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stira [4]
2 years ago
8

Help. How to solve this equation.

Mathematics
2 answers:
alina1380 [7]2 years ago
7 0

Answer:

x = 10

Step-by-step explanation:

\frac{x-8}{2} = \frac{x-5}{5} ( cross- multiply )

5(x - 8) = 2(x - 5) ← distribute parenthesis on both sides

5x - 40 = 2x - 10 ( subtract 2x from both sides )

3x - 40 = - 10 ( add 40 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

ale4655 [162]2 years ago
4 0

Step-by-step explanation:

x-8/2 = x-5/5

5(x-8) = 2(x-5)

5x-40 = 2x-10

3x= 30

x = 10

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What is the equation in slope-intercept form of the line
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Answer:

y = (-4/3)x + 4  

Step-by-step explanation:

Let y = mx + b, be the equation of the line in slope intercept form where we need to find m and b.

Perpendicular to y = (3/4)x - 5, means that m = - (1 / (3/4) ) = - 4/3

So, at this point, y = (-4/3)x + b.

Crossing the x - axis at 3 means that (3, 0) is a point on the line, where we note that x=3 and y=0.

Thus, we plug in these values into the equation y = (-4/3)x + b, to get

0 = (-4/3)(3) + b

0 = -4 + b, so that

b = 4.

Hence, the answer is:

y = (-4/3)x + 4

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Read 2 more answers
Divide 72 in a ratio of 3:5
Keith_Richards [23]
The ratio is 3:5.
\frac{x}{y}=\frac{3}{5} \ \ \ |\hbox{cross multiply} \\
5x=3y \ \ \ |\div 5 \\
x=\frac{3}{5}y

You have to divide 72, so the sum of x and y is 72.
x+y=72 \ \ \ |-y \\
x=72-y

Set both expressions equal to each other:
x=x \\
\frac{3}{5}y=72-y \ \ \ |\times 5 \\ 
3y=360-5y \ \ \ |+5y \\
8y=360 \ \ \ |\div 8 \\
y=45 \\ \\
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72 divided in a ratio of 3:5 is 27:45.
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Answer:

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Step-by-step explanation:

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