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Burka [1]
3 years ago
13

What is the rule for the reflection ?

Mathematics
1 answer:
ollegr [7]3 years ago
6 0

Answer:

\large\boxed{r_{y-axis}\to(-x,\ y)}

Step-by-step explanation:

Look at the picture.

A(-2, 1) → A'(2, 1)

B(-4, 1) → B'(4, 1)

(x, y) → (-x, y)

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What is the equation of the line containing the points (5,2),(10,4)and (15,6)
MAXImum [283]
The y/x values all have the same ratio, 2/5. The line is

y = (2/5)x
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2 years ago
Lisa is performing a study regarding the average height of roses grown using an organic fertilizer. Her population
GuDViN [60]

Answer:

Every fifth rose in each row of roses

Step-by-step explanation:

8 0
3 years ago
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Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2
Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

6 0
1 year ago
Which function has the same y-intercept as the function y equals 2/3 x - 3​
aleksley [76]

We have the function y = \frac{2}{3} x -3 and we want to find a function that has the same y-intercept than the previous function.

First, let's find the y-intercept by subtituting 0 for 'x'.

y = \frac{2}{3} (0) -3 = -3

Now that we found that y-intercept =-3, any lineal function of the type: y = ax - 3 will have the same y-intercept. Where 'a' can take all the real values.

Also, any quadratic function of the type: y=ax^{2} + bx - 3 will have the same y-intercept. Where 'a' and 'b' can take all the real values.

6 0
3 years ago
What is the radical form of each of the given expressions? 4 1/7 AND 4 7/2 AND 7 1/4 AND 7 1/2 I WILL UPVOTE
PilotLPTM [1.2K]
Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.

4^(1/7) would become ⁷√4  .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.

4^(7/2) would become √(4⁷)  ... the 7th power goes with the number under your radical and the "2" becomes a square root

7^(1/4) would become ⁴√7  ... like the first answer, the bottom of the fraction exponent becomes the index of the radical and 7 goes beneath the radical. again, the 1 exponent goes with the 7 beneath the radical, but 7¹ = 7

7^(1/2) would become, simply, √7
4 0
3 years ago
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