Step 1
Given;
Required; Find the equation of a line that goes through the point ( 1,- 6 ) and is perpendicular to the line: y = (1 / 8)x - 9
Step 2
For perpendicular lines, the relationship between the slopes is;
The y-intercept is found thus;
Answer; The required equation will be;
Answer:
4 seconds
Step-by-step explanation:
because 360 ÷9 is 4
First part of the race
speed1, s1 = 8.75 km/h
distance1 = 5 km - x
time 1 = 0.65 h - t
Second part of the race
speed2, s2 = 6 km/h
distance2 = x
time2 = t
s2 = x/t = 6 ⇒ t = x / 6
s1 = [5 - x] / [0.65 - t] = 8.75
5 - x = 8.75 [0.65 - t]
5 -x = 8.75(0.65) - 8.75t
5 - x = 5.6875 - 8.75 (x/6)
5 - x = 5.6875 - 1.4583x
1.4583 x - x = 5.6875 - 5
0.4583 x = 0.6875
x = 0.6875 / 0.4583 = 1.5
3x^2 + 6x - 24
3(x^2 + 2x - 8)
3(x + 4)(x - 2) <==
Answer:
838860
Step-by-step explanation:
How do you find the sum of the first 10 terms?
To sum up the terms of this arithmetic sequence: a + (a+d) + (a+2d) + (a+3d) +
Example: Add up the first 10 terms of the arithmetic sequence:
a = 1 (the first term)
d = 3 (the "common difference" between terms)
n = 10 (how many terms to add up)
What is the sum of the first 10?
The number series 1, 2, 3, 4 , 9, 10. Therefore, 55 is the sum of positive integers upto 10.
