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Mathematics

1 answer:

Feliz [49]3 years ago

4 0

Answer:

slope = -170

y intercept = 1020

Step-by-step explanation:

the y intercept is given in the table which is 1020. it is 1020 because that is when x equals 0 according to the graph and the y intercept is where the slope crosses with the y axis. the y value in the table is going decreasing by 360 but the x value goes up by to so i divided 360 by 2 to find out how much the x value changes per 1 to get the formula which 360 divided by 2 is 170 so per ever increase in x y decreases by 170.

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In △ABC, the coordinates of vertices A and B are A(1,−1) and B(3,2). For each of the given coordinates of vertex C, is △ABC a ri

IrinaVladis [17]

Answer:

C(0,2) - Not A Right Angle

C(3,-1) - Right Angle

C(0,4) - Right Angle

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4 0

4 years ago

Read 2 more answers

sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project

alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

$\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min$