Answer:
5
Step-by-step explanation:
Slope equation is (y2-y1)/(x2-x1)
(-1-4)/(2-3)
-5/-1
5
The equation for a trapezoid is A = a+b all over 2 times h
So, you would simply substitute.
A=15
B=12
H=8
15+12/2 (8)=
27/2 (8)=
13.5 (8)=
108.
Answer:
61
Step-by-step explanation:
A + B = 90
6 - 5x + 7 - 2x = 90
13 - 7x = 90
- 7x = 90 - 13
- 7x = 77
- x = 77 / 7
x = - 11
A: 6 - (5 * - 11) = 6 + 55 = 61
B: 7 - (2 * -11) = 7 + 22 = 29
Together they equal 90 as they should.
The different possible mixtures can you make is 1716
.
<u>Step-by-step explanation:</u>
Given that,
- The total number of flavors available in the shop = 13 flavors
- The number of flavors you need to choose = 6 flavors
Here, we have to use the formula for combination,
nCr = n! / r! × (n-r) !
where,
- n is the total number of flavors
- r is the number of flavors you need to choose
⇒ 13C6 = 13 ! / 6! × (13-6)!
⇒ 13! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 × 7! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6!
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1
⇒ 1716
Therefore, you can 1716 different possible mixtures.
