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3 years ago

Please help w steps! asap

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

8 0

Answer:

(4,6)

Step-by-step explanation:

The midpoint=( $\frac{5+3}{2} ,\frac{11+1}{2} )$

=(4,6)

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Create a proportion using the form %/100 = is/of = to represent the following word problem. 78% of what number is 42?

Aliun [14]

Answer:

.78 x = 42

x = 42 / .78

The number is 53.8461538462

Step-by-step explanation:

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4 years ago

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The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.

Inessa [10]

Answer: 1:1

Step-by-step explanation:

Let r be the radius and h be the height of a cylinder.

Formula: Curved surface area of cylinder = $2\pi rh$

Now, if radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height will be $H=\dfrac{1}{2}$

Now, new surface area = $2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh$

Ratio of curved surface areas : $\dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}$

Hence, the ratios of their surface areas = 1:1 .

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3 years ago

30 POINTS! Consider the system of linear equations and the matrix equations below.

fiasKO [112]

Answer:

Option C is correct.

Step-by-step explanation:

-x+3y=2

4x-2y=22

In matrix form is represented as:

$\left[\begin{array}{cc}-1&3\\4&-2\end{array}\right] \left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}2&22\end{array}\right]$

AX=B

$X = A^{-1}B$

$A^{-1} = |A|/Adj A$

|A| = (-1)(-2)-(3)(4)

|A| = 2-12

|A| = -10

Adj A = $\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]$

A^-1 = -1/10 $\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]$

A^-1 = 1/10 $\left[\begin{array}{cc}2&3\\4&1\end{array}\right]$

X= A^-1 B

X = 1/10 $\left[\begin{array}{cc}2&3\\4&1\end{array}\right]$ $\left[\begin{array}{c}2&22\end{array}\right]$

X=1/10 $X=1/10\left[\begin{array}{c}2*2+3*22\\4*2+1*22\end{array}\right]\\X=1/10\left[\begin{array}{c}4+66\\8+22\end{array}\right]\\X=1/10\left[\begin{array}{c}70\\30\end{array}\right]\\X=\left[\begin{array}{c}70/10\\30/10\end{array}\right]\\X=\left[\begin{array}{c}7\\3\end{array}\right]$