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Marrrta [24]
3 years ago
13

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?

Mathematics
2 answers:
Mashutka [201]3 years ago
7 0

1. Consider the transformation that maps the graph of the function y=(x+2)^2 into the graph of the function y=x^2. This transmormation has a rule:

(x,y)→(x+2,y)

that is translation 2 units to the right.

2. Consider the transformation that maps the graph of the function y=x^2 into the graph of the function y=x^2+3. This transformation has a rule:

(x,y)→(x,y+3)

that is translation 3 units up.

Answer: correct choice is C.

saul85 [17]3 years ago
5 0
C looks like the right answer
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By decomposing the figure in simpler shapes, we will see that the total area is:

a = 180 cm²

<h3>How to find the area of the composite figure?</h3>

Remember that the area of a rectangle of width W and length L is:

A = L*W

And the area of a triangle with base B and height H is:

A = B*H/2.

Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.

So the area of that part is:

A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²

Now, the bottom triangle has a base of 12 cm, and a height of:

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Then its area is:

A' = 12cm*9cm/2 = 54cm²

This means that the total area of the figure is:

total area = 54cm² + 54cm² = 108cm²

If you want to learn more about area:

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2 years ago
9/11 of a number is 36. What is the number?
mina [271]

Answer:

44

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8 0
3 years ago
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Step-by-step explanation:

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polet [3.4K]

Answer:

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Step-by-step explanation:

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Vusi makes bead bracelets in different designs. The first design uses 23 beads, the second design uses 29 beads and the third de
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When the remainder theorem is applied to the total number of beads, the number of beads left is 3

<h3>What is remainder theorem?</h3>

The question is an illustration of remainder theorem. Remainder theorem is used to determine the remainder when a number divides another

The number of beads used in each design are given as:

First = 23

Second = 29

Third = 31

Calculate the total number of beads used for all three designs

Total =First + Second + Third

Total =23 + 29 + 31

Total =83

The number of available beads is:

Available = 750

Divide 750 by 83, to get the total number of designs

n = \frac{750}{83}

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n = 9

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Remaining =Available -n \times Total

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