Answer:
hello
Step-by-step explanation:
there is my answer
hope it helps
Answer:
Step-by-step explanation:
Part A:
We have two equations in the given question:
y=8x and y=2x+2
Then these two equations will intersect at a point where y is same fro both the equations:
In equation y=8x we will exchange y with the other equation which is y=2x+2 then we would have 8x=2x+2..
Part B:
8x = 2x + 2. Take the integer values of x between −3 and 3
x= -3
8(-3)=2(-3)+2
-24=-6+2
-24= -4
It is false
Now plug x= -2
8(-2)=2(-2)+2
-16 = -4+2
-16 = -2
This is false
Now plug x= -1
8(-1)=2(-1)+2
-8 = -2+2
-8=0
It is false
Now plug x= 0
8(0)=2(0)+2
0=0+2
0=2
It is false
Now plug x= 1
8(1)=2(1)+2
8=2+2
8=4
False
Now plug x= 2
8(2)=2(2)+2
16=4+2
16=6
False
Now plug x=3
8(3)=2(3)+2
24=6+2
24=8
It is false
It means there is no solution to 8x=2x+2 for the integers values of x between −3 and 3
Part C:
Plot the two given functions on a coordinate plane and identifying the point of intersection(values of the variables which satisfy both equations at a particular point) of the two graphs.
The graph is attached. The point of intersection at x =0.333 and value of y = 2.667....
A) cos θ = -(√24)/7 and tan θ = 5/√24 and
B) sec θ = 7/(√24) and tan θ = -5/(√24)
Sine is the ratio of the opposite side of an angle to the hypotenuse. Since sin θ = -5/7, the opposite side is -5 and the hypotenuse is 7.
For A, if the cosine is -√24/7, and the sine was -5/7, then the opposite/adjacent, tangent, would be -5/-(√24). However, two negatives divided make a positive, so the tangent would be 5/√24.
For B: the secant is 1/cos. This means it is the reciprocal, or flip, of the cosine. Instead of A/H, sec = H/A. This means the hypotenuse is 7 and the adjacent side is √24. Tangent = opposite/adjacent; this gives us -5/√24.
For C: the secant, H/A, is -7/5. This means the tangent, O/A, would be -5/5 = -1. This is incorrect.
For D: the cosine, A/H, is √24/7. This means the tangent, O/A, would be -5/√24; this is incorrect.
Answer:
LP = 15
Step-by-step explanation:
LM = LP ( isosceles triangle sides will be equal )
10x - 5 = 7x + 1
Transpose to find the value of x
10x -7x = 1 + 5
3x = 6
x = 6/3
x = 2
now put 2 instead of x
10x - 5
10 (2) - 5
20 - 5
15
LP = 15