Answer:
The answer is
<h2>y + 2x = 2</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is 2x + y = 1
We must first write the equation in the general form above
That's
y = - 2x + 1
Comparing with the general equation above
Slope = - 2
Since the lines are parallel their slope are also the same
Slope of parallel line = - 2
So the equation of the line using point
( - 1 , 4) and slope - 2 is
<h3>
</h3>
We have the final answer as
<h3>y + 2x = 2</h3>
Hope this helps you
Answer:
16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.
Step-by-step explanation:
We are given that the breaking strength of its most popular porcelain tile is normally distributed with a mean of 400 pounds per square inch and a the standard deviation of 12.5 pounds per square inch.
Let X = <u><em>the breaking strength of its most popular porcelain tile</em></u>
SO, X ~ Normal(
)
The z score probability distribution for normal distribution is given by;
Z = 
~ N(0,1)
where, 
= mean breaking strength of porcelain tile = 400 pounds per square inch
= standard deviation = 12.5 pounds per square inch
Now, probability that the popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch is given by = P(X > 412.5)
P(X > 412.5) = P( > 
) = P(Z > 1) = 1 - P(Z 
1)
= 1 - 0.84 = <u>0.16</u>
Therefore, 16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.
Answer:
(6, -2)
Step-by-step explanation:
To get to x=1 from x=-2, you must add 3 to the x-coordinate. Only one answer choice has an x-coordinate that is 3 more than that of the given point:
3 + 3 = 6
The image point is (6, -2).
_____
<em>Check</em>
To get from a y-coordinate of 5 to an image point y-coordinate of 1, you must subtract 4. If you subtract 4 from the y-coordinate of (3, 2), you get 2-4 = -2, the y-coordinate in the chosen answer above.
I will solve for you right now.
