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Inessa [10]
3 years ago
9

If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

The correct answer is x = 6.

Step-by-step explanation:

To solve this problem, we first must recognize that DE + EF = DF.

From this information, we can set up the following equation when we substitute in the given values:

DE + EF = DF

(4x-1) + 9 = 9x - 22

Our first step is going to be to combine like terms on the left side of the equation.  This is modeled below:

4x - 1 + 9 = 9x - 22

4x + 8 = 9x - 22

Then, we should subtract 4x from both sides of the equation.

8 = 5x - 22

Now, we can add 22 to both sides of the equation.

30 = 5x

Finally, we can divide both sides by 5.

x = 6

Therefore, the correct answer is x = 6.

Hope this helps!

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How to find area of composite figures
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Step-by-step explanation:

A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.

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4 years ago
PLS HELP Find the m∠RLU.<br> A. 10º<br> B. 6º<br> C. 25º<br> D. 50º
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Step-by-step explanation:

6n-10=50

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8 0
3 years ago
When the value of the y-intercept(b) change by subtracting a number from "b" in the equation "y=mx+b", the graph will move of sh
ehidna [41]

Answer:

True. The graph will shift down if we subtract a number from "b"

Step-by-step explanation:

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Because we are decreasing the value of "b" the y intercept will decrease, dragging the graph of y down.

6 0
3 years ago
Given z=f(x,y),x=x(u,v),y=y(u,v), with x(1,3)=2 and y(1,3)=2, calculate zu(1,3) in terms of some of the values given in the tabl
stich3 [128]

The value of zu(1,3) using the data elements represented on the table of values is q + p

<h3>How to solve the calculus expression?</h3>

The given parameters are:

z = f(x, y)

x = x(u, v)

y = y(u, v)

Where

x(1, 3) = 2 and y(1, 3) = 2

To calculate zu(1,3), we make use of:

z_u(1,3) = f_x(x,y) * x_u(1,3) +  f_y(x,y) * y_u(1,3)

The values x(1, 3) = 2 and y(1, 3) = 2 mean that:

(x,y) = (2,2).

So, we have:

z_u(1,3) = f_x(2,2) * x_u(1,3) +  f_y(2,2) * y_u(1,3)

From the table of values, we have:

f_x(2,2) = q

x_u(1,3) = 1

f_y(2,2) = 1

y_u(1,3) = p

So, the equation becomes

z_u(1,3) = q * 1 +  1 * p

Evaluate the product

z_u(1,3) = q + p

Hence, the value of zu(1,3) is q + p

Read more about calculus at:

brainly.com/question/5313449

#SPJ1

3 0
2 years ago
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