Take y=3 and plug it into y=-3x+6. This gives you 3=-3x+6. Solve for x, you get x=1. Now plug 1 into y=-3x+6 and you get 3. Answer is (1,3)
3x² - 33x - 180 = 0
3(x² - 11x - 60) = 0
3(x² - 15x + 4x - 60) = 0
3(x + 4)(x - 15) = 0
3(x - 4) = 0 or x - 15 = 0
3x - 12 = 0 <u> + 15 + 15</u>
<u> + 12 + 12</u> x = 15
<u>3x</u> = <u>12</u>
3 4
x = 3
The answer is equal to H.15 and E. 4.
Answer: Lin is the most consistent and I would want to have them on my team.
Why is this? Because their dots are more clustered together compared to the other distributions. Elena may have made the most shots (9) at one point, but her data set is very spread out and more unpredictable. The more spread out a data set is, the higher the variance and standard deviation. The range is also affected by how spread out the data set is since
range = max - min
So in a rough sense, the range can be used to estimate the variance and standard deviation. Though more accurate formulas are usually the better way to go.
Answer:
length = (x − 8) units and width = (x − 9) units
Step-by-step explanation:
We need to factor
x^2 - 17x + 72
We need two numbers whose product is 72 and whose sum is -17.
The numbers are -8 and -9.
x^2 - 17x + 72 = (x - 8)(x - 9)
Answer: length = (x − 8) units and width = (x − 9) units
1) is false, it is always a rhombus.
2) is true, a rectangle with all sides equal would be a square.
3) is false, a kite's side lengths must be 2 pairs of unequal lengths.
4) is true, a square is a rhombus that has 90-degree angles.
5) is true, a kite must have 2 pairs of unequal lengths, but a trapezoid cannot have exactly 2 sides of equal lengths.