Answer:
y = -x - 8
Step-by-step explanation:
Midpoint of the line:
x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6
y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2
so midpoint is (-6,-2)
Slope of the line: Slope m = (y2-y1)/(x2-x1)
m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of the perpendicular line is -1/1 is -1
y = mx + b
y = -x + b
Using (-6,-2)
-2 = -(-6) + b
-2 = 6 + b
b = -8
so y = -x - 8
Your answer is x = 2.92 = 3.
To answer this question you need to use trigonometry, so the first step is to identify the hypotenuse, opposite, and adjacent.
Because the angle 73 is in the bottom corner next to the length x, we know that the length x is the adjacent. The length 10 is opposite the right angle so this must be the hypotenuse.
We know that cos(θ) = adjacent/hypotenuse, so we can substitute in what we know:
cos(θ) = adjacent/hypotenuse
cos(73) = x/10
Now we can rearrange for x:
cos(73) = x/10
× 10
cos(73) × 10 = x
Finally we just type this into the calculator and get the answer as 2.92 or 3.
I hope this helps!
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
Answer:
5/12<3/6
Step-by-step explanation:
3/6 is 1/2 and 5/12 is smaller than 1/2
