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vladimir1956 [14]
3 years ago
6

the combined area of two squares is 45 square cm. each side one square is twice as long as a side of the other Square. what is t

he length of each side of the larger square​
Mathematics
1 answer:
anygoal [31]3 years ago
4 0
6 centimeters



x will represent the side length of the smaller square, so 2x is the side length of the bigger square.

x*x + 2x*2x = 45

x^2 + 4x^2 = 45

5x^2 = 45

x^2 = 9 (Divide by 5)

sqrt(x^2) = sqrt(9)

x = 3

2x = 6 (Multiply by 2)



Please consider marking this answer as Brainliest to help me advance.
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Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is
bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula m=\frac{y_2-y_1}{x_2-x_1} to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is m=\frac{6-1}{2-3}

\implies m=\frac{5}{-1}=-5.

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is m=\frac{4-5}{-2- -2}=\frac{-1}{0}= undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is m=\frac{10-8}{2-0}=\frac{2}{2}=+1

A positive slope means this line rises

24)  The points are (-3,-3), (3,1)

The slope is m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2

A negative slope means this line falls

26)  The points are (-2,-8) , (5,-8).

Slope: m=\frac{-8--8}{5--2}=\frac{0}{7}=0

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: m=\frac{3-2}{5--1}=+\frac{1}{6}

A positive slope means this line rises

28) The points are: (\frac{1}{2},4), (-1,4)

Slope: m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0

A zero slope means the line is horizontal

29) The points are: (4,\frac{1}{2}), (5,\frac{1}{4})

Slope: m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}

A negative slope means this line falls.

6 0
3 years ago
an ice cream factory makes 220 quarts of ice cream in 5 hours how manoy quarts could be made in 36 hours?what was that rate per
mrs_skeptik [129]
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8 0
3 years ago
PLEASE HURRY AND SOLVE!!!!
MissTica

Answer:

The constant of proportionality is 6

Step-by-step explanation:

Recall the equation for direct variation is y=kx where y varies directly with x and k is the constant of proportionality. If we take any listed coordinate point, we can determine the value of k. I will use (20,120) as an example:

y=kx\\\\120=k(20)\\\\6=k

Therefore, the constant of proportionality is 6

6 0
2 years ago
How to solve x+9/5=5/3-x-3/6
Schach [20]

Answer:

x = -\frac{19}{60}

Step-by-step explanation:

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i think this is

3 0
3 years ago
Is the common difference the same as the slope of a linear model?
dangina [55]
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3 years ago
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