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timurjin [86]
3 years ago
5

What is the perimeter of the triangle?

Mathematics
1 answer:
Tema [17]3 years ago
6 0
Finding the perimeter of a shape is just adding up the length of the sides. the vertical sides are 4 + 6, which is 10. For the hypotenuse, use Pythagorean Theorem. 4² + 6² = 16 + 36 = 52. Take the square root of 52: 7.211, and add it to 10. This makes the perimeter 17.211 units.
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Why does using FOIL on polynomial expressions match so closely to integer multiplication?
dezoksy [38]
<span> FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions. </span>
<span>FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms. </span>

<span>For instance, if we multiply the two expressions </span>
<span>(x + 1) (x + 2) </span>
<span>then the result is the sum of these four products: </span>
<span>x times x (the First terms of each expression) </span>
<span>x times 2 (the Outside pair of terms) </span>
<span>1 times x (the Inside pair of terms) </span>
<span>1 times 2 (the Last terms of each expression) </span>
<span>and so </span>
<span>(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2 </span>
<span>[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment]. </span>

<span>Now, compare this to multiplying a pair of two-digit integers: </span>
<span>37 × 43 </span>
<span>= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3) </span>
<span>= 1200 + 90 + 280 + 21 </span>
<span>= 1591 </span>

<span>The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation. </span>
7 0
3 years ago
GEOMETRY Kymani has two equal-sized large pitchers and two equal-sized small pitchers. All of the pitchers together hold 40 cups
melamori03 [73]

Each of the small pitcher will contain 4 cups of water while each of the large pitcher will contain 16 cups of water.

Therefore,  two equal-sized large pitchers will hold 32 cups of water while the two equal-sized small pitchers will hold 8 cups of water

<h3>Larger Pitchers</h3>

The 2 larger pitchers are equal in size.

Let

each size of the large pitcher = x

Two large size pitcher = 2x

<h3>Smaller Pitchers</h3>

The 2 smaller pitchers are equal in size

let

each size of the pitcher = y

Two small sized pitchers = 2y

<h3>Pitchers Capacities</h3>

The whole pitchers holds 40 cups of water. Therefore,

  • 2x + 2y = 40

The capacity of one large pitcher minus the capacity of one small pitcher is 12 cups. Therefore,

  • x - y  = 12

Combine the equations.

2x + 2y = 40

x - y = 12

x + y = 20

2y = 8

y = 8 / 2

y = 4

x - 4 = 12

x = 12 + 4

x = 16

learn more on geometry here: brainly.com/question/26109140?referrer=searchResults

8 0
2 years ago
Mrs. Blalock gave her students a math test. Each problem on the test was worth 4.5 points. The grade on the test, y, can be calc
umka2103 [35]

Answer:

4,5*16=y

y=72

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The answer I neeed it now
slava [35]
Anser is B). Subtract smallest number
5 0
3 years ago
Can't get my head around this at all any help would be greatly appreciated.​
chubhunter [2.5K]

Answer:

The input is -6, hope this helps :D

Step-by-step explanation:

Represent the machines as expressions:

outputA= 7x-6

outputB= 3x+2

Find the input when the outputA is 3*outputB:

outputA=3outputB

(7x-6)=3(3x+2)

7x-6=9x+6

2x=-12

x=-6

3 0
3 years ago
Read 2 more answers
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