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3 years ago

Given:

Mathematics

1 answer:

Masja [62]3 years ago

8 0

Answer:

Step-by-step explanation:

By joining N to L, you will have a right angled triangle which is right angle at N. Then r^2+36=(3+x)^2. r=9/2. PQ=2r=9

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Jorge runs 3 miles in 36 minutes what is the unit rate of minutes per hour

Ksju [112]

Answer:

108

Step-by-step explanation:

3 x 36=108

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3 years ago

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Wewaii [24]

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3 years ago

The perimeter of a rectangular painting is 312 centimeters. If the width of the painting is 64 centimeters, what is its length?

Kay [80]

Perimeter= 2L + 2W
312 cm= 2L + 2(64)
312= 2L + 128
subtract 128 from both sides
184= 2L
divide both sides by 2
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ANSWER: The length is 92cm.

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3 years ago

Please help me with this question!

stealth61 [152]

The sum of AB and BC is 180 degrees. So 13x - 10 = 180. 13x = 190.

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3 years ago

Part 2 Directions: Solve the matrix equation for "X" and "y" 5 - 2x 6 1 -8 + 2 -8 4. - 13 -13

Karolina [17]

Answer:

The value of x=9 and value of y= -7

Step-by-step explanation:

We need to solve the matrix equation for x and y

We are given:

$\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

First multiply 2 with terms inside the matrix

$\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

Now adding matrices on left side

$\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

Now both sides are equal , so we can say that

$-2x+10=-8 \ and \ 1+2y=-13$

Solving equations and finding values of x and y

Finding value of x

$-2x+10=-8 \\-2x=-8-10\\-2x=-18\\x=\frac{-18}{-2}\\x=9$

Finding value of y

$1+2y=-13\\2y=-13-1\\2y=-14\\y=\frac{-14}{2}\\y=-7$

So, value of x=9 and value of y= -7

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3 years ago