Rewrite the equation in slope intercept form:
Y -6 = -3(x - -8)
Use the distributive property on the right side first:
Y -6 = -3x -24
Add 6 to both sides
Y = -3x -18
The slope is the number in front of the x variable.
Slope = -3
That is the combination of 10 over 3, which is calculated as the quotient of factorials:
n!/k!(n-k)!
where n = 10 and k = 3:
= 10!/3!(10 - 3)!
= 10!/3!*7!
= (10*9*8)/(3*2*1)
= 720/6
= 120
therefore there a re 120 possible different groups
Answer:
88 
Step-by-step explanation:
Given 3 measurements 6,11,4
Assuming them to be length, width and height of pyramid
⇒
Length= 6 cm
Width= 11cm
Height= 4 cm
⇒
Therefore Volume of Given Pyramid
=
⇒Volume of pyramid=88
Answer:
Step-by-step explanation:
To find measures of angles m and n
The triangle to the left has three sides of equal length.
This means that it will also have three angles of equal measure.
The internal angles of a triangle sum to 180°
So the internal angles of the left triangle are 180/3 = 60°
The top right angle is made up of one of the 60° angles and angle n
60 + n = 90
n = 30°
Again the internal angles of a triangle sum to 180°, so the right triangle
m + n + 90 = 180
m = 180 - 90 - 30
m = 60°
or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.
Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore
m = 60°
