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Pavlova-9 [17]
2 years ago
12

Factorize:a⁴-a³+2a²​

Mathematics
2 answers:
gavmur [86]2 years ago
7 0

{a}^{4}  \:  -  \:  {a}^{3}  \:  +  \:  {2a}^{2}

  • Factor the expression with the common factor that is "a²".

\boxed{ \bold{ {a}^{2}  \:  \times  \: ( {a}^{2}  \:  -  \: a \:  +  \: 2)}}

<h3><em><u>MissSpanish</u></em> </h3>
r-ruslan [8.4K]2 years ago
3 0

Answer:

<u>a²​(a²​-a+2) </u>

Step-by-step explanation:

Solution Given:

a⁴-a³+2a²​

first taking common a²​

we get

<u>a²​(a²​-a+2) </u>which is a required answer.

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Choose the two rectangular prisms that have a volume of 36cm^3?
oee [108]

Answer:

<em>Correct choices: B, D</em>

Step-by-step explanation:

<u>The Volume of a Rectangular Prism</u>

Given a rectangular prism of dimension W, L, and H, the volume is calculated as:

V = WLH

Each small cube of the figure has a volume of 1 cube centimeter. We need to calculate the volume of each solid and determine which ones have a volume of 36 cube cm.

A: V = 5*3*4 = 60 cube cm

B: V = 3*3*4 = 36 cube cm

C: V = 3*4*2 = 24 cube cm

D: V = 6*2*3 = 36 cube cm

E: V = 2*4*2 = 16 cube cm

Correct choices: B, D

8 0
2 years ago
8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then
atroni [7]

Answer:

If a + b = 0 then a = 0 and b =0

a  | b | a + b (answer)

0 | 0 | 0

0 | 1  | 1

0 | 2 | 2

1  | 0 | 1

2 | 0 | 2

1  | 1  | 2

2 | 1  | 3

 

Step-by-step explanation:

Considering the following conditions for the real numbers:

a\geq 0\\b\geq 0

Following the rules of these in-equations, it is possible to deduce:

a + b \geq 0

Then, if the proposed statement is:

a + b = 0

The conditions above shall comply the requirements established, but first, analyzing the statement:

If a \geq 0 and b \geq 0 then a + b \geq a, a + b \geq b and a + b \geq 0.

If a = 0 and b a non negative real number, then a + b \geq b, but because to a = 0, then a + b = b. Due to the commutative property of sums, the same behavior will be presented if b = 0 and a a non negative real number.

According to that, if  a + b = 0, then a = 0 and b = 0.

7 0
3 years ago
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. The radius of the Earth is 3959 mi.
RoseWind [281]
We are given
height = 3.7 mi
radius = 3959 mi

We are asked for the distance between the man and the horizon
The straight line from the man to the horizon is a tangent line to the surface of the earth
Using Pythagorean theorem
(3.7 + 3959)² = 3959² + d²

Solve for d
d = 171 mi
6 0
3 years ago
Read 2 more answers
8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B.
NNADVOKAT [17]

Answer:

<em>see</em><em> </em><em>explanation</em>

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

-2 {x}^{2}  - 16x - 32 - 5 \\  f(x)= - 2 {x}^{2}  - 16x - 37

7 0
3 years ago
What is the slope and y-intercept of this line?
RUDIKE [14]
THE SLOPE IS 1 AND THE Y INTERCEPT IS -3, the x is equal to 1, and the -3 is in the place of the y intercept so your answer would be A.
6 0
2 years ago
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