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seropon [69]
3 years ago
14

For an angle _ with the point (5, _12) on its terminating side, what is the value of cosine?

Mathematics
1 answer:
Vlad [161]3 years ago
5 0
Cos θ = adj/hyp = 5/sqrt(5^2 + (-12)^2) = 5/sqrt(25 + 144) = 5/sqrt(169) = 5/13
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If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6)
vova2212 [387]
\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
X&({{ a}}\quad ,&{{ b}})\quad 
%  (c,d)
Y&({{ -8}}\quad ,&{{ 6}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)

\bf \left( \cfrac{-8+a}{2}~,~\cfrac{6+b}{2} \right)=\stackrel{M}{(-3,-1)}\implies 
\begin{cases}
\cfrac{-8+a}{2}=-3\\\\
-8+a=-6\\
\boxed{a=2}\\
----------\\
\cfrac{6+b}{2}=-1\\\\
6+b=-2\\
\boxed{b=-8}
\end{cases}
5 0
3 years ago
True or False: The relation {(3, 2), (1, 2), (7, –5), (11, 6), (17, –4), (13, 8)} is a function.
8090 [49]

Answer:

False

Step-by-step explanation:

This is because if you have a function which is Y=2x-4 , then trying to give an example using the given points which (3,2) , here we will have Y=2 upon replacing 3 in the function cause 3 is the value of x and vice versa if we have 2 as the value of Y then x will be 3 . However,if we get the (1,2) the answer for Y will be -2 which is different from the one we have in the question hence this concludes false

7 0
3 years ago
I know I went wrong somewhere. Can someone help me solve for m please ):
docker41 [41]
If I understand correctly, you went wrong because you solved for Y instead of M, like the question dictates.
7 0
3 years ago
You drive 15 miles in one fourth of an hour. What is your average speed?
Mazyrski [523]
Hello ! I'm happy to help
the answer all revolves around this simple formula:
speed= distance/time
since you were driving for 1/4 of an hour that's 15 minutes
and we already know that you traveled 15 miles
so the speed would equal 15 miles every 15 minutes
if you want to find the total distance travelled is 15x15 =225
6 0
3 years ago
Sarah purchased a car that was on sale for 3/4 of the original price .if the original price was 6000, what was the price that Sa
umka21 [38]
So you do 3/4 divided by 6000 which make the thing switches and so you make 4/3 times by 6000 equals to your answers so you gotten 24,000 dividend it by 3 so you get will get.



Answer: 8,000
4 0
3 years ago
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