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4 years ago

5

PLEASE HELP

1 answer:

Readme [11.4K]4 years ago

5 0

Answer:

x=5

Step-by-step explanation:

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What happens as the foci of an ellipse move towards its vertices?

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The FOC I adapts to the eclipse transforms

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4 years ago

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PLEASE HELP ME I WILL MARK BRAINLYEST

Korvikt [17]

Question 9:

Given the equations

$5x+2y=6;$

$4x-8y=0$

solving the system of the equations

$\begin{bmatrix}5x+2y=6\\ 4x-8y=0\end{bmatrix}$

$\mathrm{Multiply\:}5x+2y=6\mathrm{\:by\:}4\:\mathrm{:}\:\quad \:20x+8y=24$

$\mathrm{Multiply\:}4x-8y=0\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:20x-40y=0$

$\begin{bmatrix}20x+8y=24\\ 20x-40y=0\end{bmatrix}$

$20x-40y=0$

$-$

$\underline{20x+8y=24}$

$-48y=-24$

$\begin{bmatrix}20x+8y=24\\ -48y=-24\end{bmatrix}$

$-48y=-24$

$\frac{-48y}{-48}=\frac{-24}{-48}$

$y=\frac{1}{2}$

$y = 0.5$ ( 0.5 is the result of rounding 0.5 to the nearest 0.01)

$\mathrm{For\:}20x+8y=24\mathrm{\:plug\:in\:}y=\frac{1}{2}$

$20x+8\cdot \frac{1}{2}=24$

$20x+4=24$

$\frac{20x}{20}=\frac{20}{20}$

$x=1.00$ ( 1.00 is the result of rounding 1 to the nearest 0.01 )

So, the solution is:

(x, y) → (1.00, 0.5)

Question 10)

Similarly the question 10 can be solved.

Given the equations

$5x+2y=9;\:4x-3y=44$

solving

$\begin{bmatrix}5x+2y=9\\ 4x-3y=44\end{bmatrix}$

$\mathrm{Multiply\:}5x+2y=9\mathrm{\:by\:}4\:\mathrm{:}\:\quad \:20x+8y=36$

$\mathrm{Multiply\:}4x-3y=44\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:20x-15y=220$

$\begin{bmatrix}20x+8y=36\\ 20x-15y=220\end{bmatrix}$

$20x-15y=220$

$-$

$\underline{20x+8y=36}$

$-23y=184$

$\begin{bmatrix}20x+8y=36\\ -23y=184\end{bmatrix}$

$-23y=184$

$y=-8.00$ ( -8.00 Rounded to the nearest 0.01 or the Hundredths Place )

$\mathrm{For\:}20x+8y=36\mathrm{\:plug\:in\:}y=-8$

$20x+8\left(-8\right)=36$

$20x=100$

$x=5.00$ ( 5.00 Rounded to the nearest 0.01 or the Hundredths Place )

So, the solution is:

(x, y) → (5.00, -8.00)

8 0

3 years ago

Tommy took one of his friends out to dinner. The dinner cost $100 and he paid 3% sales tax. If Tommy left an 18% tip on the $100

nalin [4]

Answer:

121

Step-by-step explanation:

3% of 100 = 3

18% of 100 = 18

100+3+18=121

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Put the following equation of a line into slope-intercept form, simplifying all

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Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

To put this into slope-intercept form, you need to isolate/get the variable "y" by itself in the equation:

8x - 6y = 6 Subtract 8x on both sides

8x - 8x - 6y = 6 - 8x

-6y = -8x + 6 Divide -6 on both sides to get "y" by itself

$\frac{-6y}{-6} =\frac{-8x+6}{-6}$

$y=\frac{-8}{-6} x+\frac{6}{-6}$

$y=\frac{4}{3}x -1$

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How to write ten thousand in numbers

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You write ten thousand in numbers like this 10,000

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