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navik [9.2K]
3 years ago
12

Fill in the table using this function rule Y=2x+2

Mathematics
2 answers:
Flura [38]3 years ago
6 0
10 12 18 20    
this is to hit 20 characters
Vlad1618 [11]3 years ago
4 0
X        y
----------
4    |   10
5    |   12
8    |   18
9    |   20
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Find the length of a rectangle with a diagonal of 10 and a height of 8.
Dmitry_Shevchenko [17]

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

Given: The diagonal of a rectangle is 10 and the height is 8.

Please understand, that a diagonal, divides the rectangle into two tringles.

To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!

<em>EXTRA:</em>

<em>If</em><em> you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.</em>

<em>Instead of 5, a diagonal of 10 is given (factor of 2 bigger).</em>

<em>Instead of 4, the height of 8 is given (factor of 2 bigger</em><em>)</em><em>.</em><em> </em><em>By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?</em>

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

a = length (and is unknown)

b = height = 8

c = hypothenusa/diagonal = 10

Substitute the numbers given:

a² + 8² = 10²

Subtract 8² left and right of the = sign.

a² +8² -8² = 10² - 8²

a² + 0 = 100 - 64

a² = 36

a = + - √36

a = + - 6

<em>EXTRA</em><em>:</em>

<em>You</em><em> can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.</em>

a = 6

So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.

8 0
3 years ago
Factor<br> 49x^2-36y^2<br> Show Work
myrzilka [38]

Heres the work g..........

3 0
3 years ago
Carlos earns $11 per hour at his job. Let x represent the number of hours he worked in May. Let y represent the number of hours
Firlakuza [10]

11x+11y

11(x+y)

Explanation

Step 1

Let

Carlos earns == 11 per hour

x represents the number of hours he worked in May

the,

the amount he earned in Mayis

11\cdot x=11x

y represent the number of hours he worked in June.

the amount he earned in June was

11\cdot y=11y

Step 2

the amount of money he earned is May and June is the sum of the values

\begin{gathered} \text{total}= \\ 11x+11y \\ \text{if we factorize 11} \\ 11(x+y) \end{gathered}

I hope this helps you

5 0
1 year ago
Which equation describes the line graphed above? JUST NEED ANSWER NO NEED FOR EXPLANATION
Zolol [24]

Answer:

B.

Step-by-step explanation:

We can use a graphing calc to determine which line is the correct one.

4 0
3 years ago
Read 2 more answers
Fine the value of the x in the triangle shown below.
Sever21 [200]

Answer:

x=28

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees

Therefore,

79+73+x=180

Combine like terms by adding 79 and 73

152+x=180

To solve for x, get x by itself. Since 152 is being added to x, subtract 152 from both sides. This will cancel the 152, and leave x by itself.

152-152+x=180-152

x=28

So, x is equal to 28 degrees

8 0
3 years ago
Read 2 more answers
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