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ss7ja [257]
3 years ago
14

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
8 0
I hope this helps you

Olin [163]3 years ago
7 0

Answer: the correct answer is d 6x2-5x2+2

Step-by-step explanation:

That’s the only group that factors the expression above

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Help please:))
Blababa [14]

Answer:

a) Because this asks about the radius and height, I assume that we are talking about a cylinder shape.

Remember that for a cylinder of radius R and height H the volume is:

V = pi*R^2*H

And the surface will be:

S = 2*pi*R*H + pi*R^2

where pi = 3.14

Here we know that the volume is 1000cm^3, then:

1000cm^3 = pi*R^2*H

We can rewrite this as:

(1000cm^3)/pi = R^2*H

Now we can isolate H to get:

H = (1000cm^3)/(pi*R^2)

Replacing that in the surface equation, we get:

S = 2*pi*R*H + pi*R^2

S = 2*pi*R*(1000cm^3)/(pi*R^2) + pi*R^2

S = 2*(1000cm^3)/R + pi*R^2

So we want to minimize this.

Then we need to find the zeros of S'

S' = dS/dR = -(2000cm^3)/R^2 + 2*pi*R = 0

So we want to find R such that:

2*pi*R = (2000cm^3)/R^2

2*pi*R^3 = 2000cm^3

R^3 = (2000cm^3/2*3.14)

R = ∛(2000cm^3/2*3.14) = 6.83 cm

The radius that minimizes the surface is R = 6.83 cm

With the equation:

H = (1000cm^3)/(pi*R^2)

We can find the height:

H = (1000cm^3)/(3.14*(6.83 cm)^2) =  6.83 cm

(so the height is equal to the radius)

b) The surface equation is:

S = 2*pi*R*H + pi*R^2

replacing the values of H and R we get:

S = 2*3.14*(6.83 cm)*(6.83 cm) + 3.14*(6.83 cm)^2 = 439.43 cm^2

c) Because if we pack cylinders, there is a lot of space between the cylinders, so when you store it, there will be a lot of space that is not used and that can't be used for other things.

Similarly for transport problems, for that dead space, you would need more trucks to transport your ice cream packages.

3 0
2 years ago
Please help me in this one
ANEK [815]
The best choices are table 1.

All the input values are being multiplied by themselves by the output values.

This creates a congruent and linear correlation and congruence. 

I hope this helps!

Brainliest answer is always appreciated!
8 0
3 years ago
A map of an airport is laid out in a coordinate plane. An aeroplane starts at a gate at (0, 0.1). To reach a runway, the plane t
I am Lyosha [343]

Take the numbers and divide them i believe

4 0
2 years ago
Read 2 more answers
What is the answer to 90 is 45% of what?
ANTONII [103]
..... 40.5 ...............
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3 years ago
Read 2 more answers
If x-y doesn't equal 0 then x^2-y^2 / x-y =
NARA [144]
Recognize the differnce of 2 perfect squares

a²-b²=(a-b)(a+b)

so
\frac{x^2-y^2}{x-y}=\frac{(x-y)(x+y)}{x-y}=(\frac{x+y}{1})(\frac{x-y}{x-y})=(x+y)(1)=x+y
3 0
3 years ago
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