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jenyasd209 [6]
3 years ago
13

Need help with this so pls help!!!

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0
You need to simplify the expression and then you will know what the y coordinates are. I’m not good at this But you just need to solve the equation to be able to get the same coordinates by themselves. It’s sorta like geometry and algebra mixed. But first simplify the equations and then that will really help you.




Have a great day!
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Combinatorics: what is the coefficient of (a^2)(b^3)(c) in (2a - b + 3c)^6?
Karolina [17]

Answer:

The coefficient of a²b³c is -720

Step-by-step explanation:

Given: (2a-b+3c)^6

Let 2a-b = x and 3c = y

(x+y)^6

General term of binomial expansion.

  • T_{r+1}=^nC_rx^{n-r}y^r

where, n=6 , r=1 ( because exponent of c is 1)

\Rightarrow ^6C_1x^{6-1}y^1

\Rightarrow 6(2a-b)^{5}3c         \because y=3c, x=2a-b

\Rightarrow 18(2a-b)^{5}c  ----------(1)

Now, we simplify (2a-b)⁵

T_{r+1}=^5C_r(2a)^{5-r}(-b)^r

The exponent of b is 3 and a is 2 .

If we take r=3 will get exponent of b is 3 and a is 2

So, put r=3

T_{4}=^5C_3(2a)^{2}(-b)^3=-40a^2b^3

Substitute into equation (1)

\Rightarrow 18\cdot -40a^2b^3c

\Rightarrow -720a^2b^3c

Hence, The coefficient of a²b³c is -720

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The height of a cone is twice the radius of its base.
lara [203]

Answer:

A. \frac{2}{3} \pi x^3

Step-by-step explanation:

From the way the answers are presented, it can be seen that x refers to the radius of the base of the cone

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and we are told that the height is twice the radius, so:

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and now we use the formula to calculate the volume of a cone:

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so we substitute thisvalues  in the formula for the volume:

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which is option A.

6 0
3 years ago
Identify the initial value and rate of change for the graph shown. A coordinate plane graph is shown. A line is graphed that pas
egoroff_w [7]
Y int at (0,4).....thru points (4,1)
slope = (1 - 4) / (4 - 0) = -3/4
initial value 4, slope(rate of change) is -3/4 <==
=======================
y = 22,000x + 40,000
=======================
y = 12x + 48
slope(rate of change) = 12
=======================
(1,10)(2,8)
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y = mx + b
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slope(rate of change) = -2
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I am not getting any of ur answer choices ...
======================
y = x + 6
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8 0
3 years ago
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