Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
Answer:
There are three major trignometric ratios in mathematics and they are:
sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.
Sine(x) = Opp/Hyp
Cosine(x) = Adj/Hyp
Tangent(x) = Opp/Adj
Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent
Step-by-step explanation:
tan 30 = 60/x
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Answer:
Step-by-step explanation:
if f(x)=3x-1 and g(x)=2x+5 then
f(x)-g(x)=3x-1-(2x+5)
f(x)-g(x)=3x-1-2x-5
f(x)-g(x)=x-6
Answer:
45 cakes/3 hours
Step-by-step explanation:
15 cakes/1 hour = x cakes = 3 hours (multiply by 3)
