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kupik [55]
3 years ago
7

The vertices of a parallelogram are at (-9, 12), (-3, 12), (-5, 10), and (–11, 10). What is the perimeter of the parallelogram?

Round your answer to the nearest whole number?
Mathematics
1 answer:
eduard3 years ago
7 0

let point A has coordinates (-9;12),B(-3;12),C(-5;10) and D(-11;10).Then the vector AB={6;0}, BC={2;-2}, CD={6;0}, AD={2;-2} and their and the length of the vectors

|AB| = |CD| = \sqrt{ {6}^{2} + {0}^{2} } = \sqrt{36} = 6 \\ |BC| = |AD| = \sqrt{ {2}^{2} + {( - 2)}^{2} } = \sqrt{8}

p = 6 + 6 + \sqrt{8} + \sqrt{8} = \\ = 12 + 2 \sqrt{8} = 17.66\approx18

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Write the following decimal number in its equivalent fraction form.
Alecsey [184]

Answer:

-0.6666.... = - \frac{2}{3}

Step-by-step explanation:

Repeating decimals can be written as either 0.6666..., or as 0.6 with a small line over the top of the 6 to indicate it repeats.  Repeating fractions are not put into fractions in the traditional way.  If we had the terminating decimal 0.4, then we know to put the 4 over 10 and reduce:

\frac{4}{10}=\frac{2}{5}

However, with repeating decimals, instead of putting the number of the decimal over a value of 10, we put it over a value of 9.  So, for the equivalent fraction form of -0.6 (repeating) we would get:

\frac{6}{9}=-\frac{2}{3}

4 0
3 years ago
A rectangle has an area (x2-17x+72) square units.Since the area of a rectangle is determined using the formula, A= lw, what coul
hammer [34]
Geez this is a doozy

okay first factor the binomial using binomial theorem. you probably don't remember that (at least I didn't) so here it is.

{x}^{2}  - 17x + 72
you have to figure out what two numbers add to -17 and multiply together to make 72

so make a table of all the numbers that add to 17 then multiply them together and see of they make 72. since it's -17 we will need to use two negative numbers:

-1 * -16 = 16
-2 * -15 = 30
-3 * -14 = 42? idk
-4 * -13 = something, math is hard
keep going until...
-8 * -9 = 72

so it's -8 and -9 are the factors we want.
we wrote this as:

(x - 8)(x - 9)
seeing this equal as our area in the a=l*w formula gives:

(x - 8)(x - 9) = l \times w
Now, plug in a number greater than 9.
It has to be greater than 9 because anything less than that would give us a negative area. Let's use 10 because it's easy. It doesn't matter which number you use as long as it's greater than 10. The problem appears to say it just wants a possible length and width, not a specific answer.

(10 - 8)(10 - 9) = lw
2 = lw
so factors of 2.
length could be 1 and width could be 2 or vice versa.

you could also choose a different number than 10. let's try 20.

(14 - 8)(14 - 9) = lw
(6)(5) = lw
30 = lw
so lw could also be 10 and 3 in this case. or 5 and 6. or 1 and 30. all these answers would be correct.
3 0
4 years ago
Read 2 more answers
3.3 million births per year. How many births per minute?
stellarik [79]
There could be more than 100 births per minute as long as it equals to 3.3 million
3 0
3 years ago
Read 2 more answers
Luisa is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 3 appetizers, and 3 dessert
Vladimir79 [104]

Answer:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Also

The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Beverages:

3 from a set of 15. So

B = C_{15,3} = \frac{15!}{3!12!} = 455

Appetizers:

3 from a set of 10. So

A = C_{10,3} = \frac{10!}{3!7!} = 120

Desserts:

3 from a set of 13. So

D = C_{13,3} = \frac{13!}{3!10!} = 286

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?

By the fundamental counting principle, as beverages, appetizers and desserts are independent:

T = B*A*D = 455*120*286 = 15,615,600

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

4 0
4 years ago
Chris bought 4 hot dogs for $1.50. Which of the following shows an equivalent rate?
o-na [289]

Answer:

1 hot dog for$0.50

Step-by-step explanation:

i hope these answer is correct

3 0
3 years ago
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