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3 years ago

Find the zeros of the polynomial x2-7please answer step by step

Mathematics

1 answer:

Yuki888 [10]3 years ago

6 0

Answer:

x = ± $\sqrt{7}$

Step-by-step explanation:

To find the zeros equate the polynomial to zero, that is

x² - 7 = 0 ( add 7 to both sides )

x² = 7 ( take the square root of both sides )

x = ± $\sqrt{7}$

Thus the exact solutions are

x = - $\sqrt{7}$ , x = $\sqrt{7}$

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Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to

Anettt [7]

Answer:

correct option is 2187

Total surface area is 2,185.44 square inches.

lateral surface area is 640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by $2\pi rl$

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

$2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12$

Thus, lateral surface area for given cylinder is 1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle $\pi r^2$

$area \ of \base = \pi r^2 = 3.14*12^2\\=>area \ of \base = 3.14*144 = 452.16$

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

= 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

= 2,185.44 square inches.

Thus, total surface area is 2,185.44 square inches.

lateral surface area is 640.56 square inches

but option which is closest to calculated value is 2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = $2\pi r^2 + 2\pi rl$

5 0

3 years ago

What is the square root of 81

Talja [164]

The square root of 81 is 9

6 0

3 years ago

Read 2 more answers

How do we round 8.373 to the nearest hundredth?

Mashutka [201]

8.373 rounded to the nearest hundredth is 8.37 because you look at the thousandths place or to the right of 7 and you see that its lower than 5 so you round down giving you the answer of 8.73

Answer: 8.73

3 0

3 years ago

Create a linear function that has a rate of change of -4 and a solution at (-5,2)

san4es73 [151]

You would use the point-slope equation of y-y₁=mx(x-x₁)

So the rate of change is the slope and equals m, so m=-4

and has a solution at (-5,2) which would be the (x₁, y₁) and then it is just plugging in the numbers

y - (2) = (-4)(x - (-5))

y - 2 = -4 (x+5)

y - 2 = -4x - 20

y = -4x - 18

8 0

3 years ago

Will try to mark the right answer brainiest || What's the slope of this line?

Aliun [14]

Answer:

the slope of the line is 2/3x

Step-by-step explanation:

i hope this helps :)

8 0

3 years ago

Find the zeros of the polynomial x2-7​please answer step by step

Find the zeros of the polynomial x2-7please answer step by step