First, Use the slope equation to find the slope of the line passing thru these two points:
m=rise/run
Here, the rise is 13-3, or 10, and the run is 7-2, or 5. Thus, the slope, m, is 10/5, or 2: m=2.
We want the slope-intercept form, so let's begin with its general form:
y=mx+b. Substitute the slope 2 for m: y=2x+b. Now choose either of the given points. Arbitrarily I am choosing (2,3). Then x=2 and y=3.
Substituting these values into y=2x+b: 3 = 2(2) + b, or b= 3 -4, or b = -1.
Then the equation of this line, in slope-intercept form, is y = 2x - 1.
No. 43 is a prime number. It has no other factors besides ' 1 ' and itself.
Answer: 180 = 30 + (x + 60)
Step-by-step explanation: Supplementary means that the angles add together to 180 degrees. This equations shows that angle A (30 degrees) plus angle B (x + 60) equal 180. If you solve the equation you will find that angle B is equal to 150 degrees, and that x = 90.
The <em><u>correct answer</u></em> is:
0.0764
Explanation:
We will use a z-score to answer this. The formula for a z-score is
, where μ is the mean and σ is the standard deviation. Using our information in this problem, we have
Using a z-table, we look up the z-score 1.43. The area under the curve to the left of, or less than, this value is 0.9236. This means the probability that the time is greater than this is 1-0.9236 = 0.0764.
Answer:
The angle bisectors of a parallelogram form a rectangle.
Step-by-step explanation:
