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Verdich [7]
2 years ago
5

What sequence of rigid transformations takes figure C to figure D?

Mathematics
1 answer:
Nutka1998 [239]2 years ago
8 0

Answer:

D

Step-by-step explanation:

Hope this helps :)

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On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negat
klasskru [66]

Answer:

Option A) They are parallel because their slopes are equal.

Step-by-step explanation:

We are given the following in the question:

Line AB:

(-4, -2), (4,4)

Line CD:

(0,-3), (4,0)

Formula to calculate slope =

(x_1, y_1), (x_2, y_2)\\\\\\text{Slope} = m = \dfrac{y_2 - y_1}{x_2 - x_1}

Slope of AB =

(-4, -2), (4,4)\\\\m_{AB} = \dfrac{4-(-2)}{4-(-4)} = \dfrac{6}{8} = \dfrac{3}{4}

Slope of CD =

(0,-3), (4,0)\\\\m_{CD} = \dfrac{0-(-3)}{4-0} = \dfrac{3}{4}

Thus,

m_{AB} = m_{CD}

Thus, the two lines are parallel.

Option A) They are parallel because their slopes are equal.

3 0
2 years ago
Read 2 more answers
A moving van changes a flat rate of $25 per day plus $0.12 per mile for every mile over 100 driven.If Millie’s bill was $29.46 h
Damm [24]

Answer: 137.17 miles

Step-by-step explanation: To know the driven miles, we will have to find the extra money paid divided by the unitary price of each driven mile.

Extra money=$29.46-$25=$4.46

Miles=\frac{4.46}{0.12}=31.17 miles

However, this price per mile is only charged after 100 miles, therefore we will have to sum the extra miles driven and the 100 miles for the basis

Total=100 miles+31.17 miles=137.17

5 0
3 years ago
Pls help these are due TODAY!!!!
Tamiku [17]

Answer:

10

Step-by-step explanation:

the two triangles formed from c are similar which means the sides are proportional

the proportion of one length of a side of a triangle to a similar side of the other triangle is the same as another side to its corresponding side of the other triangle. god im bad explaining stuff

anyway 2 is to 8 what 2.5 is to length BC. 2/8 = 2.5/x

    -crossmultiplyyy

2*x = 2.5*8

2x = 20

2x/2 = 20/2

x = 10

5 0
3 years ago
Sarah bought 7 more songs than Betsy.If Sarah bought 21 songs from Apple Music, how many songs did Betsy buy?
kipiarov [429]
21-7 = 14
Betsy buy 14
4 0
3 years ago
Can someone help me with this? I need to find the points of discontinuity/limits for each of these. I think one point is 4, but
Debora [2.8K]
The answers are shown in the attached image

-------------------------------------------------------------------------

Explanation:

Set the denominator x^4-8x^3+16x^2 equal to zero and solve for x

x^4-8x^3+16x^2 = 0
x^2(x^2-8x+16) = 0
x^2(x-4)^2 = 0
x^2 = 0 or (x-4)^2 = 0
x = 0 or x-4 = 0
x = 0 or x = 4

The x values 0 and 4 make the denominator zero

These x values lead to asymptote discontinuities because the numerator 8x-24 = 8(x-3) has no common factors which cancel with the denominator factors.

There are two vertical asymptotes

Let's see what happens when we plug in a value to the left of x = 0, say x = -1, we'd get
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(-1) = (8(-1)-24)/((-1)^4-8(-1)^3+16(-1)^2)
f(-1) = -1.28
So as x gets closer and closer to x = 0 from the left side, the f(x) is heading to negative infinity

Now plug in some value to the right of x = 0. I'm going to pick x = 1
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(1) = (8(1)-24)/((1)^4-8(1)^3+16(1)^2)
f(1) = -1.78 (approximate)
So as x gets closer and closer to x = 0 from the right side, the f(x) is heading to negative infinity

Overall, as x approaches 0 from either the left or right side of x = 0, the y value is heading off to negative infinity

---------------------

Repeat for values to the left and right of x = 4
We can't use x = 1 as it turns out that x = 3 is a root
But we can use something like x = 3.5 to find that...
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(3.5) = (8(3.5)-24)/((3.5)^4-8(3.5)^3+16(3.5)^2)
f(3.5) = 1.31 approx
So as x gets closer to x = 4 from the left, y is getting closer to positive infinity

Plug in x = 5 to find that
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(5) = (8(5)-24)/((5)^4-8(5)^3+16(5)^2)
f(5) = 0.64
which has the same behavior as the left side

So overall, as we approach x = 4, the y value is heading off to positive infinity

Again everything is summarized in the image attachment

Note: you could make a table of more values but they would effectively say what has already been said. It would be redundant busy work. However, its always good practice for function evaluation. 

6 0
2 years ago
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