Answer:
b. x - 2y = 4
Step-by-step explanation:
The two points on the graph are (0, -2) and (4, 0).
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (0 - (-2)) / (4 - 0)
= 2 / 4
= 1 / 2
Find y intercept using anyone of the points above:
y = mx + b
-2 = 1/2(0) + b
b = -2
Use m and b to make equation of line:
y = mx + b
y = 1/2x - 2
Possible answers:
a. 4x - 2y = 4
-2y = -4x + 4
y = 2x - 2
b. x - 2y = 4
-2y = -x + 4
y = 1/2x - 2
c. -2x + 4y = -4
4y = + 2x - 4
y = 1/2x - 1
Only choice b equals the equation of line above.
Answer:
Total distance Jason cycled = 20 miles
Step-by-step explanation:
Distance covered in first 2 hours = 2( 7.5)
=15
Distance covered in the 3rd hour = 15/3
= 5
Dividing by 3 because the distance covered in the 3rd hour is 1/4 of the distance covered in first two hours. By dividing by 3 we will get 1/4 of the distance
Total Distance = Distance covered in first two hours
+ Distance covered in the 3rd hour
=15 + 5
Total Distance = 20
Answer:
y = 7/8x + 1
Step-by-step explanation:
According to y = mx + b, whereas b is the y-intercept
so if b is positive, b has to be larger than 0
A non-proportional graph is a straight line that does not go through the origin so
The #1 and #4 are wrong because they are proportional
The #2 and #4 are wrong because they have negative y-intercept
Answer:
The answer to your question is: 20°
Step-by-step explanation:
Data
m∠XZY = 40
m∠XZB = 20
Process
1.- Find the measure of ∠ XAB
∠XAB = 40° because AB ║ YZ
2.- Find the measure of ∠ZAB
∠ZAB + ∠XAB = 180
∠ZAB = 180 - ∠XAB
∠ZAB = 180 - 40
∠ZAB = 140°
3.- Find the measure of ∠ABZ
The sum of the internal angles in a triangle equals 180°
∠AZB + ∠ZAB + ∠ABZ = 180
20° + 140° + ∠ABZ = 180
∠ABZ = 180 - 20 - 140
∠ABZ = 20°
