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iragen [17]
3 years ago
5

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
diamong [38]3 years ago
7 0

Answer:

4√3 according to khan academy

Step-by-step explanation:

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Solve using a system of two equations in two unknowns.
vladimir1956 [14]

Hello!

To solve this, first write two equations. We are given two facts about the situation, so we can write the equations accordingly.

Say the length of the rectangle is l, and the width is w.

<u>The length of a rectangle is 9 inches more than twice its width:</u> 2w + 9 = l, as you're adding 9 to two times the width.

<u>The perimeter of the rectangle is 48 inches:</u> The equation for perimeter is 2l + 2w, so we can just use that in this case to make the equation - 2l + 2w = 48

Now, set up the system of equations.

\left \{ {{2w + 9 = l} \atop {2l + 2w = 48}} \right.

Now, we can already use substitution to solve. We get from one of the equations that l = 2w + 9, so we can substitute 2w + 9 for l in the other equation, and then solve for w.

2l + 2w = 48

2 (2w + 9) + 2w = 48

4w + 18 + 2w = 48

6w = 30

w = 5

We know one of our variables now. Now, all that's left to do is substitute 5 for w in one of the original equations to solve for l.

2w + 9 = l

2 (5) + 9 = l

10 + 9 = l

19 = l

Therefore, we now have our dimensions. The length of the rectangle is 19 inches, and the width is 5.

Hope this helps!

4 0
3 years ago
Using factor theorem , show that (x -4) is a factor 2x3 + x2 -26x - 40 and hence factorize completely.
notka56 [123]

Step-by-step explanation:

if x-4 is a factor of 2x^3 + x^2- 26x - 40

then f(4) = 0

f(x) = 2x^3 + x^2- 26x - 40

f(4) = 2(4)^3 + (4)^2 - 26(4) - 40

f(4)= 2(64) + 16 - 104 - 40

f(4) = 128 + 16 - 104 - 40

f(4) = 0

hence factorize completely is the photo

7 0
3 years ago
Plz help ASAP I’ll give lots of points
Ainat [17]

Answer:

8

Step-by-step explanation:

Because it is equal to the 4 side

6 0
3 years ago
Samantha bought 10 identical shirts for $25. If she bought 25 of those same shirts, how much will she pay?
tatiyna

Answer:

72.50

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Hello I need help with this math question BRAINLIEST For the fastest correct answer​
Marizza181 [45]

Answer:

A. The temperature outisde and the number of people swimming at the beach.

Step-by-step explanation:

As the temperature decreases the number of people swimming will also decrease. This will create a negative correlation between the two factors.

4 0
2 years ago
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