Answer:
Part 1)
Part 2)
Step-by-step explanation:
<u><em>Analize two problems</em></u>
Part 1) If y varies directly with x, and If y=-8 and x= -3 what’s x when y= 6
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
step 1
Find the value of the constant of proportionality k
For x=-3, y=-8
substitute the given values
step 2
Find the linear equation
step 3
Find the value of x when y=6
substitute the value of y in the linear equation
solve for x
simplify
Part 2) If y varies inversely with x, and If y=-8 and x= -3 what’s x when y= 6
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or
step 1
Find the value of the constant of proportionality k
For x=-3, y=-8
substitute the given values
step 2
Find the equation
step 3
Find the value of x when y=6
substitute the value of y in the equation
solve for x
Question 1)
Given the points
Finding the slope between (3, 5) and (3, -6)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-6 - 5] / [3 - 3]
= -11 / 0
= undefined or ∞
Thus, the slope of the line = m = undefined.
Note: The undefined slope means the line is vertical.
Question 2)
Given the points
Finding the slope between (-6, 2) and (8, 2)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 2] / [8 - (-6)]
= 0 / 14
= 0
Thus, the slope of the line = m = 0.
Note: The zero slope means the line is horizontal.
Two angles are complementary when they add up to 90° ⇒
∠A + ∠B = 90°
3x + 5 + 2x - 15 = 90
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100/5
x = 20
<span>m∠A = 3x + 5 = 3*20 + 5 = 60 + 5 = 65</span>°<span>
</span><span>m∠B = 2x - 15 = 2*20 - 15 = 40 - 15 = 25</span>°<span>
</span>
Ordering laptops. Much more expensive. Higher consequences.
Answer:
-3/5
Step-by-step explanation:
3/ -5 is also equal to -3/5 or - (3/5)