Answer:
The slope of the line that contains diagonal OE will be = -3/2
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
Where m is the slope and b is the y-intercept
Given the equation of the line that contains diagonal HM is y = 2/3 x + 7
y = 2/3 x + 7
comparing the equation with the slope-intercept form of the line equation
y = mx+b
Thus, slope = m = 2/3
- We know that the diagonals are perpendicular bisectors of each other.
As we have to determine the slope of the line that contains diagonal OE.
As the slope of the line that contains diagonal HM = 2/3
We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line that contains diagonal
OE will be = -1/m = -1/(2/3) = -3/2
Hence, the slope of the line that contains diagonal OE will be = -3/2
Answer:
Step-by-step explanation:
A quarter circle is one fourth of a circle. To find the area of a quarter circle, find the area of the whole circle by using the formula A = pi * r^2 and then divide by 4. To find the perimeter of the quarter circle, find the circumference of the whole circle, divide by 4, and then add the radius twice.
Answer:
A (52,2%, 55,8%)
Step-by-step explanation:
To get the confidence interval, we have to add the margin of error to the point estimator.
The middle of the interval is 54%, and the ME is 1.8%. Don't forget that this means ±1.8%!
54 - 1.8 = 52.2%
54 + 1.8 = 55.8%
So our confidence interval is (52,2%, 55,8%) and the answer is A.
Answer:
The possible values of x is given by 
and they include: -2, -3, -4, -5, -6 and so on
The greatest possible value of 7x is 
Step-by-step explanation:
We are given the equation: x + 8 <= 6
Let collect the like terms:
Therefore, x <= -2 and the possible values include: -2, -3, -4, -5, -6 and so on
To find the greatest possible value of 7x is when x = -2.
.
Answer: She cycles 25% of the time
Step-by-step explanation:
From the question, Sally walks 15% of the time.
She drives 3/5 of the time.
We then convert 3/5 to percentage.
Converting to percentage means multiplying by a factor of 100.
Hence, Sally drives 3/5*100 = 60% of the time.
If Sally walks 15% of the time and drives 60% of the time, adding up the percentage time used by these two media of transportation will give us
60% + 15% = 75%
Hence if she cycles for the remainder of the time, expressing it as percentage would mean subtracting the time used in other means by 100%
Hence it will be 100% - 75% = 25%
