Answer:
Step-by-step explanation:
You will use the FOIL method, which is very similar to the distributive property.
In order to do multiply correctly, multiply the y by 3x, 5y, and -2. You should get:
Then multiply the -4 by 3x, 5y, and -2 where you should get:
By using the foil method, you got rid of the parentheses. Now you can simply combine like terms and get your final answer:
I hope this helps you!
The expected value is the sum of values multiplied by their probabilities.
... 15×(1/5+1/5) + 5×(3/5) = 6+3 = 9
The expected value of a single spin is 9 points.
To reflect in the line y = -x + 6, we translate everything down 6 first.
This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
With this definition, there is nothing (meaning: no real numbers) larger than infinity. hope that says it all. have a nice day :D
Answer:
The sum of the interior angles of a triangle is 180 degrees.
d. Scalene
e. Isosceles
f. Isosceles
g. Equilateral
h. Scalene
i. Equilateral
j. Right
l. Acute
m. Obtuse - doesn't add to 180 not a triangle
n. Acute - doesn't add to 180 not a triangle
o. Obtuse
Step-by-step explanation:
The interior angles of a triangle add to 180 degrees. There are two ways we classify triangle by side lengths and angle measures.
Side lengths: Compare the side lengths and see if any are equal to determine the type.
- Scalene: 3 different lengths
- Isosceles: 2 equal lengths and 1 different
- Equilateral : 3 equal sides
Angle Measures: Compare the angles measures to 90 degrees.
- Right: If one angle is equal to 90
- Acute: All angles are less than 90 degrees
- Obtuse: One angle is greater than 90 degrees
