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2 years ago

Solve $16x+9=9y-2x$ for $y$ .

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

3 0

Answer:

The solution for y is y = 2x + 1

Step-by-step explanation:

* Lets explain how to solve an equation for one of the variables

- We need to solve the equation 16x + 9 = 9y - 2 x for y

- That means we want to find y in terms of x and the numerical term

- the equation has two sides, one side contains x and numerical term

and the other side contains y and x

- We need to separate y in one side, and other term in the other side

* Lets do that

∵ 16x + 9 = 9y - 2x

- Add 2x to both sides to cancel -2x from the right side

∴ 16x + 2x + 9 = 9y - 2x + 2x

- Add like terms in each side

∴ 18x + 9 = 9y

- Divide each term by the coefficient of y ⇒ (÷9)

∴ (18 ÷ 9)x + (9 ÷ 9) = (9 ÷ 9)y

∴ 2x + 1 = y

- Switch the two sides

∴ y = 2x + 1

* The solution for y is y = 2x + 1

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Show all work to factor x^4 − 5x^2 + 4 completely.

Mademuasel [1]

Answer:

(x+1) (x-1) (x+2) (x-2)

Step-by-step explanation:

Let u = x^2

= u^2 - 5u + 4

(Factor u^2 - 5u + 4)

= (u-1) (u-4)

Substitute back u = x^2

= (x^2 -1 ) (x^2 - 4)

Factor x^2 - 1 and x^2 -4

= (x+1) (x-1) (x+2) (x-2)

Hope this helped... :)

If you need to see the work for yourself, copy/paste this link

https://www.symbolab.com/solver/factor-calculator/factor%20x%5E%7B4%7D%20%E2%88%92%205x%5E%7B2%7D%20%2B%204%20

3 0

3 years ago

Read 2 more answers

there were 6 inche of snow on the street.After a storm, the snow increased by 2/3 of the original amount. After a sunny day, 2/3

Eddi Din [679]

Answer:

6 inches.

Step-by-step explanation:

plus 2/3 and minus 2/3

5 0

3 years ago

The product of a nonzero rational number and an irrational number

mrs_skeptik [129]

Since irrational numbers are forever going, multiplying any nonzero rational number with an irrational number will make the product irrational as well

4 0

3 years ago

Read 2 more answers

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Nookie1986 [14]

Answer:

Step-by-step explanation:

surface area of sphere=a

4pir^2=a

r^2=a/4p

r=root(a/4pi)

if radius is doubled

r1=2root(a/4pi)

r1^2=4(a/4pi)

a/a1=(4pia/4pi)/(4pi 4a/4pi)=1/4

so a is increased by 4 times

6 0

2 years ago

Find the area of the missing piece of the polygon and explain your process for finding it:

rusak2 [61]

Answer:

The area of the polygon is 42 $cm^{2}$ .

Step-by-step explanation:

A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.

From the given figure, the area of the shaded polygon can be calculated by;

Area of polygon = Area of square - Sum of areas given

Sum of areas given = 24 + 30 + 48

= 102 $cm^{2}$

The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:

Area of square = length × width

= 12 × 12

= 144 $cm^{2}$

Area of polygon = 144 - 102

= 42 $cm^{2}$

The area of the polygon is 42 $cm^{2}$ .

6 0

3 years ago