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ValentinkaMS [17]
3 years ago
9

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

Mathematics
1 answer:
nignag [31]3 years ago
6 0

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.

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If the measure of DAC is x and the measure of CAB is (2x – 30), what is the value of x? (HINT** remember how we label angles, th
Scorpion4ik [409]

Answer:

b

Step-by-step explanation:

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3 years ago
Find the area of the trapezoid to the nearest tenth.
erica [24]

Answer:

2.2 metres squared

Step-by-step explanation:

We need to find the area of this trapezoid.

The area of a trapezoid is denoted by:

A=\frac{(b_1+b_2)h}{2}, where b_1 and b_2 are the parallel bases and h is the height

Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.

Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:

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The answer is thus 2.2 metres squared.

<em>~ an aesthetics lover</em>

8 0
3 years ago
Solve for X: 1/2(4+X)+2=16
Zanzabum
1/2(4+X)+2=16
2+(0.5 x X) + 2 = 16
4 + (0.5 x X) = 16
0.5 x X = 12
X = 24

idk if u understand my working out - message me if u dont
hope it helped tho :)
5 0
3 years ago
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