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lubasha [3.4K]
3 years ago
14

What are the coordinates of the image (-3,-1) after a 90 counterclock wise e about the orgin and then translation 4 units up

Mathematics
1 answer:
katovenus [111]3 years ago
5 0

1. The counterclockwise rotation by 90° about the origin has rule:

(x,y)→(-y,x).

Then

(-3,-1)→(1,-3).

2. Translation 4 units up has rule:

(x,y)→(x,y+4).

Then

(1,-3)→(1,1).

Answer: after composition of transformations the image point has coordinates (1,1).

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Jennifer wrote the expression: (2x3 + 3x2 + 2x – 4) – (x3 – 2x2 – x – 1). What is the simplified form of this expression?
Brums [2.3K]
We have

2x³+3x²+2x-4-(x³-2x²-x-1). Using the distributive property, we get 
2x³+3x²+2x-4-x³+2x²+x+1
Adding and subtracting like terms (e.g. x³+3x³=4x³), we get 
x³+5x²+3x+3
6 0
3 years ago
John has gross biweekly earnings of $743.61. By claiming 1 more withholding allowance, John would have $19 more in his take home
Afina-wow [57]

Answer:

Total withholding allowances are 39.

Step-by-step explanation:

Given the gross earning of John = $743.61

It is given that 1 withholding allowance = $19

Now we have to find the total number of withholding allowances. Here, the number of withholding allowances can be determined by dividing the total earnings with $19.

Number of withholding allowances = 743.61 / 19 = 39.14 or 39 (round off).

4 0
3 years ago
Can someone please explain to me how to calculate this?
Margaret [11]

Answer: you have to add 427.50+115 and that would give you your answer of 542.50

Step-by-step explanation:

8 0
3 years ago
A 60-row theater has 20 seats in the front row. The second row has 21 seats. If each row has one more than the row in front of i
Aloiza [94]

The first row has 20 + 0 seats, the 2nd row, 20 + 1, 3rd row 20 + 2 . . . until 60th row has 20 + 59 (not 60 as the first row had 0 added on.

therefore you need to add up 20 + 21 + 22 . . . all the way to 76, 77, 78, 79.

79+ 21 = 100, 78 + 22 = 100, 77+ 23 = 100, in fact up to 49 + 51 = 100

That gives us 39 x 100 and add on the the other rows + 20 + 50

= 3970 seats

3 0
4 years ago
Read 2 more answers
If the equation of a function is a rational expression, the function is rational. A. True B. False
AVprozaik [17]

Answer:

I think the answer might be A. True

Step-by-step explanation:

...

6 0
2 years ago
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