Answer:
#5) Its line “k”
Well to solve this you need to know what negative slopes are.
They decrease from height from left to right
And also a slope is always calculated like this
rise -> run
Think of it like a bed.
You have to wake up which means you have to rise and then you run to do whatever it is you gotta do.
Rise is going vertical and run is going horizontal.
So for line K you have it because since its negative its -3/1 so technically its -3 rise(basically fall since its negative), 1 run (right).
#6) 1/2 is the slope of line N. Or (c)
Well n is a potsive slope so we can automatically remove a and b.
And we can count like this, it started from the orgin it looks like (but you can use any given point really) and then just follow it, rise 1 and run 2. Rise 2 and run 3 doesn’t work so it has to be 1.2 or (c)
The answer is 83/1000 in it's simplest form.
<h3>Answer:</h3>
1.9
Step-by-step explanation:
<h3>The above is direct and inverse variation.</h3>
A = kB/C -----------(1)
A=12
B = 3
C= 2
substitute A, B and C into equation (1).
12 = K × 3/2
12 = 3k/2
12×2 = 3k
3K = 24
dividing bothsides by 3
3K/3 = 24/3
K = 8
substitute K = 8 into equation (1)
A = 8B /C --------------(2)
Equation (2) is the equation connecting
A,B and C.
Finding B when A = 10 and C = 1.5
10 = 8B / 1.5
10× 1.5 = 8B
15 = 8B
Dividing bothsides by 8 :
B = 15/8
B = 1.875
B = 1. 9 ( approximately)
Answer:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Step-by-step explanation:
Hello!
We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.
We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:
- The radial coordinate which is often denoted by r.
- The angular coordinate by θ.
So we need to find r and θ. So we know that:
(1)
x = rcos(θ) (2)
x = rsin(θ) (3)
From the statement we know that (x, y) = (3, -3).
Using the equation (1) we find that:
Using the equations (2) and (3) we find that:
3 = rcos(θ)
-3 = rsin(θ)
Solving the system of equations:
θ= -45
Then:
r = 3\sqrt{2}[/tex]
θ= -45 or 315
Notice that there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.
So, the solution is:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Answer:
a is greater than or equal to 140
Step-by-step explanation:
Multiply both sides by 7, which cancels out the 7 and turns 20 into 140
