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4 years ago

7

The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters.

1 answer:

Blizzard [7]4 years ago

6 0

I m pretty sure it's 1

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Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

natka813 [3]

ANSWER

$( \frac{2}{3} , \frac{1}{5} )$

EXPLANATION

The first equation is

$\frac{1}{2} x - \frac{3}{4} y = \frac{11}{60} ...(1)$

The second equation is

$\frac{2}{5} x + \frac{1}{6} y = \frac{3}{10} ...(2)$

We want to eliminate y, so we multiply the first equation by

$\frac{4}{5}$

$\frac{4}{5} \times \frac{1}{2} x - \frac{4}{5} \times \frac{3}{4} y = \frac{11}{60} \times \frac{4}{5}$

$\frac{2}{5} x - \frac{3}{5} y = \frac{11}{75} ...(3)$

We now subtract equation (3) from (2)

$(\frac{2}{3} x - \frac{2}{3} x )+ ( \frac{1}{6} y - - \frac{3}{5}y ) =( \frac{3}{10} - \frac{11}{75} )$

$\frac{1}{6} y + \frac{3}{5}y =\frac{3}{10} - \frac{11}{75}$

$\frac{23}{30}y = \frac{23}{150}$

Multiply both sides by

$\frac{30}{23}$

$\implies \: \frac{30}{23} \times \frac{23}{30}y= \frac{23}{150} \times \frac{30}{23}$

$\implies \: y = \frac{1}{5}$

Substitute into the first equation to solve for x .

$\frac{1}{2} x - \frac{3}{4} \times \frac{1}{5} = \frac{11}{60}$

Multiply to obtain

$\frac{1}{2} x - \frac{3}{20} = \frac{11}{60}$

$\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}$

$\frac{1}{2} x = \frac{1}{3}$

Multiply both sides by 2.

$2 \times \frac{1}{2} x =2 \times \frac{1}{3}$

$x = \frac{2}{3}$

The solution is

$( \frac{2}{3} , \frac{1}{5} )$

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3 years ago

Read 2 more answers

mr Goodwill [35]

Need to take 25 mg times 18% then times it by 4 then times it again by .01

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4 years ago

What is the sum of x+y when x = –9.1 and y = 5.6?

vovangra [49]

$Subtitute\ the\ values\ of\ x=-9.1\\and\ y=5.6\ to\ the\ expression\ x+y:\\\\x+y=-9.1+5.6\\---------\\use\ commutative\ property:a+b=b+a\\\----------\\\\=5.6+(-9.1)=5.6-9.1=\huge\boxed{-3.5}$

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4 years ago

Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)?

Viktor [21]

Answer:

B

Step-by-step explanation:

The slope of the line that passes through the given points is (4-7)/(-3-1) = 3/4.

Since parallel lines have equivalent slopes, the answer is B.

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At a bargain store, Beast Boy bought 5 items that each cost the same amount. Cyborg bought 8 items that

Eduardwww [97]

Answer:

slow down plz

Step-by-step explanation:

there ain't no way that is ur work

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3 years ago