Answer:
Step-by-step explanation:
Given points (0,-3) (2, 2), we can start by solving for the slope of the line by using the formula:
Let (x1, y1) = (0,-3)
(x2, y2) = (2, 2)
Plug in these values into the slope formula:
Therfore, the slope of the line is 
.
Next, we must determine the y-intercept of the line. By definition, the y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
Using the slope (m) = and one of the given points, (2, 2), plug in these values into the slope-intercept form, y = mx + b:
y = mx + b
2 = 5 + b
Subtract 5 on both sides of the equation to solve for b:
2 - 5 = 5 + b - 5
-3 = b
The y-intercept (b) = -3.
Therefore, the equation of the line that passes through (0,-3) and (2, 2) is:
.
<span>The congruent complements theorem 2 <span> angles are complements of the same angle (or of congruent angles), then the two angles are congruent.</span></span>
Hi there!
Below is the fraction we are working with:
To simplify this fraction down to its lowest form, we see what number(s) can go into the numerator and the denominator evenly. We can start off with the number 2. 2 goes evenly into each number, can't it? :)
So, we can cut down to 
.
is already in it's simplest form. Now, we can see if they're equivalent. If not, we have to start all over.
Since equals 83.3, we have to make sure does, too.
Just divide the numerator by the denominator to see what you have.
5 ÷ 6 = 83.3 with a repeating decimal, so they're equivalent!
Hope this helps!
If you need anything else, don't just sit there - Let me know! :D
Answer:
Step-by-step explanation:
The experimental probability of choosing Grace is 13.6% (17/125*100)
The theoretical probability of choosing Grace is 16.67% (1/6)
Each probability would change because they depend on the data set so if the data set changes, that means the probability will also change depending on the amount it changes.
Answer
t = 2
Step-by-step explanation
Simplify 5-(t+3).
-t+2=-1+2t-3
Subtract 3 from -1
-t+2=2t-4
Move all terms containing to the left side of the equation.
-3t+2=-4
Move all terms not containing t to the right side of the equation.
-3t=-6
Divide each term by -3 and simply.
t = 2
