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Rectangle FGHJ is transformed according to the rule T(–3, –2)ry = x. What is the y-coordinate of J”?

irga5000 [103]

We have that
the point J (10,-6)
the rule is-----------(x,y)-------------------> (x-3, y-2)
therefore
J (10,-6)----------------- > (10-3,-6-2)--------> (7,-8)

the answer is
the y-coordinate of J” is -8

8 0

3 years ago

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Which of the following equations is the translation 2 units left of the graph of y = |x|?

nignag [31]

Answer:

The correct option is 1.

Step-by-step explanation:

The given function is

$y=|x|$

It is an absolute function. The transformation of function is defined as

$y=|x+a|+b$

Where, a is horizontal shift and b is vertical shift.

If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.

If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.

If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.

The required function is

$y=|x+2|+0$

$y=|x+2|$

Therefore the correct option is 1.

6 0

3 years ago

An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s

marin [14]

Answer:

The surface area of the tower is 5,218.1 m²

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

Surface area of the tower = 5,218.1 m²

4 0

3 years ago

Suppose you discover that your growth fund, income fund, and money market fund return

Alik [6]

Answer:−3+3=−4

2+3−=15

4−3−=19

2 3

Step 1: Pair the equations to eliminate y because the y terms are already additive inverses

1

−3+3=−4

2+3−=15

2

2+3−=15

4−3−=19

2 3 4

3 =11

5

6 −2=34

Step 2: Write the two new equations

as a system

Step 3: Substitute the value for x and z

into one of the original equations

3 =11

3 5 +2=11

4

5−3+3 −2 =−4

15+2=11

5

6 −2=34

5−3−6=−4

−3−1=−4

9x

2=−4

=−2

= 45

x = 5

−3=−3

=1

The solution (5, 1, -2)

Step-by-step explanation:

3 0

3 years ago

Fifty six plus blank equals five hundred and four six

anzhelika [568]

Answer:

490

Step-by-step explanation:

546-56= 490

490+56= 546

4 0

3 years ago

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