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2 years ago

6

X+y=12 3x = 2y + 6 system of elimination

1 answer:

Tasya [4]2 years ago

3 0

Answer:

(x,y)=(6,6)

Step-by-step explanation:

there you go

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The circumference of a circle is 26 pi what is the area in square inches of the circle

melisa1 [442]

circumference=

$2\pi \: radius$

$26\pi = 2\pi \: raduis \:$

$\frac{26\pi}{2\pi} = raduis$

radius = 13

area of circle =

$\pi {raduis}^{2}$

area of circle=

$\pi {13}^{2}$

area of circle=

$169\pi$

8 0

2 years ago

Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking.

Anastasy [175]

The answer is A = x since the opposite sides of a rectangle are the same length.
We'll have B = 9x+2 since this must add to x+4 to result in 10x+6. You could also do (10x+6) - (x+4) and you'll end up with 9x+2.
On the far left side, (5x-3)+A = 5x-3+x = 6x-3. The far right side must add to this. So, x+C+x-2 = 6x-3 turns into C = 4x-1 after isolating C.
Multiply out (5x-3) with (9x+2) to get the full area of 45x^2-17x-6. The steps are shown below

(5x-3)(9x+2)

5x(9x+2)-3(9x+2)

45x^2+10x-27x-6

45x^2-17x-6

You could also use the FOIL rule to get this answer. The box method is another alternative.

4 0

2 years ago

Write the equation using polar coordinates y^2=16x

baherus [9]

<span>r²sin²θ = 16rcosθ </span>

<span>rsin²θ = 16cosθ </span>

<span>r = 16cosθ / sin²θ </span>

<span>r = 16cotθcscθ</span>

8 0

3 years ago

given the points A(0,0) and B(8,4), show that P(2,6) is on the perpendicular bisector of the segment AB.

Serggg [28]

Answer:

Lil Nas X - THAT’S WHAT I WANT..................

Step-by-step explanation:

7 0

2 years ago

50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

C)

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

2 years ago