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Leto [7]
3 years ago
7

Write an equation for each translation of y=|x| 15.5 units down

Mathematics
2 answers:
Korolek [52]3 years ago
8 0
<span> y+15.5=|x|
</span><span> y=|x|-15.5 </span> 
Schach [20]3 years ago
7 0

Answer:

y=|x|-15

Step-by-step explanation:

The given function is

y=|x|

And we want to move it down 15.5 units.

Remember, when we translate functions, we need to pay attention the direction of the movement.

  • If we add units to y-variable, we are gonna move the function upwards.
  • If we subtract units to y-variable, we are gonna move the function downwards.

So, in this case, we need to subtract 15.5 units, to move the function downwards 15.5 units.

y=|x|\\y=|x|-15

You need to be carefule, if you subtract in side the absolute value, you are gonna be movind the function horizontally.

Therefore, the transformation of the given function is

y=|x|-15

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Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 3. (Input decimals only, such as 12.71, as the answer.
kondaur [170]

Answer:

87.92

Step-by-step explanation:

3.14(a²+ab)=

<em>Plugging in values for a and b</em>

3.14(4²+4×3)=

3.14(16+12)=

3.14(28)=

87.92

6 0
3 years ago
Read 2 more answers
Please I need this ASAP so can someone helpppppp
iris [78.8K]
AC = 8.9
BC = 6.5
(90% angle)
8.9 x 6.5 = <span>57.85
57.85/2 = 28.925
Area of ^ABC =  28.925 cm squared

DE = 55.1
55.1/ 11.02 = 5
DEF is 5 times as big as ABC
DF = 44.5
FE = 32.5
44.5 x 32.5 = 1446.25
1446.25/2 = 723.125
I am not positive but I believe DEF = 723.125 cm squared
Good Luck on the Test!! :D

</span>
7 0
3 years ago
Add. (15w - 6x) and (6x + 20w)​
Lynna [10]

Answer:

35w

Step-by-step explanation:

15w-6x+6x+20w

collect like terms

15w+20w-6x+6x

=35w

8 0
3 years ago
If the total surface area of a cube is 302.46ft2 what best describes the length of the side of the cube?​
12345 [234]

Answer:

7.1ft

Step-by-step explanation:

The formula for calculating the total surface area of a cube is 2(L²+L²+L²)

=2(3L²)

= 6L²

Where L is the length of the cube

If the total surface area of a cube is 302.46ft², then

302.46 = 6L²

L² = 302.46/6

L² = 50.41

L =√50.41

L = 7.1ft

The length of the side of the cube is 7.1ft

4 0
3 years ago
7. The government of Mexico declared blue sharks an endangered species. They put tags on 36 blue sharks and released them. Later
fenix001 [56]
The correct answer is 234
8 0
2 years ago
Read 2 more answers
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