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2 years ago

An equation is shown below: 6(2x-11)+15=21

Mathematics

2 answers:

mars1129 [50]2 years ago

8 0

Hello!

To solve, we want to isolate the x on one side of the equation. We can use inverse operations to put numbers on the other side to find x.

First we undistribute our parentheses.

12x-66+15=21

We subtract 15 from both sides (it cancels out the 15 on the left side, making it 0).

12x-66=6

Now we add 66 to both sides, as -66+66=0

12x=72

Finally, we divide both sides by 12.

x=6

I hope this helps!

balandron [24]2 years ago

3 0

To solve any algebraic equation, we need to get x by itself. The first step to doing that is doing the multiplication (since we can't simplify the parenthesis any further, and because there are no exponents).

Simplifying the parenthesis gives us:

12x - 66 + 15 = 21

Now we want to get all terms with x on one side and all the numbers on the other.

12x = 21 + 66 - 15

12x = 72

Now we want to get x by itself (meaning that we want to get a <em>single</em> x). We can do that by dividing both sides by the number in front of x.

12/12x = 72/12

x = 6

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Answer

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Step-by-step explanation:

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2 years ago

Find the value of x in the isosceles triangle shown below

egoroff_w [7]

Answer:

x = 10

Step-by-step explanation:

if there 2 same triangle then they are right triangle

By using Pythagorean theorem for 1 of right triangle, we have

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6 0

1 year ago

Read 2 more answers

How do you reduce 36/100 using prime factorization?

Nutka1998 [239]

36 and 100 are both divisible by 4 which gives 9 over 25. That's all you can do to simplify it.
Hope this helps!

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2 years ago

Choose the correct simplification of the expression (−2x + 8y)(9x − 3y).

Romashka-Z-Leto [24]

For these kinds of expressions use FOIL (first, outside, inside, last).

-2x • 9x = -18x^2
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Now combine them all:

-18x^2 + 78xy - 24y^2

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2 years ago

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A person that is 5 feet tall casts a shadow 25 feet long. How long is the shadow of a tree that is 15 feet tall?

fiasKO [112]

The person and his shadow make a right triangle as well as the tree and it's shadow. they will be similar right triangles containing angles that are equal. I'm in similar triangles the angles are proportional so a ratio could be used to determine the shadow length. this ratio is:
25/5 = x/15
(Notice that both the height of the person and
the height of the tree height of the tree are on
the bottom because these would be similar
sides and the same for the shadows with both
on top. this could easily have been switched
with the shadows on bottom and heights on
top like:
5/25 = 15/x
however I noticed the 25/5 could easily be
reduced. this eliminated the need for cross
multiplication.)

The 25/5 can be reduced to 5:
5 = x/15
and then multiply both sides by 15 and you get:
x = 75
so the answer is 75 feet long.

this can be checked various ways. using trigonometry we have the opposite and adjacent sides so tangent could be used to find the angle between the shadow and the hypotenuse. this is:
tan (x) = opposite/adjacent
opposite = height
adjacent = shadow
so:
tan (x) = 5/25 for person
tan (x) = 15/75 for tree
these equations both reduce to:
tan (x) = 1/5
And of both equations are the same then the angLee are equal creating similar triangles and a correct answer

4 0

2 years ago