Answer:
m= -1/2
Explanation:
Use the <u>slope formula</u> to find the <u>slope</u> m
<u><em>Answer:</em></u>
volume of prism = 378 cm³
<u><em>Explanation:</em></u>
<u>The volume of the right prism can be calculated as follows:</u>
volume of prism = area of base * height of prism
<u>1- getting the area of base:</u>
Our base is a triangle, this means that:
area = 0.5 * base * height
We have:
base = 9 cm
height = 6 cm
Therefore:
area of base = 0.5 * 9 * 6
area of base = 27 cm²
<u>2- getting the volume:</u>
volume of prism = area of base * height of prism
volume of prism = 27 * 14
volume of prism = 378 cm³
Hope this helps :)
Answer:
- 7
Step-by-step explanation:
6(- x - 3) = 24
-6x - 18 = 24
-6x = 24 + 18
-6x = 42
x = 42 ÷ - 6
x = - 7
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:
12x11x10x9x8 different combinations.
Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.
(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.
Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)
C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
Answer:
is the number 4
so 13/16 3/16
Step-by-step explanation: