The sum of marshall and williams ages is 27 . William is 7 years older than marshall . What is marshall age

Mathematics

1 answer:

Liula [17]3 years ago

4 0

Answer:

Step-by-step explanation: 17+10=27, 17-10=7

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if a line with an angle of inclination 120⁰ and passes trough (√3,1),then what is the equation of a line

yawa3891 [41]

Answer:

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Step-by-step explanation:

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3 years ago

A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio

Natali5045456 [20]

Answer:

y=-\frac{5}{3} x+\frac{10}{3} or what is the same: $5x+3y=10$

Step-by-step explanation:

First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: $slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}$

Now we use this slope in the general form of the slope- y_intercept of a line:

$y=-\frac{5}{3} x+b$

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

$y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}$

Therefore, the equation of the line in slope y_intercept form is:

$y=-\frac{5}{3} x+\frac{10}{3}$

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

$y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10$