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4 years ago

Student A believes v2/8 is a rational number because it can be written as a fraction

1 answer:

8 0

If so then it is not rational Square root of 2 is irrational and any number formed by multiplying or dividing it by a rational number is also irrational.

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How would the sum of cubes formula be used to factor x3y3 + 343? Explain the process. Do not write the factorization.

Svetllana [295]

Answer:

Given : Expression - $x^3y^3+343$

To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.

Solution :

The formula of sum of cubes is,

$a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)$

First we convert the given expression in $a^3+b^3$

$x^3y^3+343$

Apply exponent rule : $a^mb^m=(ab)^m$

$x^3y^3=(xy)^3$

Rewrite $343=7^3$

Therefore, $x^3y^3+343$ could be written as $=\left(xy\right)^3+7^3$

On comparison with the formula,

a=xy , b=7

$\left(xy\right)^3+7^3=(xy+7)(xy^2-xy(7)+7^2)$

$\left(xy\right)^3+7^3=(xy+7)((xy)^2-7xy+49)$

5 0

3 years ago

Read 2 more answers

Solve the quadratic equation. Write your solutions in the blanks, starting with the smaller value.

Klio2033 [76]

Answer:

x = 2 Or

x = -2

Step-by-step explanation:

Check attachment

8 0

3 years ago

Can someone help with this question? thanks

Licemer1 [7]

Answer:

Regular: C & E

Irregular: A & B

Not a polygon: F & D

Step-by-step explanation:

A polygon is a close sided shape with no curves. Since F and D have curves they are not polygons. Regular polygons have side lengths which are all equal to each other. C and E are regular polygons. Irregular polygons are polygons whose sides have different values from each other. A and B are irregular.

7 0

3 years ago

Point F is a centroid of the triangle BDE. If AB = 24 cm, what is BE?

Alex17521 [72]

Answer: i know this is way late, but it’s 48

Step-by-step explanation:

Since point A is the separation of BE, both sides of the separation are equivalent, the are congruent. Since AB=24, you add 24+24 to get 48.

(I also just answered this question on homework and got it right, this is just how I did it.)