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oksano4ka [1.4K]
3 years ago
8

What is the perimeter of rectangle with vertices located at (- 3, - 1), (5, - 1), (5, 9) and (- 3, 9) on the coordinate ?

Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

Answer:

32 units^2

Step-by-step explanation:

Finding the width and the length:

One side = √[(-1 - (-1)^2 + (5 - (-3))^2]

= √(0 +  64)

= 8.

The adjacent side = √(9-9)^2 + (-3-5)^2

= 8.

Perimeter - 4 *8 = 32 units^2.

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The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first 12 terms of the correspondi
Leokris [45]

Answer:

2,125,760

Step-by-step explanation:

The first term (a) is 8

The fourth term is 216

Hence the sum of the first 12 term can be calculated as follows

= 8-8(3)^12/1-3

= 8-24^12/-2

= 2,125,760

The sum of first 12 terms is 2,125,760

4 0
3 years ago
What is the volume, in cubic cm, of a rectangular prism with a height of 19cm, a
3241004551 [841]

Answer: 2432

19 x 16 x 8 = 2432

6 0
2 years ago
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Simplify and reduce to the lowest terms.<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%7D%7B12%7D%20" id="TexFormula1" t
Paladinen [302]
When you divide two fractions, you're actually multiplying one of them by the reciprocal of the other. First, find the reciprocal of the second fraction by flipping it upside down. Then, multiply it by the first fraction. (Numerator x numerator and denominator x denominator)

\frac{-7}{12} ÷ \frac{2}{3}   Replace the second fraction with it's reciprocal
\frac{-7}{12} x \frac{3}{2}   Multiply (-7 x 3 and 12 x 2)
\frac{-21}{24} Both 21 and 24 are divisible by three, so divide them by 3
\frac{-7}{8}
6 0
3 years ago
19) Two of the dozen eggs in a carton are cracked. About what percent of the carton is not cracked? (Round to the nearest whole
777dan777 [17]

Answer:

83%%

Step-by-step explanation:

We have that 2/12=1/6 of the eggs are cracked, so 1-1/6=5/6 of the eggs are not cracked.

Recall that 1/6=0.1666666666.... This means that 5/6=1-1/6=1-0.166666666...=0.833333333....

Rounding this to the nearest whole percent gives 83%%.

7 0
3 years ago
Please help me solve this I need some help
Agata [3.3K]

Answer:

f = 8

Step-by-step explanation:

  1. Apply the distributed property, so it now looks like this: 2f - 10 = 6
  2. Add 10 to each side, so it now looks like this: 2f = 16
  3. Divide each side by 2 to cancel out the 2 next to f. It should now look like this: f = 8

I hope this helps!

7 0
3 years ago
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