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Zanzabum
3 years ago
15

The verties of ABC are A(2 ,1) B (3,4) and C(1,3). If AB is translated 1 unit down and 3 units to the left to create DEF what ar

e the coordinates of the vertices of DEF ?

Mathematics
1 answer:
patriot [66]3 years ago
7 0

Answer:

The new coordinates will be D(1,3) E(0,3) and F(-1,0)

Step-by-step explanation:

As can be seen in the picture, points A and B are moved one point negative in the y-axis, and three in the x-axis. Point C and D will have the same coordinates to form the new triangle.

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andreyandreev [35.5K]

Answer:

if jack uses 10 cups of sugar he will need to use 6 tsp of vanilla extract

Step-by-step explanation:

10 devided by 2 1/2= 4

and 1/2 multiplied by 4 is 6

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3 years ago
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The length of the rectangular garden is 4 meters longer than the width. If the garden area is 60 square
rusak2 [61]

Step-by-step explanation:

Let x be the Width, and x+4 be the Length of the rectangle ; =>

Area = x*(x+4) = 60 ; =>

x^2 +4x - 60 = 0 ; Now solve the Quadratic equation using factoring to find x;

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5 0
2 years ago
Investigate the difference between compounding annually and simple interest
Gennadij [26K]

Step-by-step explanation:

Simple interest formula

A = P (1 + rt)

Compound interest formula

A = P(1 + \frac{r}{n})^{nt}

a.

A = 5000 (1 + 0.025*1)\\A=5000(1.025)\\A=5125

Simple interest is $125

b

. A = 5000 (1 + \frac{0.025}{1})^{1*1}      \\A=5000(1.025)\\A= 5125

Compound interest is $125

c. the result for both a and b are the same

d.

A = 5000 (1 + 0.025*3) \\A=5000(1.075) \\A=5375

the simple interest is $375

e

. A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385

the compound interest is $385

f. the result compared, compound interest is $10 more than simple interest

g.

A = 5000 (1 + 0.02*6) \\A=5000(1.12) \\A=5600

the simple interest is $600

h.

A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869

the compound interest is $4869

i. the result from g and h, h is over 8 times bigger than g.

j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h

6 0
3 years ago
A regular pentagon with a perimeter of 21 inches is dilated by a scale factor of
levacccp [35]
<h3>Answer: 35 inches</h3>

Each side of the pentagon is multiplied by 5/3 to get the length of each new side, so the perimeter is multiplied by 5/3 to get the new perimeter.

New perimeter = (scale factor)*(old perimeter)

New perimeter = (5/3)*(old perimeter)

New Perimeter = (5/3)*(21)

New Perimeter = (5/3)*(21/1)

New Perimeter = (5*21)/(3*1)

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3 years ago
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Is 1/4 greater or is 5/4 grater
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Answer: 5/4

Step-by-step explanation:

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3 years ago
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