5/7 = x/42
5/1 = x/6
X = 30
Answer:
opposite angles
Step-by-step explanation:
The first thing I would probably do is distribute (multiply) the -5/2 into the parenthesis:
= (-5/2)x + (-20/2)
Notice how I am not putting the x into the fraction. This is to make it easier to see the slope-intercept form.
Lets simplify the (-20/2) and then add 7 to both sides:
y - 7 = (-5/2)x - 10
y = (-5/2)x - 3
Your answer would then be:
y = (-5/2)x - 3
y = mx + b
Since it is now in the requested format.
Answer:
x₁ = 20 x₂ = 0
z (min) = 20
Step-by-step explanation:
According to the problem statement:
Let´s call
Objective quiz = x₁ Recall quiz = x₂
First constraint
Quantity of quizzes at least 15
x₁ + x₂ ≥ 15
Second constraint:
Preparation time at least 300 minutes, then
15*x₁ + 30*x₂ ≥ 300
Third constraint
Average score at least 85 points
7*x₁ + 5*x₂ ≥ 85
General constraint x₁ ≥ 0 x₂ ≥ 0
Objective function z is:
z = 1* x₁ + 1,5*x₂ to minimize
The model:
z = x₁ + 1,5x₂ to minimize
Subject to
x₁ + x₂ ≥ 15
15*x₁ + 30*x₂ ≥ 300
7*x₁ + 5*x₂ ≥ 85
Using Atozmax (online solver) we find
x₁ = 20 x₂ = 0
z (min) = 20
Answer:
A & B
Step-by-step explanation:
cos(theta)tan(theta) can be expressed as;
cos(theta)tan(theta) = cos(theta) × (sin(theta))/cos(theta).
cos(theta) cancels out to give; sin(theta)
Thus is equivalent to option A
