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3 years ago

6

A scale of 0.5 inches to 2 feet was used for a model of the goal posts on a football field. If the model was 1 1/2 in high and 5

1/8 inches long, what was the actual height and length?

1 answer:

Paraphin [41]3 years ago

6 0

The actual height is: 1 1/2 * 2 = 3 feet
The actual length is: 5 1/8 * 2 = 10.25 feet

hope this helps you.

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If x is a prime number, what is the value of x? (1) 2 x + 2 is the cube of a positive integer. (2) The average of any x consecut

Triss [41]

Answer: what is the value of x? The answer is 3.

Step-by-step explanation:

2x + 2 = y^3 where y is a positive integer. One possible answer for this is 3, because 2*3 + 2 is 8, that is 2^3, so 2 * 2 * 2 = 8. Also the second restrictions says that x consecutive numbers added and then divided by x will give an integer. So 2 + 3 + 4 = 9 and 9/3 = 3, that is an integer, and we have 3 consecutive numbers, therefore the answer is 3, as 3 is prime as well.

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2 years ago

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Step-by-step explanation:

1.Subtract 6 from both sides of the equation

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2 years ago

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sergij07 [2.7K]

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2 years ago

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

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3 years ago

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Anettt [7]

Answer:

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Remove all transformations from the equation (such as plus/minus signs, constants, and extra terms in the equation).

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3 years ago