EXPLANATION: By definition two lines are said to be parallel when the distance between two lines is same when measured from any point on one line.
However the criteria for intersection is that the distance between two lines should change and eventually should change to zero at intersection point.
Step-by-step explanation:
.
15: M= 2
B= -5
Slope intercept form= y=2x-5
16: y=5/8x + 1/2
Answer:
The estimate of a population proportion is approximately 541.
Step-by-step explanation:
We can solve the the problem by using the formula for minimum sample needed for interval estimate of a population proportion which is given by the formula
n = pq ((Z/2) / E)^2
As, p is not defined so we use the standard p and q which is 0.5 and 0.5.
The reason for this is we have to choose form 0.1 to 0.9 both values of p and q, we will find the maximum value of pq occurs when they both are 0.5.
Next, we will find the value of (Z/2) by looking at the Z-table, we will find that at 98% confidence (Z/2) = 2.326. Now we start substituting the values in the above formula
n = (0.5)×(0.5) × (2.326/0.05)^2
n = 541.027
n ≅ 541.
Answer:
Vertical : Angles 1 & 4 Supplementary: 5 & 6
Step-by-step explanation:
Vertical angels are angles that have the same measure that are opposites of each other (1 & 4) and supplementary angles are 2 angles that equal 180 degrees that are right next to each other or right above each other (5 & 6) (3 & 5)
Answer:
See below
Step-by-step explanation:
I believe that you only had to do letters F, H, and J. In that case, let's go over each one!
F: For isolating
, we need to get rid of the 1/2 first. Let's multiply each side by 2:
After this, we just subtract 
from each side to get 
. Dark Blue is correct! Let's now plug in those numbers below:
G: Let's isolate the vw^2 on one side by subtracting y from each side:
Let's now divide each side by v, then put each side under a square root to get our final answer:
Orange is correct! Again, let's solve the problem underneath:
w=
H: This one has some stuff that we haven't worked with quite yet (like terms), but our approach is the same: isolate c on one side of the equation.
Purple is correct! Let's solve the problem:
