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4 years ago

For all real numbers a and b, if ab=0, then a=0 or b=0. True or false?

Mathematics

2 answers:

Sonbull [250]4 years ago

6 0

False I think because the variables are right next to each other which means it's multiplying and 0×0 equal 0

Alinara [238K]4 years ago

3 0

True. For example, if 2 is a, and b was 0, then ab would automatically be 0. Both a and b can be 0 though, but at least one of them must be zero.

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Solve the division problem using the area model strategy. Upload a picture or video to show your work.

ohaa [14]

Answer:

45.333...

Step-by-step explanation:

Try using a long division problem then try the area model strategy

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3 years ago

What is standard notation?

Marizza181 [45]

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3 years ago

Explain whether the following given sets are closed under addition:

Ivan

Answer:

Step-by-step explanation:

a) Yes.

$\forall\ a,b\ \in\ B,\ a+b\in B\ (since\ 0+0=0)$

b) Yes

$W=\{0,1,2,3,..,\}\ (whole\ numbers)\\\forall\ a,b\ \in\ 3W,\ a+b\in 3W\\since:\\a\ \in\ 3W \Longrightarrow\ \exists\ k_1\in W | a=3*k_1\\\\b\ \in\ 3W \Longrightarrow\ \exists\ k_2\in W | b=3*k_2\\\\a+b=3*k_1+3*k_2=3*(k_1+k_2) \in 3W\\$

c) Yes

$\forall n\ \in\ \mathbb{N}: \Longrightarrow\ n+1 \in\ \mathbb{N}\\$

d) No

$3\in V , 3+3=6\notin V\\$

7 0

3 years ago

If line GH is perpendicular to line HJ, then GJ is ____ HJ.

valentinak56 [21]

Option A: >

Solution:

Given a triangle GHJ.

The line GH is perpendicular to line HJ.

This means the triangle is a right angled triangle.

In ΔGHJ, GH is the base of the triangle and

HJ is a height of the triangle.

Then the third side must be the hypotenuse of the right triangle.

We know that by the Pythagoras theorem,

$(\text {Hypotenuse})^2=(\text{Base})^2+(\text{Height})^2$

$(\text {GJ})^2=(\text {GH})^2+(\text {HJ})^2$

This clearly shows that the hypotenuse is greater than the height.

⇒ GJ > HJ

Option A: > is the correct answer.

If line GH is perpendicular to line HJ, then GJ is > HJ.

3 0

3 years ago

Find the volume of the cone. when r=6 and h=4 Either enter an exact answer in terms of pi or use 3.14 point and round your final

Ksenya-84 [330]

4*3.14=12.56
h=12.56 this is the answer

7 0

3 years ago