Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)
Perpendicular lines always have slopes that are negative reciprocals, such as 2 and -1/2, 3/4 and -4/3.
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
Rewrite the given line:
Now, we can clearly identify the slope to be . Because perpendicular lines always have slopes that are negative reciprocals, the slope of the line we're currently solving for is therefore 2. Plug this into :
<u>2) Determine the y-intercept (</u><em><u>b</u></em><u>)</u>
Plug in the given point (9,-7) and solve for <em>b</em>:
Therefore, the y-intercept is -25. Plug this back into :
I hope this helps!
Since sides kl and kj are congruent that means that angles klj and kjl are congruent. if angle klj is 58 then that means kjl is also 58. so you take the total number of degrees in a triangle (180) and subtract 58 and 58 (116) which leaves you with 64 ( the degree measure of lkj)
Answer:
The mean is given by:
And the deviation:
Step-by-step explanation:
For this case we assume that the true population proportion of Americans do not know that GOP stands for Grand Old Party is 0.55 and we select a random sample of n = 953 americans
For this case we assume that we satisfy the conditions to use the normal approximation for
1) np >10 , n(1-p)>10
2) Independence
3) Random sample
4) The sample size is less than 10% of the population size
We assume that all the conditions are satisfied and the distribution for would be:
The mean is given by:
And the deviation:
Answer:
Option B, x =
Step-by-step explanation:
e^4x-1 = 3
<u>ln both side</u>
ln(e^4x - 1) = ln(3)
<u>ln(e) = 1</u>
4x - 1 + 1 = ln(3) + 1
4x / 4 = (ln(3) + 1) / 4
x =
Answer: Option B, x =
Choose two points on the hexagon that form a line. Plug the numbers into the distance formula and work it out. Because all the sides are equal, you only need to do this once. Hope this helped!