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JulijaS [17]
2 years ago
9

Draw the image of ABC△ under a translation by 5 units to the left.

Mathematics
1 answer:
tekilochka [14]2 years ago
4 0

Since you don't have a picture to go with this, I'll try to explain it the best I can. Each point in the shape you have to translate will move to the left 5 units. We would use (x, y) to figure out how to move it. Whatever number is in the x place in (x, y) will be decreased by 5. For example, if there was a point on (6, 3) and I had to translate it 5 units left, I would just do 6 - 5 and my answer would be (1, 3). Then you can do that for each point.

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Miss Alison drew a box and whisker plot to represent her students scores on a midterm test. James received 47 on the test. How d
Andru [333]

Answer:

81 is the Q3 72 IS IN THE MDDLE 47 IS Q1 THE MAX IS 96 AND THE MIN IS44

Step-by-step explanation:

81 is the Q3 72 IS IN THE MDDLE 47 IS Q1 THE MAX IS 96 AND THE MIN IS 44 I HOP THIS HELPS

3 0
3 years ago
The value of 4x^2-5 when x=3
Veseljchak [2.6K]

Answer:

31

Step-by-step explanation:

Plug in 3 for x in the expression:

4(3²) - 5

Note that there are no parenthesis (other than the one I added, to make it easier for you. Follow the order of operations, PEMDAS. PEMDAS = Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction, and the left -> right rule.

First, solve the exponent:

4(3²) - 5 = 4(3 * 3) - 5 = 4(9) - 5

Next, solve the multiplication:

4(9) - 5 = 36 - 5

Finally, subtract:

36 - 5 = 31

31 is your answer.

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7 0
3 years ago
Read 2 more answers
Let P be a non zero polynomial such that P(1+x)=P(1−x) for all real x, and P(1)=0. Let m be the largest integer such that (x−1)
marin [14]

Answer:

m = 0, P(3)/2, P(4)/6, P(5)/12 ..........

Step-by-step explanation:

For non zero polynomial, that is all real x as follows:

x = 1, 2, 3, 4 ............

Using, P(1 + x) = P(1 - x)

For x = 1: P(2) = P(0) = 1

For x = 2: P(3) = P(-1) = 2

Hence, P(x)/m(x - 1) can be solved as follows:

When = 1

P(2)/0 = 1

∴ m = 0

When x = 2

P(3)/m = 2

∴ m = P(3)/2

When x = 3

P(4)/2m = 3

∴ m = P(4)/6

When x = 4

P(5)/3m =  4

∴ m = P(5)/12

Hence, m = 0, P(3)/2, P(4)/6, P(5)/12......

4 0
3 years ago
If one table and two lamps cost $88, and two
Paul [167]

Answer:

One lamp is equal to 23 dollars

One table is equal to 42 dollars.

Step-by-step explanation:

We can solve this by first organizing what we have.

1 table (t) + 2 lamps (l) = 88.

2 tables (t) + 3 lamps (l) = 153.

_____________

===============

1t + 2l = 88

2t + 3l = 153

===============

-------------------------

If we multiply both sides by 2 on the first equation of

1t + 2l = 88

we could get

2t + 4l = 176.

If that is true, we can subtract the second equation of

2t + 3l = 153 from the new equation to get the price of a lamp.

    2t + 4l = 176

-    2t + 3l = 153

____________

= 0t + l = 23

One lamp is equal to 23.

We can check this by plugging it into an equation.

1 + 2(23) = 88

1t + 46 = 88

1t + 46 - 46 = 88 - 46

1t = 42

If one table equals 42, we can put this back into the second equation to check.

2 (42) + 3 (23) = 153

84 + 69 = 153

That is correct.

Another way to solve is to put this like a system of equations in a graph, by replacing "t" by "x" for example, and "l" by y.

Then you could put it into a graphing calculator and solve by looking for the place where the two lines converge or meet.

Since we put "x" for "t", that means that whatever the x-value is on the solution point, that is the cost of a table, and the y-value is the cost of the lamps.

Another way to solve, is to find the unit rate first by subtracting the first equation from the second equation.

    2t + 3l = 153

 -  1t + 2l = 88

____________

= t + l = 65

If t + l = 65, we can rearrange that equation to be something like t = 65 - l.

That means "t" is equal to 65 bucks minus a lamp.

We put this back into the first equation of

1t + 2l = 88

and replace "t" with the previous expression.

1(65 - l) + 2l = 88

Simplify/distributive property

65 - l + 2l = 88

65 - 65 - l + 2l = 88 - 65

-l + 2l = 23

l = 23

One lamp is equal to 23 bucks.

Confirmed :)

5 0
3 years ago
Read 2 more answers
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julsineya [31]
From the given image, we can see that Angle 1 and Angle B are alternate angles. Using the information that these alternate angles Angle 1 and Angle B are equal, then we know from theorem that the line segments AD and BC are parallel. Therefore, the answer is AD ll BC.
7 0
3 years ago
Read 2 more answers
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