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4 years ago

Combine like terms.

Mathematics

2 answers:

Rus_ich [418]4 years ago

6 0

$4a+b+a=5a+b$

Vesna [10]4 years ago

5 0

To combine these terms you would add up the a's and b's.
4a+b+a is the same as 4a+a+b. Anything without a constant in front has a value of 1. You have 4a's and you need to add another a. That equals 5a's. The b is left alone since you can only add like variables.
The answer would be C) 5a +b

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calculate the base and perimeter of an isosceles triangle having area 192 cm square. ln which the ratio of base and height is 3:

maksim [4K]

Step-by-step explanation:

Given that,

The area of an isosceles triangle, A = 192 cm²

The ratio of base and height is 3:2.

The area of a triangle is given by :

$A=\dfrac{1}{2}\times b\times h$

Let base = 3x and height = 2x

So,

$192=\dfrac{1}{2}\times 3x\times 2x\\\\3x^2=192\\\\x^2=64\\\\x=8$

Base = 3x = 3(8) = 24 cm

Height = 2x = 2(8) = 16 cm

Let equal sides be 16 cm and base be 24

So,

Perimeter = sum of all sides

= 16+16+24

= 56 cm

Hence, this is the required solution.

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3 years ago

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insens350 [35]

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4 years ago

How Many Miles in 80km?

Fiesta28 [93]

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beks73 [17]

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Step-by-step explanation:

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3 years ago

Describe the steps you would use to factor 2x3 + 5x2 – 8x – 20 completely. Then state the factored form.

WARRIOR [948]

The polynomial $2x^3 + 5x^2-8x-20$ may have solutions which are the divisors of -20, therefore -20 has the following divisors: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .
If x=1, then $2\cdot1^3 + 5\cdot1^2-8\cdot1-20=-20\neq 0$ ,
if x=-1, then $2\cdot(-1)^3 + 5\cdot(-1)^2-8\cdot(-1)-20=-9\neq 0$ ,
if x=2, then $2\cdot2^3 + 5\cdot2^2-8\cdot2-20=0$ , then x=2 is a solution and you have the first factor (x-2).
If x=-2, then $2\cdot(-2)^3 + 5\cdot(-2)^2-8\cdot(-2)-20=0$ , then x=-2 is a solution, so you have the second factor (x+2).
Since x-2 and x+2 are two factors of $2x^3 + 5x^2-8x-20$ , then the polynomial $x^2-4$ is a divisor of $2x^3 + 5x^2-8x-20$ and dividing the polynomial $2x^3 + 5x^2-8x-20$ by $x^2-4$ you obtain
$2x^3 + 5x^2-8x-20=(x-2)(x+2)(2x+5)$ .

5 0

3 years ago

Read 2 more answers