Equation showing relationships between things you are conparing. An equals sign represents the two expeessions are equal
Bu using Pythagoras theorem
(x^2)+(21)^2=(75)^2
Therefore. 5625-441=(x)^2
X^2=5184
Therefore x=72
Third side length=72 units
Because we don't have any set numbers for x or y, I believe that the solution set for both equations are infinite.
Answer:
C, 82 cm
Step-by-step explanation:
If the area of a rectangle is it's length times it's width and for the problem, it's maximum area must be 40cm than 40x1 would offer the largest perimeter with the smallest area respectively totalling at 82 cm.
The y-intercept of the line would change but the slope would not.
Slope is the rate of change of a line. If the y-values all decrease the same amount, the rate that the line is changing will not change. For example, let's take the points (5, 6) and (3, 2). The slope is given by (6-2)/(5-3) = 4/2 = 2. Now let's decrease the y-coordinates all by 2:
(5, 4) and (3, 0)
The slope now would be (4-0)/(5-3) = 4/2 = 2.
By changing the y-values the same amount, the amount of difference between them stays the same, and so does the rate of change of the line.
Since we shifted the y-values down, however, this moves the line down on the graph, which will change the y-intercept.