Answer: The objects instantaneous velocity at that point
Step-by-step explanation:
On a position versus time graph, the displacement is the vertical difference between two points and the time interval is the horizontal difference.
The ratio of displacement to time interval is the the objects instantaneous velocity at that point. This ratio is also the slope of the line.
Hence, The slope at a point on a position versus time graph of an object is the objects instantaneous velocity at that point.
Answer:
The answer is given below
Step-by-step explanation:
From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.
The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠BYZ and ∠DZY are interior angles.
∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)
∠BYZ/2 + ∠DZY/2 = 180/2
∠BYZ/2 + ∠DZY/2 = 90°
In ΔOYZ:
∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).
But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180
90 + ∠YOZ = 180
∠YOZ = 180 - 90
∠YOZ = 90°
Therefore Angle bisectors of the same side interior angles are perpendicular.
Answer:
The answer is A
Step-by-step explanation:
There are two solutions.
Slope = 17
y - intercept = (0,1)
The two solutions is
(0,1) and (1,18)
So he is right
Given:
buy a house in 9 years.
Estimated cost of the house = 175,800
down payment = 20%
closing cost = 7%
down payment:
175,800 x 20% = 35,160
closing cost:
175,800 x 7% = 12,306
Amount to save: 35,160 + 12,306 = 47,466
monthly savings:
9 years x 12 months = 108 months
47,466 / 108 = 439.50 savings per month.
Answer:
1. x = 7
2. x = -5
Step-by-step explanation:
1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0
Pull out like factors 6x - 9 = 3 • (2x - 3)
(2x + 15 • (2x - 3)) - 179 = 0
Pull out like factors: 32x - 224 = 32 • (x - 7)
Solve: x-7 = 0
Add 7 to both sides of the equation = 7
2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0
Pull out like factors: -4x - 18 = -2 • (2x + 9)
-40 - (6x - -10 • (2x + 9)) = 0
Pull out like factors: -26x - 130 = -26 • (x + 5)
-26 • (x + 5) = 0
Solve: x+5 = 0
Subtract 5 from both sides of the equation: x = -5
Hope this helps! Please mark as brainliest.
Thanks!
