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xeze [42]
2 years ago
6

Write the equivalent expression to the sum of the expressions 3a2 + 3a and -3a - 3a2

Mathematics
1 answer:
ASHA 777 [7]2 years ago
7 0

Answer:

3 {a}^{2}  + 3a  + (- 3 {a}^{2}  - 3a) \\  = 3 {a}^{2}  - 3 {a}^{2}  + 3a - 3a \\  = 0 \\ thank \: you

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The formula for the volume of a sphere is v=4/3r3 what is the formula solved for r?
Salsk061 [2.6K]

Answer:

(3 V/ 4 pi) ^(1/3) =  r

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We want to solve for r

Multiply each side by 3/4

3/4 V = 4/3*3/4 pi r^3

3/4 V = pi r^3

Divide each side by pi

3/4 V/ pi = pi/pi r^3

3 V/ 4 pi =  r^3

Take the cube root of each side

(3 V/ 4 pi) ^(1/3) = ( r^3) ^1/3

(3 V/ 4 pi) ^(1/3) =  r

5 0
3 years ago
Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y
likoan [24]

Answer:

a.  Yes

b.  Yes

c. Yes

d. Degree 8

Step-by-step explanation:

a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.

b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.

c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6

which as can be seen, also contains variables raised to positive integers.

d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8

Therefore the degree of this polynomial is 8.

6 0
3 years ago
A rectangle has vertices a(1,2), B(1,7), c(4,7), d(4,2). what is the perimiter of the rectangle
aliina [53]

Answer:

16

Step-by-step explanation:

You see, if you were to plot these points, (1, 2) and (1, 7) would be 5 points away from each other. If you were to plot the points (4, 2) and (4, 7) those points would also be 5 points away from each other. Now, (1, 2) and (4, 2) are 3 points apart as well as (1, 7) and (4, 7). Therefore, 5 + 5 = 10, 3 + 3 = 6, and finally, 10 + 6 = 16!

7 0
3 years ago
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