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2 years ago

X2–6x + 10 is to be written in the form ( x +a)2+ b Find the values of a and b.

Mathematics

1 answer:

vampirchik [111]2 years ago

8 0

Answer:

a = -3 and b = 1

Step-by-step explanation:

x² - 6x + 10

→ Half the second term and place it in the bracket

( x - 3 )²

→ Square -3

- ( 3 )² = -9

→ Place this outside the brackets along with plus 10

( x - 3 ) ² - 9 + 10

→ Simplify

( x - 3 ) ² + 1

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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

Answer the ones you want to. At least answer one…

Artyom0805 [142]

Answer:

9. First Five terms

If n=0. Then,

$\frac{4(0) - 5}{2}$

$\frac{0 - 5}{2} = \frac{ - 5}{2}$

If n=1. Then,

$\frac{4(1) - 5}{2}$

$\frac{4 - 5}{2} = \frac{ - 1}{2}$

If n=2. Then,

$\frac{4(2) - 5}{2}$

$\frac{8 - 5}{2} = \frac{3}{2}$

If n=3. Then,

$\frac{4(3) - 5}{2}$

$\frac{12 - 5}{2} = \frac{7}{2}$

If n=4. Then,

$\frac{4(4) - 5}{2}$

$\frac{16 - 5}{2} = \frac{11}{2}$

If n=5. Then,

$\frac{4(5) - 5}{2}$

$\frac{20 - 5}{2} = \frac{15}{2}$

If n=6. Then,

$\frac{4(6) - 5}{2}$

$\frac{24 - 5}{2} = \frac{19}{2}$

7 0

3 years ago

I am a 2-digit number. The sum of my digits is 16. My ten’s digit is greater than my one’s digit. What number am I?

jarptica [38.1K]

Answer:

Step-by-step explanation:8? 8 is greater than 0 xd

8 0

3 years ago

What is 2and 2/3 divided by 4/5

Illusion [34]

Answer:

$\frac{10}{3}$

I hope this helps!

5 0

3 years ago

Write an equation for the sentence below. Then solve the equation.

Romashka-Z-Leto [24]

The answer is D thirteen multiplied by h is 13h. The word "is" typically means = so 13h=104. to solve for this you want to isolate the h on one side of the equation. to do this we need to get rid of the 13 and move it on the other side of the equation. the new equation is h=104÷13. So, h=8. Hope this helps!

6 0

3 years ago

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