Answer:
y = (-6/13)x + (4/13).,
Step-by-step explanation:
the equation of the line is:
y = mx + b, where "m" is the slope and "b" gives the y-intercept
m = (y2 - y1)/(x2 - x1)
m = (-2 - 4)/(5 - (-8))
m = -6/13
y = (-6/13)x + b
the line passes through the point (-8,4) means that for x = -8, y = 4
4 = (-6/13)(-8) + b
b = 4 - (-6/13)(-8)
b = 4/13
the equation of the line that passes through the points (-8,4) and (5,-2) is:
y = (-6/13)x + (4/13).
Answer:
x=2.833
Step-by-step explanation:
−4(3/2x−1/2)=−15
-4(3/2x)-4(-1/2)= -15
-2(3x)+2=-15
-6x=-15-2
-6x = -17
x= -17/-6
x=2.833
Answer:
The answer is x = -13/4
Step-by-step explanation:
-13/4 + 2 / -13/4 +3 = 5
Answer:
1/2
Step-by-step explanation:
(1/16)^x
Let x = 1/4
(1/16)^ 1/4
Rewriting 16 as 2^4
(1/2^4)^ 1/4
We know that 1 / a^b = a^-b
(2 ^ -4)^ 1/4
We know that a^b^c = a^(b*c)
2^(-4*1/4)
2^-1
We know that a^-b = 1/ a^b
2^-1 = 1/2^1 = 1/2
Answer: 3
Step-by-step explanation:
The 3D vector consists of 3 axes, let's say x, y and z.
Now, a vector P lies in all of them.
So, the angle it makes with x axis is α
The angle it makes with y axis is β
The angle it makes with z axis is γ
So, to determine the Cartesian components or to resolve the vector into it's Cartesian components we need 3 angles with each axis.
