\implies \blacktriangleright x+5y=7 \blacktriangleleft

4 0
3 years ago
the length of a rectangular Garden is 24 ft and the width is 12 ft what is the ratio of length to width of the garden
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4 0
4 years ago
Read 2 more answers
A rectangle has a height of k^2+3k 2 +3k, squared, plus, 3 and a width of k^2+7k 2 +7k, squared, plus, 7. Express the area of th
vlada-n [284]

Answer: k^4+10k^3+21k^2

Step-by-step explanation:

Given

Height of rectangle is h=k^2+3k

Width is w=k^2+7k

The area of the rectangle is given by the multiplication of the height and width

\Rightarrow A=\left(k^2+3k\right)\left(k^2+7k\right)\\\\\Rightarrow A=k^2k^2+k^2\cdot \:7k+3kk^2+3k\cdot \:7k\\\\\Rightarrow A=k^4+10k^3+21k^2

Thus, the area of the rectangle is k^4+10k^3+21k^2.

3 0
3 years ago
The post office is now calculating the volume of packages to determine the shipping cost. If a box measure 8 1/2 inches long, 5
sladkih [1.3K]
Answer:
volume of box = 312.375 in²

Explanation:
The volume of a rectangular box can be measured as follows:
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From the givens we have:
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volume = 312.375 in²

Hope this helps :)
3 0
3 years ago
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