The slopes of lines perpendicular to each other are opposite reciprocals. So, if you are given that the slope of a line is 3 and need to find the slope of a line perpendicular to that line, you'd flip that number around and negate it, leaving you with -1/3.
To find the slope of the given line, first get it into slope-intercept form (y - mx + b, where m is the slope and b is the y-intercept).
3y = -4x + 2
y = -4/3x + 2/3
The slope is -4/3. To find the slope of a perpendicular line, find its opposite reciprocal. It is 3/4.
Answer:
3/4 (the first option)
Answer:
Answer B and C
Step-by-step explanation:
Z is the center of the circle passing through H,G,J:
HZ=85=ZG=ZJ ==> ZJ=85 : B is true
HK=KG=136/2=68: C is true.
Since a ton is 2000 pounds, 2000/4=500. 500*3=1500 The pumpkin weighs 1,500 pounds.
You can also just do 2000*3/4=6000/4=1,500
Answer:
Time at which the hammer reaches the ground is 2.3 seconds.
Step-by-step explanation:
We are given the formula as,
.
It is known that, when height i.e.
meter, then velocity
m/sec.
So, we get the formula as,
.
Now, when the hammer hits the ground, the height
meter.
Thus, we have,

⇒ 
⇒ 
⇒ 
i.e. t= ±2.3 sec
Since, time cannot be negative.
So, t= 2.3 sec
Hence, the time at which the hammer reaches the ground is 2.3 seconds.
Answer:
6 is the answer. Hope this helps.