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Brrunno [24]
3 years ago
7

Help that one side is 2x-2

Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

Answer: x = 2/3

Step-by-step explanation:

<em>Add all sides.</em>

2x-2 + 2x - 2 + x + x =

6x - 4

<em>Put " = 0 "</em>

6x-4 = 0

Add 4 to both sides.

6x-4    =  0

   +4    = +4

-------------------

6x=4

You get 6x = 4 because the 4 on the left side of the equals sign cancelled out!

<em></em>

<em>NOW DIVIDE 6 FROM BOTH SIDES</em>

6x = 4

/6      /6

-----------

x= 4/6

<em>SIMPLIFY / REDUCE FRACTION</em>

4/6 divided by 2 = 2/3

2/3 is the answer !

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A 3-ounce serving of tuna provides 21 grams of protein. Use equivalent ratios to find how many grams of protein are in 9 ounces
laila [671]

Answer:

63 grams of protein.

Step-by-step explanation:

3 ounces = 21 grams of protein.

Question is how many grams are in 9 ounces, you then have to find the ratio that you need to use to find out how many grams of protein are in 9 ounces. Therefor you divide the amount that we don't know the equal amount of grams by the amount we do know the equal amount of grams, giving us the ratio.

9 divided by 3 = ratio (3)

Then use the ratio for the grams of protein.

21 x 3 = 63.

6 0
3 years ago
What is the difference in the areas of a square and rectangle if the rectangle has side lengths 2 less and 2 more than
kirill [66]

Answer:

A(square) = x*x= x^2

A(rectangle) = (a-2) (a+2) = a^2 +2a- 2a-4 = a^2 -4

A(rectangle) = A(square) -4

Step-by-step explanation:

For this case we assume that the square have sides of length x.

So then the area for this square is given by A(square) = x*x= x^2

We have a rectangle and on this case we have this information :" the rectangle has side lengths 2 less and 2 more than  a square"

So then the sides of the rectangle needs to have lengths a-2 and a+2, and if we find the area for the rectangle we got:

A(rectangle) = (a-2) (a+2) = a^2 +2a- 2a-4 = a^2 -4

And as we can see th area for the rectangl is 4 units less than the area for the rectangle:

A(rectangle) = A(square) -4

4 0
3 years ago
What is the equation of a line in slope intercept form that is parallel to y-4=2(x+3) that goes through (-1,2)
Brilliant_brown [7]
Since the equation we're looking for is parallel to another line, we can "steal" the second line's slope and use it in our equation.

Point-slope formula:
y - y1 = m(x - x1)
y - 2 = 2(x-(-1))
y - 2 = 2(x+1)

Solve for y to put into slope intercept form:
y - 2 = 2x + 2
y = 2x + 4
4 0
3 years ago
The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter
masha68 [24]

Answer:

<h2>20 cm.</h2>

Step-by-step explanation:

We know that the permiter is defined as

P=L+S+M

Where L is the longest side, S is the smallest and M is the middle side.

If L=x then, S=x-20, where we need to find an expression for M using the law of cosines.

M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}

Replacing all expression, the perimeter is

P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}

Using a calculator, the perimeter is 20 units centimeters.

7 0
3 years ago
9 less than a number n equals 27
damaskus [11]
The answer is n-9=27, I am 100% confident in my answer...hope you get a nice grade :)

3 0
3 years ago
Read 2 more answers
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