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3 years ago

Translate the triangle 4 units right and 3 units down. What are the coordinates of the image?

Mathematics

1 answer:

Sauron [17]3 years ago

7 0

If we translated the triangle 4 units right and 3 units down, then our new points would be J' (3,0) K' (3,-2) L' (0,-2). Hope this helped!

-TTL

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How do you convert 21.76 into a fraction

Bezzdna [24]

Answer:

21 19/25

Step-by-step explanation:

21 76/100

divide 76 and 100 by 4

21 19/25

4 0

3 years ago

How long would it take you to double your money is the bank pays 3.6% interest, compounded

Lapatulllka [165]

Answer:

$t=19.25\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x$

substitute in the formula above

$2x=x(e)^{0.036t}$

solve for t

simplify

$2=(e)^{0.036t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.036t}]$

Applying property of exponents

$ln(2)=[0.036t]ln(e)$

Remember that ln(e) =1

$ln(2)=[0.036t]$

$t=ln(2)/[0.036]$

$t=19.25\ years$

7 0

3 years ago

A small garden measures 8 ft by 7 ft. A uniform border around the garden increases the total area to 110 ft 2. What is the width

Alik [6]

Answer: 3

Step-by-step explanation:

You can answer this question by using the equation

(8+x)(7+x)=110

The x represents the width, as we do not know the area. If you simplify the equation, it becomes 56+15x+x2=110.

If you move all the terms to the left side, and rearrange it, it can become x^2+15x-54=0

This can be simplified into (x-3)(x+18)=0

This equation makes it so that x is either 3 or -18. It is not possible for a width to be -18, so the width must be 3.

8 0

3 years ago

Simplify 5^2 • 5^4<br> O A. 5^8<br> O B. 5^6<br> O C. 5•8<br> O D. 5^2

amid [387]

Answer:

Option B

Step-by-step explanation:

Given the following question:

$5^2\times5^4$

In order to find the answer, we simply apply the exponent rule and add the exponents.

$5^2\times5^4$
$2+4=6$
$=5^6$

The answer is option B or "5^6."

Hope this helps.

6 0

2 years ago

On Thursday, the high temperature was 60 degrees Fahrenheit. On Friday, the high was 72 degrees Fahrenheit

disa [49]

Answer: 120 percent increase

Step-by-step explanation:

72/60 = 1.2

1.2 times is also 120 percent

3 0

2 years ago