The segment goes from point (-1, 3) to (1,-1)
Slope = rise / run = (-3 - 1) / (1 - (-1)) = -4 / 2 = -2
Slope = -2
Answer:
The rule of translation is
.
The translated vector is
.
Step-by-step explanation:
Let supposed that translation to the right is in the +x direction and translation downwards in the -y direction.
We procced to translate the operation into mathematic terms. A translation consists in a vectorial sum on a given vector. That is:
(Eq. 1)
Where:
- Original vector, dimensionless.
- Translation vector, dimensionless.
- Translated vector, dimensionless.
If we know that
, then the rule of translation is described by:
(Eq. 2)
If
, then the new location of A is:


The translated vector is
.
Answer:
288 feet PLEASE GIVE BRAINLIEST
Step-by-step explanation:
94 x 2 = 188 ft
50 x 2 = 100 ft
188 + 100 = 288 ft
The player ran 288 feet.
This is a right triangle. If the triangle were laid down, on an end, a right angle would be visible.
Answer:
a) The mean of the probability distribution = 0.6
b) The variance of the probability distribution = 0.3
c) The standard deviation of the probability distribution = 0.5
Step-by-step explanation:
a) Data and Calculations:
number of dogs per household in a small town
Dogs Probability Expected Mean Diff Mean Diff.
Value Squared
0 0.650 0 -0.569 0.32376
1 0.216 0.216 -0.353 0.12461
2 0.087 0.174 -0.395 0.15603
3 0.026 0.078 -0.491 0.24108
4 0.014 0.056 -0.513 0.26317
5 0.009 0.045 -0.524 0.27458
The mean = 0.569 (Sum of expected value)
Variance = mean of squared differences = 0.27665 (1.38323/5)
Standard deviation = square root of variance = 0.526 = 0.5