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4 years ago

If 5x-7=13, what is the value of 10x-14

Mathematics

1 answer:

Andrej [43]4 years ago

3 0

Step-by-step explanation:

5x - 7 = 13

5x = 13 + 7

5x = 20

x = 20 ÷ 4 = 5

10x - 14

10(5) - 14 = 50 - 14 = 36

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Find the area of this triangle... Round to the nearest tenth and include units in your answer

alina1380 [7]

Answer:

36 m^2

Step-by-step explanation:

the formula for the area of a triangle is 1/2•b•h

so you’re going to do 1/2 times 12 times 6 to get the area of 36 m^2

4 0

3 years ago

Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5

givi [52]

<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

$A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]$ $X=\left[\begin{array}{c}x\\y\end{array}\right]$

and $B= \left[\begin{array}{c}11\\5\end{array}\right]$

∴AX=B

$adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]$

$A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6$

∴ $A^{-1} =\frac{adj A}{|A|}$

So, $A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}$

$A^{-1} ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}$

$X =A^{-1}\times B$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c} {6}\\ {11} \end{array}\right]}$

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0

3 years ago

Standard division quiz

Pachacha [2.7K]

Where's the question

8 0

3 years ago

Read 2 more answers

I need the answers for 3, 4, 5, and 6! thanks!!

Makovka662 [10]

Number 3 =32 us cups

4 0

3 years ago

candice is going to replace the top of a table with a new piece of wood. How many square feet of wood would she purchase? 8ft. ,

lukranit [14]

Answer:

She needs to purchase 50 square feet of wood .

Step-by-step explanation:

we can find the number of square feet of wood needed to purchase by finding the area of the table

The area of the table = area of the triangle + area of the rectangle

Area of the triangle:

Area of the triangle = $\frac{1}{2}(base \times height)$

On substituting the values from the attached figure , we get

Area of the triangle = $\frac{1}{2}(4\times 5)$

Area of the triangle = $\frac{20}{2}$

Area of the triangle = 10 square feet

Area of the rectangle:

Area of the rectangle = Length X Breadth

On substituting the values from the attached figure , we get

Area of the triangle = $5 \times 8$

Area of the triangle = 40 square feet

Thus the area of the table = 10 + 40 = 50 square feet

5 0

3 years ago