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3 years ago

Determine if each root is a rational or irrational number. Explain your reasoning. a.√36 b.√78

Mathematics

1 answer:

zmey [24]3 years ago

8 0

Answer:

a) rational

b) irrational

Step-by-step explanation:

a) 36 = 6²

So sqrt(36) = 6

b) 72 = 2 × 36

sqrt(72) = sqrt(2) × sqrt(36)

Since 2 is not a perfect square, sqrt(72) is irrational

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E=mc square m=3 c=6 solve for E

just olya [345]

Answer:

E = 3(62)

E = 3(36)

E = 108

6 0

3 years ago

The sum of seven and the quotient of a number x and 8

ryzh [129]

Answer:

The answer is 0.875.

Step-by-step explanation:

7 / 8 = 0.875.

0.875 x 8 = 7. (To check answer)

7 0

3 years ago

Which of the following is a root of the polynomial shown below?

Mademuasel [1]

Answer:

We conclude that option A is true as x = 1 is the root of the polynomial.

Step-by-step explanation:

Given the polynomial

$f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2$

Let us determine the root of the polynomial shown below.

$\:0=\:x^2\:+\:2x^2\:-\:x-2$

$0=3x^2-x-2$

switch sides

$3x^2-x-2=0$

$3x^2-x-2=\left(3x+2\right)\left(x-1\right)$

so the equation becomes

$\left(3x+2\right)\left(x-1\right)=0$

Using the zero factor principle

$3x+2=0\quad \mathrm{or}\quad \:x-1=0$

solving

$3x+2=0$

$3x=-2$

$\frac{3x}{3}=\frac{-2}{3}$

$x=-\frac{2}{3}$

and

$x-1=0$

$x=1$

The possible roots of the polynomial will be:

$x=-\frac{2}{3},\:x=1$

Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.

3 0

3 years ago

100 points! Mhanifa please help. Look at the picture attached. I will mark brainliest!

natima [27]

Answer: BC = 54 <kjm=44

Step-by-step explanation:

1st 0ne-

if you look at it as 2 triangles with D being the shared side- I can determine that the angles are congruent (by SSA theorem)

6x=9x-27 (by corresponding parts of congruent Theorem)

-3x=-27

x=9

BC- 9(9)-27= 81-27=54

2nd one-

J bisects KJM

4x+6=3x+10

x=4

3(4)+10= 22

4(4)+6= 22

KJM= 22+22= 44

5 0

3 years ago

Read 2 more answers

Roberto decided to get rid of all of his baseball cards, so he gave his four friends 32 baseball cards each. How many baseball c

brilliants [131]

Answer:

Roberto had 128 baseball cards originally

Step-by-step explanation:

What you need to do is multiply the individual number of cards that he gave to each friend by the number of friends. In this case, 32 baseball cards and 4 friends. Therefore, the equation would be 32 x 4 = 128

Hope this helps :)

4 0

2 years ago