Answer: option A. 24 / 25
Step-by-step explanation:
Cos (Z) = Adj / Hypo
Cos (Z) = 24 / 25
Answer:
(-2, 6)
Step-by-step explanation:
Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.
Start by looking at the difference in the X and Y coordinates.
X = | -4 - 12 | = | -16 | = 16
Y = | 7 - -1 | = | 8 | = 8
You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.
Now add those calculated offsets to point A.
A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.
The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.
So the coordinates for C is (-2, 6)
Answer:
I don't know but use this app on your phone called mw and it should help
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represent the number of lawns Jacob mowed and y represent the number of dogs Sarah walked.
Jacob charges $20 each time he mows a lawn, then he earns $20x for x lawns mowed.
Sarah charges $10 each time she walks a dog, then she earns $10y for y dogs walked.
In total, they will earn $(20x + 10y). They need at least $2000 in order to go on a trip, then
Note that 
Answer:
x = -15 and x = 1
Step-by-step explanation:
Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form 
.
This results in 
.
Next, we <u>simplify the equation</u> to get 
.
<u>Factoring </u>the left side gives us 
.
Finally we <u>solve the equations</u>: 
and 
.
This gives us x=1, and x=-15
