MATHEMATICS HIGH SCHOOL

Find the perimeter of the rectangle shown below

Answers

Answer 1

Answer:

Since the triangle is a right triangle, we can use the pythagorean theorem to solve for the one remaining side.

Plug in your values

a = 9

b = ?

c = 15

9^2 + b^ = 15^2. Square root 9 and 15

81 + b^2 = 225. Subtract 81 from each side.

b^2 = 144. Take the square root of each side.

b = 12.

Now we know the length and width of the rectangle.

Perimeter = 2(12 + 9)

Perimeter = 42 in

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the difference between two positive integers is 40. one integer is three times as great as the other. find the integer.

Answers

Be the integers: x and y

x - y = 40
x = 3y

Replace x in the first equation:

3y - y = 40
2y = 40
y = 20
x = 60

Peter sells cards in packs of 12 and envelopes in packs of 27. If Martha wants the same number of each, what is the minimum number of cards that she will have to buy?

Answers

The lowest common multiple of 12 and 27 is 108.

12 x 9 = 108 and
27 x 4 = 108 .

So she has to buy 9 packs of cards ... 108 of them ... and 4 packs of envelopes.

she will need to buy at least three hundred and twenty four cards (324) cards.

If f(x)= -1x2+3, find f(1)
Someone help me, I'm so confused ;-;

Answers

Answer:

-1×(1)×2+3=1 This is the answer I think

Factor the expression
10x+15y=

Answers

5(2x+3y) is the most it can be factored. You first have to find the greatest common factor and once thats done just try using methods such as the diamond. The only thing it was able to do using the methods was this.

Final answer:

To factor the expression 10x+15y, we can factor out the greatest common factor (GCF) of 5 to get 5(2x+3y).

Explanation:

To factor the expression 10x+15y, we need to find the greatest common factor (GCF) of the two terms.

In this case, the GCF is 5, because both 10 and 15 are divisible by 5.

We can then factor out the GCF to get: 5(2x+3y).

Learn more about Factoring Expressions here:

brainly.com/question/34538238

#SPJ3

What is the reciprocal of 2/9

Answers

The reciprocal of any number is the other number you must multiply it by to equal one. In this case it's 9/2

Answer:

9/2

Step-by-step explanation:

HELP What function models the data shown on the graph?

f(x) = 2(x – 5)(x – 1)

f(x) = –2(x – 5)(x – 1)

f(x) = 2(x + 5)(x + 1)

f(x) = –2(x + 5)(x + 1)

Answers

It looks like the parabola are going down, so the coefficient should be negative,
B or C,
then we see that the parabola has x -intercepts (1,0) and (5,0)
these roots should be written as multiples
x=1, so x-1=0
and
x=5, so x-5=0,
so (x-1)(x-5) and negative first coefficient -2 at the same time.
We can see only in the
B. f(x) = –2(x – 5)(x – 1)

Answer:

Step-by-step explanation:

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Explain how to find all the factors pairs of 40

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