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3 years ago

If ∠2 and ∠3 are supplementary angles, then ∠2 and ∠3 form a linear pair true or false

Mathematics

1 answer:

Bezzdna [24]3 years ago

7 0

True. Two angles of a linear pair will always be supplementary

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The remainder when p\left(x\right)=x^3-2x^2+8x+kp ( x ) = x 3 − 2 x 2 + 8 x + k by (x-2) is 19. What is the remainder when p(x)

Dafna11 [192]

Answer:

Remainder when p(x) is divided by (x+2) is -29

Step-by-step explanation:

p(x) = $x^{3} - 2x^{2} + 8x + k$

When p(x) is divided by (x-2), remainder is 19.

p(x - 2 = 0) gives the remainder when p(x) is divided by (x-2)

x - 2 = 0

x = 2

p(x-2=0) = p(2) = $2^{3} - 2(2^{2}) + 8(2) + k$ = 19

8 - 8 + 16 + k = 19

k = 3

p(x) = $x^{3} - 2x^{2} + 8x + 3$

p(x + 2 = 0) gives the remainder when p(x) is divided by (x+2)

x + 2 = 0

x = -2

p(x+2=0) = p(-2) = $(-2)^{3} - 2((-2)^{2}) + 8(-2) + 3$

p(-2) = - 8 - 8 - 16 + 3 = -29

Remainder when p(x) is divided by (x+2) is -29

6 0

3 years ago

Read 2 more answers

-2(x-3) >-8<br> What is the answer

Vlad [161]

Answer:

x < 7

Step-by-step explanation:

First apply the -2 onto each term that it is being multiplied onto.

-2x + 6 > - 8

Now subtract six from both sides.

-2x > -14

Now divide by -2.

x < 7

<u>REMEMBER</u>

When doing greater than and less than equations like this, if you divide by a negative you must flip the greater than/less than.

5 0

3 years ago

Find the area of the figure shown below and type your result in the empty box.

marusya05 [52]

The answer is 150 because you first find the area of the square which is 10x10=100 and then you find the area of the triangle which is 10x10=100 divide by 2 will give you 50 so 100+50=150 hope this helps :)

3 0

3 years ago

Read 2 more answers

A round silo is 55 feet tall and has a 24 foot radius. How high would a load of 38000 cubic feet of grain fill the silo?

VARVARA [1.3K]

Find the volume of the silo.

The formula is: Volume = PI x r^2 x h

Replace volume with the volume of grain and solve for h:

38000 = 3.14 x 24^2 x h

38000 = 3.14 x 576 x h

38000 = 1808.64 x h

Divide both sides by 1808.64

h = 38000 / 1808.64

h = 21.01

The grain would be 21.01 feet ( round to 21 feet.)

6 0

3 years ago

Check that 2b+b and 3b have the same value when b is 1,2, and 3. Do 2b+b and 3b have the same value for all values of b? Explain

Inessa [10]

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression $2b+b$ and $3b$ and values of b as 1, 2 and 3.

Consider first expression that is, $2b+b$ .

Substituting the value of $b=1$ ,

$2\left(1\right)+\left(1\right)=2+1=3$ ....1

Substituting the value of $b=2$ ,

$2\left(2\right)+\left(2\right)=4+2=6$ ....2

Substituting the value of $b=3$ ,

$2\left(3\right)+\left(3\right)=6+3=9$ ....3

Consider second expression that is, $3b$ .

Substituting the value of $b=1$ ,

$3\left(1\right)=3$ ....4

Substituting the value of $b=2$ ,

$3\left(2\right)=6$ ....5

Substituting the value of $b=3$ ,

$3\left(3\right)=9$ ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

3 0

3 years ago