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3 years ago

PLEASEEE HELP ME!!! I NEED THE ANWER ASAP!!!

Mathematics

1 answer:

Artist 52 [7]3 years ago

5 0

Answer:

y = 3x + 30

Step-by-step explanation:

This is what the table should look like.

Number of Bars Sold (x) Total Earnings (dollars) (y)

0 30

1 33

2 36

3 39

When x = 0, y = 30. The point (0, 30) is the y-intercept.

As x goes up by 1, from 0 to 1, from 1 to 2, from 2 to 3, y goes up by 3, from 30 to 33, from 33 to 36, from 36 to 39.

A change of 1 in x results in a change of 3 in y.

That is a slope of 3 since

slope = (change in y)/(change in x)

The equation of a line in slope-intercept form is

y = mx + b

We have m = 3 and b = 30, so the equation is

y = 3x + 30

Answer: 3x + 30

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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

Explanation

Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

Length of the side AC (b) $= \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}$

Length of the side AB (c) $= \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}$

We need to find ∠ABC or ∠B . So using Cosine rule, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$

So, the measure of angle ABC is 45°

7 0

3 years ago

Read 2 more answers

<5 is a supplementary of <6 , and m<5=78 , find m<6

irakobra [83]

Answer:

m<6 is 102°

Step-by-step explanation:

Angles that are supplementary are equal to a total of 180°.

Subtract the 78 from the 180 to find your answer.

180-78=102

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