Answer:
They are parallel because their slopes are equal
Step-by-step explanation:
Answer: Sylvia should use 35 pounds of Kona coffee and 65 pounds of Columbian coffee
Step-by-step explanation:
Let x represent the number of pounds of Kona coffee that Sylvia should use.
Let y represent the number of pounds of Columbian coffee that Sylvia should use.
Sylvia wants to mix 100 pounds of Breakfast Blend coffee. This means that
x + y = 100
She is using two types of coffee to create the mixture. Kona coffee sells for $51 per pound and Columbian coffee sells for $11 per pound and the mixture would sell for $25 per pound.
This means that
51x + 11y = 2500 - - - - - - - - 1
Substituting x = 100 - y into equation 1, it becomes
51(100 - y) + 11y = 2500
5100 - 51y + 11y = 2500
- 51y + 11y = 2500 - 5100
- 40y = - 2600
y = - 2600/-40
y = 65
x = 100 - y
x = 100 - 65 = 35
Answer:
AB = √18 , BC=√18 and CA =4
AB²+BC² = CA² and AB=BC
ΔABC isosceles right angled triangle.
Step-by-step explanation:
Given vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k
A( 0,7,10), B( -1,6,6) C(-4,9,6)
AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k
AB = 
BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j
BC=
CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k
CA = 
Since AB²+BC² = CA²
And AB=BC
Therefore it follows that ΔABC is a right angled isosceles triangle
Answer:
c
Step-by-step explanation:
i think it c. hope it helps