If a line is perpendicular to a line segment what angle do they form at their intersection

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:

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

3 0

3 years ago

Read 2 more answers

Maria wants to buy a car that costs $2,000 She starts with 5600 in her savings account and adds to the account every week. The g

abruzzese [7]

Answer:

4

Step-by-step explanation:

i just did the same test its 4

3 0

2 years ago

A train travelled 275 km in 2.5 hours how fast will the train go in an hour?

mylen [45]

Answer: 110 mph

Step-by-step explanation: 275 / 2.5 = 110 mph

5 0

3 years ago

Helpppppppppppppppppppppppppppppppp 50 points will give brainlyest to who answers first

denis23 [38]

Answer:

boom I hope this was the right thing

Step-by-step explanation:

i went on your profile thing yep

8 0

2 years ago

Read 2 more answers

Pls someone help these answers are on chegg so if u have a subscription pls answer these ill make u brainliest ! Below is a tabl

aivan3 [116]

The table is not clear, so i have attached it.

Answer:

z statistic is -2.26

This is less than our alpha level,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans

Step-by-step explanation:

From the attached table, we can see that;

first-generation hispanic americans; (N = 899 and percentage = 43%

second-generation hispanic americans; N = 351 and percentage = 50%

first-generation asian americans; (N = 2,684 and percentage = 58%

second-generation asian americans; N = 566 and percentage = 51%

Z-score formula in this case is;

z = (p1^ - p2^)/(√(p^(1 - p^)((1/n1) + (1/n2))

Where;

p^ = (p1 + p2)/(n1 + n2)

For, hispanic americans we have;

p1^ = 0.43 × 899 = 386.57

p2^ = 0.5 × 351 = 175.5

p^ = (386.57 + 175.5)/(899 + 351)

p^ = 0.45

Thus;

z = (0.43 - 0.5)/(√(0.45(1 - 0.45)((1/899) + (1/351))

z = -2.26

From z-distribution table, we have;

P-value = 0.01191

Since we have 2 samples, then probability = 2 × 0.01191 = 0.02382

This is less than our alpha level of 0.05,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans.

3 0

3 years ago