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Stolb23 [73]
4 years ago
7

The length of rectangle ABCD is 4 in. The length of similar rectangle DEFG is 6 in. How many times greater than the area of ABCD

is the area of DEFG?
Mathematics
1 answer:
Fiesta28 [93]4 years ago
7 0
The length of the DEFG rectangle
is 6/4 of the length of the ABCD rectangle.

6/4=3/2 = 1,5

How many times greater than the surface of ABCD is the DEFG area?
1,5 times
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The perimeter of a rectangular swimming pool is 160 feet . The length of the swimming pool is four times its width. Find the dim
Murrr4er [49]
Formula for Perimeter of Rectangle:

P = 2(L + W)

Plug in 160:

160 = 2(L + W)

L = 4W
So we can plug in '4W' for 'L' in the first equation.
<span>160 = 2(L + W)

160 = 2(4W + W)

Combine like terms:

160 = 2(5W)

160 = 10W

Divide 10 to both sides:

W = 16

Now we can plug this back into any of the two equations to find the length.

L = 4W

L = 4(16)

L = 64

So the width is 16, and the length is 64.</span>
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Graph the lines 2x=-y+7 and 2y=-4x+10. What is the solution?
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Find the y and the x intercepts of the graph of the equation of y=3x+1
BaLLatris [955]

Answer:

x-intercept ⇨ -1/3

y-intercept ⇨ 1

Step-by-step explanation:

⟺ Finding the x-intercept, substitute y = 0

y=3x+1\\0=3x+1\\3x+1=0\\

Move 1 to subtract the another side.

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Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.

x=-\frac{1}{3} #

⟺ Finding the y-intercept, substitute x = 0

y=3x+1\\y=3(0)+1\\y=0+1

y=1 #

Tips:

Here's the tips about finding the intercepts of the graph.

⟺ For x-intercept, It's like solving an equation to find the x-term.

⟺ For y-intercept, It's like using the constant to answer.

As for y = mx+b where m = slope and b = y-intercept.

For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.

7 0
3 years ago
Please help someone
Romashka-Z-Leto [24]

Answer:

  (-2, ∞)

Step-by-step explanation:

A function is "increasing" when its graph goes up to the right, the slope is positive. At a turning point (maximum or minimum), the function is neither increasing nor decreasing.

<h3>Increasing interval</h3>

The graph has a minimum at x = -2. To the left of that point, the graph goes up to the left, which is the same as down to the right (decreasing).

To the right of x = -2, the graph goes up to the right (increasing). It continues to increase for all values of x > 2. The interval where the function is increasing is said to be ...

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The lack of "or equal to" tells you the interval is "open" and is delimited by parentheses in interval notation:

  increasing; (-2, ∞)

6 0
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