Quadrilateral ABCD is located at A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x − 2, y + 8) to form the image A'B'C'D'. What are the new coordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.
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Related Questions
Factor the following expression... x^2 - 2x - 3
Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123 2 1 3, start fraction, 1, divided by, 2, end fraction minutes long. The slideshow is 31\dfrac1231 2 1 31, start fraction, 1, divided by, 2, end fraction minutes long.
10$ is spent on 2 big pails and 1 small one. A smail pail cosf half as much as each big one. How much is spent on a big pail? How much is speant on a small pail
How to solve this problem
Y=-2/3x+1
Y=3/2x+7
Y=-3/2x+7
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The line that is perpendicular to the given line, is:
y = (-3/2)*x + 7
How to get the perpendicular line?
Remember that two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other slope.
Here we start with the line:
y = (2/3)*x + 3
So the slope is 2/3.
The opposite of the inverse of that would be -(3/2). Then any line with a slope of -3/2 will be perpendicular to the given line. So we conclude that the correct option is:
Y = -(3/2)x+7
If you want to learn more about perpendicular lines:
#SPJ1
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Answer:
In this geometric series, a represents the first term, what he pays back monthly is the common ratio which is 1.2, and the first 30 payments are what is being used to find the total amount which is represented by n. Thus, a=$200, n=30 and r=1.2. The sum is found by sn=(a((r^n)-1))/(r-1), which will be 200((1.2^30)-1))/(1.2-1). The solution is = $ 236,376 and the series is divergent because of the common ratio being greater than 1.
Step-by-step explanation:
Hence, a = $ 200, n = 30 and r = 1.2.
The sum of a geometric sequence is given as:
Sn = (a((r^n)-1))/(r-1)
=(200((1.2^30)-1))/(1.2-1)
= $ 236, 376. 31
Explain why this series is convergent or divergent.
Since the common ratio, r, is greater than 1, the series is divergent
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When subtracting fractions with like denominators, you really only need to worry about the numerators. 9 - 1 = 8, so the answer is 8/10.
As we can see, both 8 and 10 are divisible by 2, so we can simplify the answer a bit.
8 / 2 = 4
10/ 2 = 5
The final simplified answer is 4/5.
Hope that helped =)
Now, we just have to subtract the numerators to get our new fraction.
But, our fraction is not in simplest form yet. We can find the GCF of 8 and 10 and then divide the numerator and denominator by it.
The GCF = 2, so now we can divide.
Gather the new numerator and denominator to get our simplified fraction.
The final result is: 4/5 or 0.8
A. x = 4
B. x = 5
C. x = 6
D. x = 25
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24=5x-1
2) add 1 to both sides
25=5x
3)divide by 5 to find x
x=5
B) x = 5
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Answer:
4.5 per package
Step-by-step explanation:
Though they give us 4 different pairs of values on the table, we only need 1 pair to solve this question. For simplicity, lets chose the pair of whole numbers:
54 : 12
This is the ration of servings to packages, or the servings per package.
To get our answer, we must find how many servings per 1 package, so we need to divide by 12:
=
4.5 : 1
This means that there are 4.5 servings per 1 package!
Hope this helps!