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koban [17]
3 years ago
12

Use the given figure at right and calculate the value of x

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0
Hi there!

To figure out the value of x, we can use a proportion. Here's the proportion we'd use: 15/7 + x = 9/x. Next, we'll need to cross-multiply in order to get an equation that we are able to solve: 9(7 + x) = 15x. Then, we'll distribute the terms: 63 + 9x = 15x. Lastly, we'll subtract 9x from each side and divide to find the value of x: 6x = 63 | x = 10.5.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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victus00 [196]
1. 10.4
2. 9.3
3. 10.3
6 0
3 years ago
Eqyivalent expresion to 3√m^2n^5
Irina18 [472]
The first step to solving this expression is to factor out the perfect cube
\sqrt[3]{m^{2}  n^{3} X n^{2}   }
The root of a product is equal to the product of the roots of each factor. This will make the expression look like the following:
\sqrt[3]{ n^{3} } \sqrt[3]{ m^{2} n^{2}  }
Finally,, reduce the index of the radical and exponent with 3
n\sqrt[3]{ m^{2} n^{2}  }
This means that the correct answer to your question is n\sqrt[3]{ m^{2} n^{2} } .
Let me know if you have any further questions
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8 0
3 years ago
Which is the best estimate of the sum of the fractions 5/12+5/9
Bumek [7]

Answer:

0.926

Step-by-step explanation:

5/12 as a decimal is 0.416 and

5/9 as a decimal is 0.5 repeating

You just have to turn the fraction into a decimal and

add those together.

So your final equation would be 0.416+0.5

8 0
3 years ago
Read 2 more answers
What are the coordinates of the midpoint of AB IF A (6,4) and B (-8,8)
marissa [1.9K]

Answer:

-I haven't done this, but I have copied and pasted from another question and answer from the user syed514:

Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.

If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.

Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.

Solving for the coordinates gives x2 = 10, y2 = 13

3 0
3 years ago
Distance between parallel lines y=3x+10 and y=3x-20
Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).


2. Use formula d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}} to find the distance from point (x_0,y_0) to the line Ax+By+C=0.


The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}.


3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.


Answer: d=3\sqrt{10}.

4 0
3 years ago
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