Answer:
y = [-½]x + [-5]
Step-by-step explanation:
Equation describing how x and y are related can be written in slope-intercept form, y = mx + b.
m = slope = ∆y/∆x
Using two pairs of values from the table, (-2, -4) and (0, -5),
Slope (m) = (-5 - (-4))/(0 - (-2)) = -1/2
m = -½
b = y-intercept = the value of y when x is 0 = -5
b = -5
✔️To write the equation, substitute m = -½ and b = -5 into y = mx + b
Thus:
y = [-½]x + [-5]
Answer:
Step-by-step explanation:
T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:
We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.
Answer: the statement “measure of <4 is 105 degrees” is incorrect.
Explanation: This is because since both angles 1 and 3 are vertical, this means they are both 95. This gives us 190 (95x2). Now we subtract this from 360 which gives us 170. Since angles 2 and 4 are vertical, we divide by 2, which gives us 85, not 105.
Hope this helps! :)
Answer:
100
Step-by-step explanation:
Answer:
C. 7 hours
Step-by-step explanation:
Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...
distance = speed × time
300t = 350(t -1)
300t = 350t -350 . . . . eliminate parentheses
350 = 50t . . . . . . . . . . add 350-300t
7 = t . . . . . . divide by 50
The trip out took 7 hours.
