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Fantom [35]
3 years ago
14

The length of a rectangle is 5 times its width. Write an expression you would use to find the length when given the width (w). W

hat is the length of the rectangle if its with is 20 inches?
Mathematics
1 answer:
nadya68 [22]3 years ago
4 0
Let 5w equal the length and w equal the width.

5w + w = Area
6w = Area

5(20) = Length
Length = 100 inches
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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo
nlexa [21]

Given:

Equation of line 7x-4y=-12.

To find:

The equation of line  that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

7x-4y+12=0

Slope of line is

\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{7}{(-4)}

m_1=\dfrac{7}{4}

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

m_1m_2=-1

m_2=-\dfrac{1}{m_1}

m_2=-\dfrac{4}{7}           [\because m_1=\dfrac{7}{4}]

Now, the slope of perpendicular line is m_2=\dfrac{4}{7} and it goes through (-21,2). So, the equation of line is

y-y_1=m_2(x-x_1)

y-2=-\dfrac{4}{7}(x-(-21))

y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)

y-2=-\dfrac{4}{7}x-12

y=-\dfrac{4}{7}x-12+2

y=-\dfrac{4}{7}x-10

Therefore, the required equation in slope intercept form is y=-\dfrac{4}{7}x-10.

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Write the number below in expanded notation 75,966
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Please help meh on this for points and brainliest​
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Answer:

13 is two and two thirds of four and seven eighths.

Step-by-step explanation:

To solve this, all you need to do is divide 13 by 2 and two thirds.  Let's do it:

13 \div 2\frac{2}{3}\\= 13 \div \frac{8}{3}\\= 13 \times \frac{3}{8}\\= \frac{13 \times 3}{8}\\= \frac{39}{8}\\= 4\frac{7}{8}

3 0
3 years ago
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