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Leto [7]
2 years ago
7

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

Mathematics
2 answers:
Korolek [52]2 years ago
8 0
<span> y+15.5=|x|
</span><span> y=|x|-15.5 </span> 
Schach [20]2 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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Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
2 years ago
Both lines pass through the point (-3,-4). one has a slope of 4 and the other has a slope of -1/4
Alchen [17]
If the question is to find the slope-intercept form of both lines, here's the answer:
Both lines pass through the point (-3,-4), so we can use these coordinates in both equations. The slope-intercept form is represented by y=mx+b, with m the slope, b the intersection of the line with Y'Y for x=0, y and x the coordinates of a point.
Let's first apply all these for the first line, with a slope of 4.
y = mx + b
y=-3; x=-4; m=4. All we need to do is find b.
-3 = 4(-4) + b
-3 = -16 + b
b=13
So the equation of the first line is y= 4x + 13.

Now, we'll do the same thing but for the second line:
y=-3; x=-4; m=-1/4, and we need to find b.
-3 = (-1/4)(-4) + b
-3 = 1 + b
b= -4
So the equation of the second line is y=(-1/4)x - 4

Hope this Helps! :)
3 0
3 years ago
PLEASE I NEED HELP CLICK ON THIS IMAGE
lesantik [10]

Answer:

261

Step-by-step explanation:

I took each number and divided each of them by 9 until I got a whole number with no decimals.

261 ÷ 9 = 29

6 0
2 years ago
Please help got to get grade up
dusya [7]

Answer:

10

Step-by-step explanation:

The ratio of abc/def=1.5

15/1.5=10

if you have insta follow me if you want at riztofu

5 0
2 years ago
(Need asap plz)
Vikentia [17]

Step-by-step explanation:

add up all of the numbers in the five groups then divide the numbers by the number of numbers you have for example if the sum of all of those numbers is let's a 25 and you have 5 numbers you'll divide 25 by 5 and your men will be 5:00 and if the sum of the numbers was 30 and you have six numbers you'll / 30by6 then your answer then the mean will be six

7 0
2 years ago
Read 2 more answers
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