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Ghella [55]
3 years ago
10

Model the following problem with a quadratic equation. Then solve. Find the length of a side of a square with an area of 75 ft2.

Model the problem with a quadratic equation. Let x be the length of a side of the square.
Mathematics
1 answer:
Vaselesa [24]3 years ago
5 0

Answer:

x = 8.6603 m

Step-by-step explanation:

If x is the length of a side of the square, the area of the square will be x^2.

So, if the area of the square is 75 ft2, we can formulate the quadratic equation:

x^2 = 75

Now, solving the equation, we just need to make the square root of 75:

x = sqrt(75) = ±8.6603

x1 = 8.6603

x2 = -8.6603

Now, as x represents the length of a side of the square, and measurements can't be negative, we take only the positive value, so:

x = 8.6603 m

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9.42

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Solve for c: 2/8x - 4 = -10
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4 0
3 years ago
Determine which of the following equations, when graphed, intersect at the point (4, 0).
kakasveta [241]

Answer:

Hence, the following equations, when graphed, intersect at the point (4, 0):

x - y = 4 (1)

x + y = 4 (4)

Step-by-step explanation:

<em>" For the graph to intersect at the point (4,0) we mean that when y=0 , x must be equal to 4 or we could say that when x=4 then y=0".</em>

1)

x-y=4

now when y=0 then x=4.

Hence, the graph intersect at the point (4,0).

2)

-x-y=4

When y=0 in the equation then x=-4, Hence the point (4,0) does not lie on the graph of the given function.

3)

2x-y=7

When y=0 then x=7/2.

Hence the graph of the function does not intersect at the point (4,0).

4)

x+y=4

When y=0 then x=4.

Hence the graph of the given function intersect at (4,0).

5)

2x + y = 7

When y=0 then x=7/2.

Hence the graph of the function does not intersect at the point (4,0).

6)

2x + y = -7

When y=0 then x= -7/2.

Hence the graph of the function does not intersect at the point (4,0).


3 0
3 years ago
What must be the value of x?<br> 22.0<br> 25.0<br> 25.4<br> 37.2
allochka39001 [22]

Answer:

The answer should be 25.

Step-by-step explanation:

Since we can rule out 25.4 for being too high, and 22 for being too low, the answer must be 25

5 0
4 years ago
Read 2 more answers
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