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3 years ago

Which transformations could be performed to show that

Mathematics

1 answer:

andre [41]3 years ago

3 0

Answer: a 180 degree rotation about the origin, then a dilation by a scale factor of 1/3

Step-by-step explanation:

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A line passes through the points (-1, -6) and (-4, 3). What is the equation of this line in slope-intercept form?

g100num [7]

Since we have two ordered pairs, we can find the slope by plugging them into (y2-y1)/(x2-x1) which translates to (3-(-6))/(-4-(-1))=9/-3=-3

Since the slope is -3, we have the equation y=-3x+b, but we don't know b. So we plug in values for x and y and solve for b.

-6=-3(-1)+b

-6=3+b

-9=b

So the y-intercept is -9 and the full equation is y=-3x-9 which means A is the only correct answer.

Hope this helped!

4 0

4 years ago

21,28,35 determine whether the triangle is acute, right,obtuse, or not a triangle.

Sav [38]

Answer:

I believe it is an acute triangle but im not 100% sure

Step-by-step explanation:

4 0

3 years ago

There are 2125 seats in a stadium the stadium is divided into 25 sections how many seats are in each section

Fofino [41]

There are 85 seats in each section. 2125 divided by 25 is 85.

4 0

3 years ago

What is the value of the expression (-8)(6) - (-4)(-5) + (-3)(-6)?

Vlad1618 [11]

-77 is the correct answer. Hope this helped. Comment if you would like a more detailed answer.

5 0

4 years ago

Find the 76th term of the arithmetic sequence 17, 19, 21, ...

Dominik [7]

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

$^{a}n = ^{a}1 (n - 1)d$

Since we want to determine the 76th term, we are going

to substitute 76 in for <em>n</em> in our explicit formula.

Then, $^{a}1$ will be our first term in our sequence which is 17.

Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have $^{a} 76 = 17 + (76 - 1)(2)$ .

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have $^{a} 76 = 17 + (75)(2)$ .

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have $^{a} 76 = 17 + 150$ .

Now just add to find that $^{a} 76 = 167$ .

So the 76th term is 167.

5 0

3 years ago