Answer:
y = 3/2x + 7/2
Step-by-step explanation:
First, you need to find the slope.
y2 - y1 / x2 - x1
= 5 - 8 / 1 - 3
= 3/2
The slope is 3/2x.
To find the y-intercept, plug any one of the coordinates into the equation, which is y = 3/2x + b
y = 3/2x + b
8 = 3/2(3) + b
8 = 9/2 + b
7/2 = b
The equation y = 3/2x + 7/2.
Answer:
Option B
Step-by-step explanation:
From the picture attached,
In ΔABC,
m∠B = m∠C = 75° [Isosceles triangles]
By applying triangle sum theorem,
m∠A + m∠B + mC = 180°
m∠A + 75° + 75° = 180°
m∠A = 180° - 150°
m∠A = 30°
In triangle PQR,
m∠P = m∠Q [Isosceles triangle]
By applying triangle sum theorem,
m∠P + m∠Q + m∠R = 180°
2(m∠P) + 30° = 180°
m∠P = 75°
m∠P = m∠Q = 75°
In ΔABC and ΔRPQ,
m∠B ≅ m∠Q [Given]
m∠C ≅ m∠R [Given]
Therefore, by AA property of similarity of two triangles, both the triangles will be similar.
ΔABC ~ ΔRPQ
Option B will be the answer.
When two linear equations have only one solution the two lines on a graph would intersect each other ( they would only touch in one spot).
0.2 if 1 Mile is 5 Minutes then every 0.1 mile is 30 seconds so 1 minute would be 0.2