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Dennis_Churaev [7]
3 years ago
13

On a graph how do you graph 3x-6yequals -3

Mathematics
1 answer:
levacccp [35]3 years ago
8 0
First i'd recommend rearranging the equation into slope-intercept form so it's easier to conceptualize cuz you can see the slope and y-intercept of its graph. Then make a table and plug a range of x's into the equation to get a y coordinate. When you have all of the ordered pairs, just plot them and draw a line through them and you're done.

3x-6y=-3                                        x | y
-6y=-3-3                                        -4  -1.5
y=(1/2)x+(1/2)                               -3  -1
       ^          ^                                 -2  -.5
    slope    y-intercept                    -1   0
                                                      0   .5
                                                      1    1
                                                      2    1.5
                                                      3     2
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What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?
otez555 [7]

Answer:

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

Step-by-step explanation:

When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.

Let (x,y) be a point on the plane

and

y = -x be a line on the plane

When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated

So (x,y) will become (-y,-x)

Given point is:

(2,3)

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

4 0
3 years ago
Two figures are similar, and the scale factor is 2/3
d1i1m1o1n [39]

Answer:

The answer is 8.

Step-by-step explanation:

The scale factor between the figures is 2/3, this means that the ratio of the smaller figure to the larger figure is 2/3:

\frac{smaller\:figure}{larger\:figure}=\frac{2}{3}.

So when a side of the the larger figure is 12 then:

\frac{smaller\:figure\: side}{12}=\frac{2}{3}

Therefore

smaller\:figure\:side=\frac{2}{3}*12=8.

Thus the length of the corresponding smaller side is 8.

3 0
3 years ago
Read 2 more answers
how much money has to be invested at 5.9% interest compounded continuously to have 15,000 after 12 years?
Scrat [10]
Hi there

The formula is
A=pe^rt
We need to solve for p where
A future value 15000
P present value?
E constant
R interest rate 0.059
T time 12 years
So when you solve for p you get
P=A÷e^rt
P=15,000÷e^(0.059×12)
P=7,389.43

Hope it helps
6 0
3 years ago
Read 2 more answers
find the factors of each number. Write the common factor ( CF ) and then state the greatest common factor ( GCF) .
Reptile [31]

Given:

Two numbers are 12 and 21

To find:

The factors of 12 and 21, then find the common factor and the greatest common factor.

Solution:

Two numbers are 12 and 21. The prime factors of these two numbers are

12=2\times 2\times 3

21=3\times 7

From the above factorization, it is clear that the factor 3 is common in both. So,

Common factor (CF) = 3

Only 3 is common in factorization of both. So,

Greatest common factor (GCF) = 3

Therefore, the common factor is 3 and the greatest common factor is also 3.

6 0
3 years ago
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