3 years ago

Translate this sentence into an equation

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

Answer:

59 = 16 + d

Step-by-step explanation:

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A building has a perimeter of 112 meters. Its area is 735 square meters. What are the dimensions of the building?

PSYCHO15rus [73]

The width is 35 meters and the length is 21 meters.

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3 years ago

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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3 years ago

Pls help this is due tomorrow and my teacher doesn't accept late work.

Diano4ka-milaya [45]

Answer:

62.5inches because if it has to be shorter than 63.5 inches tall it would be 62.5inches tall

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3 years ago

Rami has swimming lessons every 3 days and guitar lessons every 8 days. If he has both lessons on the first day of the month, in

Vesnalui [34]

Answer:

Day 24.

Step-by-step explanation:

Where 3 and 8 have a common multiple will be the day they meet. The multiples of 3 are 1, 3, 6, 9, 12, 15, 18, 21, 24, 27. The multiples of 8 are 1, 8, 16, 24, 32. 24 is a multiple of both. Rami will have both on day 24.

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3 years ago

Sandy's orchard has only apple trees and pear trees and she is wanting to add some avocado trees. Currently, there are 4 apple t

BabaBlast [244]

3.666666666666667 apple trees for every one avocado tree

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3 years ago