Answer:
the desired equation is y = -3x + 6.
Step-by-step explanation:
1) Rewrite x - 3y = 5 in slope-intercept form: x - 5 = 3y, or y = (1/3)(x - 5)
2) Identify the slope of the given line. It is (1/3).
3) Find the slope of a line perpendicular to this one. It is the negative reciprocal of (1/3), or -3.
4) Use the slope-intercept form of the equation of a straight line, y = mx + b, to determine the b value and thus the equation of the perpendicular line:
6 = -3(0) + b. Then b = 6, and the desired equation is y = -3x + 6.
15/x = 20/100
15*100 = 20*x
1500 = 20x
1500/20 = 20x/20
75 = x
15/75 = 20/100
the expected number of couples who met online is 75
Answer:
Option C is correct.
Constant of variation k = -0.5
Step-by-step explanation:
The direct variation says that:
then, the equation is of the form: .....[1] where k is the constant of variation.
Given the table:
x f(x)=y
0 0
2 -1
4 -2
7 -3.5
Consider any values from the tables
x = 4 and y=f(x) = -2
Substitute these values in equation [1] we have;
Divide both sides by 4 we get;
Therefore, the constant of variation is, -0.5
Answer:
D. Between the ladder and the ground
Step-by-step explanation:
The 75° is made by the ladder leaning on the tree. So the angle would be from the ground up to the ladder.
Answer:
he grows by 5 cm every year between 1999 and 2006
Step-by-step explanation:
This is a arithmetic progression problem with the formula;
T_n = a + (n - 1)d
We are told that In 1999 Daniel was 146 cm tall. He grew to be 176 cm by the year 2006.
Thus;
a = 146
d = 2006 - 1999 = 7
Thus;
176 = 146 + (7 - 1)d
176 - 146 = 6d
30 = 6d
d = 30/6
d = 5 cm
Thus, he grows by 5 cm every year between 1999 and 2006