The coordinate set (0, 0), (2, 1), (4, 2), (6, 3) represents a straight line. Since the first point is (0, 0) the y-intercept is 0. Now, lets solve for the slope (we can use any of the four points to solve).
Slope formula: y2-y1/x2-x1
= 2-1/4-1
= 1/2
Now that we know what the slope is, we can write the equation of the line.
Slope intercept form: y = mx + b (m = slope and b = y-intercept)
y = 1/2x
Lets find the exponential equation for the line.
y = ab²
1 = ab²
1/a = ab²/a
1/a = b²
√1/a = √b²
√1/a = b
<em>A graph of the coordinates will be below.</em>
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Best of Luck!
Answer:
a. Which number is greater? 1/4 or 5/4 -3/4 or 5/8:
<u>answer</u><u>:</u><u> </u><u>5</u><u>/</u><u>4</u>
b. Which number is farther from 0? 1/4 or 5/4 -3/4 or 5/8:
<u>answer</u><u>:</u><u> </u><u>5</u><u>/</u><u>4</u>
c. Is the number that is farther from 0 always the greater number?:
<u>answer</u><u>:</u><u> </u><u>nah</u><u> </u><u>really</u><u>.</u>
A number can be further from zero but when it's a negative or positive. But negative value is less than zero.
The answer is 6x-7y=21
In order to find this answer you need to convert the answer choices into y intercept form by isolating the y variable to one side of the equation.
6x-7y=21
-7y=-6x+21
y=6/7x-3
As you can see when you change the form of this equation, the y intercept is -3.
9514 1404 393
Answer:
Rotation 90° CCW
Step-by-step explanation:
Note that Figure 1 has a small appendage off the larger rectangle. That appendage is pointing East (to the right).
In Figure 2, that same appendage is pointing North (up).
If you are facing East and you want to face North, you will find that you need to turn 90° in the counterclockwise direction. That is the transformation that was done here:
rotation 90° CCW about the origin
Answer:
x= 10
Step-by-step explanation:
1/5 x -2/3 = 4/3
Add 2/3 to each side
1/5x -2/3 +2/3 = 4/3 +2/3
1/5x = 6/3
1/5x = 2
Multiply each side by 5
1/5x * 5 = 2*5
x = 10
