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3 years ago

Solve for 2.

Mathematics

1 answer:

Tatiana [17]3 years ago

7 0

Answer:

x=2/5

Step-by-step explanation:

expand the bracket

i.e 2(-5x+1)-4(-5x+1)

-10x+2+20x-4=0

clt -10x+20x=4-2

10x=2

therefore x=2/5

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A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in

mafiozo [28]

Answer:

$6524.51 ft^2$

Step-by-step explanation:

The surface area of a cylinder is given as;

$SA = 2\pi rh + 2\pi r^2$

where r = radius

h = height

The cylinder has a height of 32 feet and a diameter of 40 feet. This means that the radius is:

40 / 2 = 20 feet

The surface area is therefore:

$SA = (2*\pi* 20 * 32) + (2*\pi *20^2)\\\\SA = 4021.24 + 2513.27\\\\SA = 6524.51 ft^2$

The surface area of the cylinder is $6524.51 ft^2$ .

5 0

3 years ago

A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

4 years ago

For each equation below , determine the value of y if x = 2 .

Fynjy0 [20]

You simply plug in the value of x in each equation to find y.

1)
y = 7 - 3(2)
y = 7 - 6
y = 1

2)
y = 18/2
y = 9

hope this helped, blessings!

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3 years ago

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27/6 in mixed numbers

sp2606 [1]

Answer:

4 1/2

Step-by-step explanation:

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3 years ago

NEED HELP ASAP I WILL GIVE BRAINLIEST

inn [45]

Answer: It's the second option

Step-by-step explanation:

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3 years ago

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