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guajiro [1.7K]
3 years ago
14

The vertices of figure BCDE have coordinates B(4, 4) , C(−4, 4), D(−4, −4) , and E(4, −4) . The vertices of figure B'C'D'E' have

coordinates B'(2, 6) , C′(−6, 6), D′(−6, −2) , and E′(2, −2) . Which transformation of ​ figure BCDE ​ produces ​ figure B'C'D'E' ​ ? a translation 2 units right and 2 units down a reflection across the x-axis a translation 2 units left and 2 units up a reflection across the y-axis
Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0
The transformation used was a translation because the numbers changed. Since the x is becoming a smaller number the figure is moving to the left and since the y is getting larger the figure is also moving up. So the answer is: translation, 2 units to the left and 2 units up
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Point O is the center of the circle. What is the value of x?
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How do u round decimals like 18.194 rounded to the nearest hundred
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18.19 is the answer
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An amount of 1,500.00 is deposited in a bank paying an annual interest rate of 4.3% compounded quarterly. What is the balance af
defon

First, multiply the 1,500 by 4.3% to come up with $64.50 every three months (the question says compounded quarterly).

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8 0
3 years ago
The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar
Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) --->  the production cost, in thousands of dollars

we have

C(x)=-0.34x^{2} +12x+62

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> 0\leq x

The value of C(x) ----> C(x) < 75

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> 34.18 < x\leq 39.87

The value of C(x) ----> C(x) < 75

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

7 0
3 years ago
HELP AGAIN PLEASE I TRIED IT ON MY OWN AND FAILED :(
Alex787 [66]

Answer:  ∠ J = 62° , ∠ K = 59° , ∠ L = 59°

<u>Step-by-step explanation:</u>

It is given that it is an Isosceles Triangle, where L J ≅ K J

It follows that ∠ K ≅ ∠ L

         ⇒ 5x + 24 = 4x + 31

         ⇒   x + 24 =         31

         ⇒   x         =           7

Input the x-value into either equation to solve for  ∠ K &  ∠ L:

∠ K = 5x + 24

      = 5(7) + 24

      = 35 + 24

       = 59

∠ K ≅ ∠ L  ⇒   ∠ L = 59

Next, find the value of  ∠ J:

∠ J +  ∠ K +  ∠ L = 180    Triangle Sum Theorem

∠ J  +   59  +  59 = 180

∠ J          + 118     = 180

∠ J                       = 62

8 0
3 years ago
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