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nlexa [21]
2 years ago
5

On a coordinate plane, the pre-image is shifted 2 units to the right and 1 unit up. It is rotated 90 degrees counterclockwise.

Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0

Answer:B.

Step-by-step explanation:

B.a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin

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Factorize 9/16 x2 + xy + 4/9 y2
miskamm [114]
\frac{9}{16}  x^2 + xy +  \frac{4}{9}  y^2 =   (\frac{3}{4} x)^{2} + xy +  (\frac{2}{3}y)^{2} =  (\frac{3}{4} x)^{2} + 2*  \frac{3}{4} x *  \frac{2}{3}y +  (\frac{2}{3}y)^{2} = ( \frac{3}{4}x +  \frac{2}{3} y)^{2}
7 0
3 years ago
2) Marion deposited $12,000 into her saving account for 10 years with simple annual interest rate of 5%. Cameron deposited $12,0
morpeh [17]

Answer:

Marion’s account will have $237 more at the end of 10 years

Step-by-step explanation:

Firstly, we calculate the amount that will be in Marion’s account after 10 years.

To calculate this, we use the formula for simple interest

I = PRT/100

where I is the interest accrued for the period of years

P is the amount deposited = $12,000

R is the rate = 5%

T is the time which is 10 years

Plugging these values into the equation

I = (12,000 * 5 * 10)/100 = $6,000

The amount after 10 years is thus the sum of the amount deposited and the interest accured = $12,000 + $6,000 = $18,000

Now for Cameron, we use the compound interest formula

A = P(1+r/n)^nt

Where A is the amount in the account after the number of years

P is the amount deposited = $12,000

r is the interest rate = 4% = 4/100 = 0.04

n is the number of times per year the interest is compounded. Since it is annually, n = 1

t is the time which is 10 years

We plug these values and we have;

A = 12,000(1 + 0.04/1)^(1 * 10)

A = 12,000 (1.04)^10

A = $17,763 ( to the nearest whole dollars)

Since 18,000 is greater than 17,763, the amount in Marion’s account will be greater at an amount of (18,000 - 17,763) = $237

6 0
3 years ago
A hackberry tree has roots that reach a depth of
Degger [83]

Answer:

24.6967 meters

Step-by-step explanation:

The roots of the tree go 6 and 5 over 12 meters below the ground level.

Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.

Again the top of the tree is 18.28 meters high from the ground level.

Therefore, the total height of the tree from the bottom of the root to the top is  

(6.4167 +18.28) = 24.6967 meters (Answer)

5 0
3 years ago
Malia works at a movie theater and is paid hourly. One month, she earned $388.80. The total amount she earns can be found using
Georgia [21]
Malia : y = 8.1x.....this tells me she makes 8.10 per hr worked

Bill : if he earned 144.90 for working 18 hrs.....144.90/18 = 8.05 per hr worked.

so Malia makes 5 cents more per hr worked.

Is that the answer ur looking for ?
4 0
3 years ago
Read 2 more answers
3 ice cream cones cost $5.25. At this rate, how much do 2 ice cream cones cost?
Shkiper50 [21]

Answer:

3.5

Step-by-step explanation: Just trust sweetie

7 0
3 years ago
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