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iogann1982 [59]

3 years ago

14

True or false: The cross section of a 3D object may look different depending on the direction (horizontal or vertical) of the cu

t.
Options:
True
False

2 answers:

sasho [114]3 years ago

7 0

True it’s not certain

Rom4ik [11]3 years ago

3 0

True, because it’s not certain it will be symmetrical.

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Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

3 years ago

Max can type 160 words in 5 minutes. How long would it take him to type 400 words? * A. 12.50 minB. 13 minC. 10.50 minD. 12 min

blagie [28]

To find how long it would take him, one has to divide 400 by 160 and then multiply 5 by what that number is. You multiply 5 by the quotient because that is the number that would make it proportional. 400/160 x 5 is 12.5, meaning that the answer is 12.5 minutes, or A.

5 0

3 years ago

If cos of 60 is 1÷2 then who do i solve for b÷26=.5?

Nonamiya [84]

Its 13 cause 26 times.5 is 13

7 0

3 years ago

(9x-9)(9×+9), your finding the difference between two squares. im have some trouble in how to solve it.

sergejj [24]

Answer: Your answer is 0 (F.O.I.L) first. outer. inner. last. Or you could use what my teacher calls the magic box

Step-by-step explanation:

So for the boxes you multiply for example the top left box you multiply the 9 above it and the 9 to the left or like the top right box you multiply the -9 above it and the 9 on the outside of the box to the left

8 0

3 years ago

4 what’s the answer to this question

lesantik [10]

D. 1/2

We have 4 different suits and we want to know probability of getting a heart or diamond.

We have 2/4 or 1/2 or 50% chance to pick up a heart or diamond card.

8 0

3 years ago