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love history [14]
3 years ago
5

A parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2). What are the coordinates of parallelogram A′B′C′D′ afte

r a 180° rotation about the origin and a translation 5 units to the right and 1 unit down?
Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0
A=(-1,-1)
B=(-5,-4)
C=(-7,-1)
D=(-3,2)
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The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the
Vitek1552 [10]

Answer: 4 pairs

Step-by-step explanation:

Given

Profit on selling 'x' pairs of shoes is P(x)=-4x^2+32x-39

Find the derivative of the function to find out the critical points

\Rightarrow -8x+32=0\\\Rightarrow x=4

Thus, for 4 pair of shoes profit is maximize.

5 0
3 years ago
Which runs faster: a cheetah that can run 60 feet in 6 seconds or a gazelle that can run 100 feet in 10 seconds?
bulgar [2K]

Answer:

They run at the same speed

Step-by-step explanation:

First, you have to find a way seeing how fast both animals run in the same amount of time. You can find out how fast they both run in one second.

60 feet in 6 seconds is how many feet in one second? Well, you can do 60/6 (60 divided by 6) and you will see that in one second, the cheetah can run 10 feet

100 feet in 10 seconds is how many feet in one second? Same thing, you can do 100/10 (100 divided by 10) and you will see that the gazelle can run 10 feet in one second.

Finally, you compare the two answers from the two animals. For the cheetah, we learned that it can run 10 feet in one second, and for the gazelle, we learned that it can run 10 feet in one second. So, we know that they run at the same speed.

Thank you! Please let me know if this was helpful!

5 0
3 years ago
Read 2 more answers
OF bisects EOF. EOF=y+30 and FOG=3y-50. solve for y.
Alexeev081 [22]

It always helps to draw a picture. Given the information, Segment OF is the center line that is bisecting this angle.

Since it's bisecting (cutting in half)... we can simply set the two angles equal to each other.

y+30=3y-50
-2y+30=-50
-2y=-80
y = 40

C)40.
3 0
3 years ago
Choose the verbal descriptions that would best be modeled by polynomial functions. (Able to pick more than one)
mafiozo [28]

Answer:

i think it is AAAAA

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which statement is true about the factorization of 30x2+40xy+51y2
icang [17]
The complete question is
Which statement is true about the factorization of 30x² + 40xy + 51y²<span>?

A. The factorization of the polynomial is 10(3x2 + 4xy + 5y2).
B. The polynomial can be rewritten as the product of a trinomial and xy.
C. The greatest common factor of the polynomial is 51x2y2.
D. The polynomial is prime, and the greatest common factor of the terms is 1.

we know that

case A) </span>is not right because 10 is not a common factor of the three terms.
case B) is not right because the original polynomial is already a trinomial
case C) is not right because the terms do not contain 51x^2y^2
<span>case D) is right 
because
</span><span>Factors of 30 are-----> 1,2,3,5,6,10,15,30
</span>Factors of 40 are-----> 1,2,4,5,8,10,20,40
Factors of 51 are-----> 1,51
<span>so
</span><span>The "Greatest Common Factor" is the largest of the common factors
</span><span>the GFC is 1

therefore

the answer is the option
</span>D. The polynomial is prime, and the greatest common factor of the terms is 1<span>



</span>
8 0
3 years ago
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