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sergij07 [2.7K]

3 years ago

9

One leg of a right triangle is 22 millimetersmillimeters shortershorter than the longerlonger leg and the hypotenuse is 22 milli

metersmillimeters longer than the longerlonger leg. find the lengths of the sides of the triangle.

1 answer:

Arlecino [84]3 years ago

5 0

(a)^2+(b+22)^2=(c+44)^2. Then just solve for the variables

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Nesterboy [21]

Answer:

x = -1

y = 5

Step-by-step explanation:

x+y=4

3x+7y=32

<em><u>To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.</u></em>

x+y=4,3x+7y=32

<em><u>Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.</u></em>

x+y=4

<em><u>Subtract y from both sides of the equation</u></em>.

x=−y+4

<em><u>Substitute −y+4 for x in the other equation, 3x+7y=32.</u></em>

3(−y+4)+7y=32

<em><u>Multiply 3 times −y+4.</u></em>

−3y+12+7y=32

<em><u>Add −3y to 7y.</u></em>

4y+12=32

<em><u>Subtract 12 from both sides of the equation</u></em>.

4y=20

<em><u>Divide both sides by 4</u></em>.

y=5

<em><u>Substitute 5 for y in x=−y+4. Because the resulting equation contains only one variable, you can solve for x directly.</u></em>

x=−5+4

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7 0

3 years ago

PLEASE HELP! The table represents a function.

Svetradugi [14.3K]

Answer:

The correct option is A. The rate of change in the function y=2x+5 is greater than the rate of change of the function represented in the table.

Step-by-step explanation:

The slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

The given equation is

$y=2x+5$

Therefore the slope of the equation is 2.

The formula to find the slope

$m=\frac{y_2-y_1}{x_2-x_1}$

The two points from the table are (-1,0) and (2,3).

Slope of the function that is represented in the table is

$m=\frac{3-0}{2-(-1)} =\frac{3}{3}=1$

Therefore, the slope of the function that is represented in the table is 1.

Since 2>1, therefore the rate of change in the function y=2x+5 is greater than the rate of change of the function represented in the table. Option A is correct.

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