Answer:
Step-by-step explanation:
For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.
The graph shows the proportional relationship between the number of sodas you buy and the cost of the sodas. Identify the consta
nt of proportionality and write an equation for the proportional relationship.
A: k=3; y=3x
B: k=2; y=2x
C: k=4; y=4x
D: k=7; y=7x
A: k=3; y=3x
B: k=2; y=2x
C: k=4; y=4x
D: k=7; y=7x
1 answer:
You might be interested in
Answer:
(3, 1)
Step-by-step explanation:
(a) Algebraic solution
(1) y = -⅔x + 3
(2) y = 2x - 5
Set Equation (1) equal to Equation (2)
-⅔x + 3 = 2x - 5
Multiply each side by 3
-2x + 9 = 6x - 15
Add 15 to each side
-2x + 24 = 6x
Add 2x to each side
24 = 8x
Divide each side by 3
(3) x = 3
Substitute (3) into (2)
y = 2×3 - 5 = 6 - 5 = 1
The ordered pair that makes both equations true is (3, 1).
(b) Graphical solution
In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).
