Answer:
a = 3.75
Step-by-step explanation:
First distribute the -3 to (a - 6), which gives you the equation, 19a - 3a + 18 = 78. Then subtract the 3a from 19a, which gives you 16a + 18 = 78. Then subtract 18 from both sides and you get 16a = 60. Divide 60 by 16 and you get 3.75 as your a.
Answer:
60°
Step-by-step explanation:
Given :
DAB= (180 – 3x) °,
mZ B= (6x – 40) °, and
m ZC = (x+20) °.
DAB = mZ B + m ZC ( the exterior angle equal the sum of the two opposite interior angles)
180 - 3x = (6x - 40) + (x + 20)
180 - 3x = 6x - 40 + x + 20
180 - 3x = 6x + x - 40 + 20
180 - 3x = 7x - 20
180 + 20 = 7x + 3x
200 = 10x
x = 200/10
x = 20
Angle B = 6x - 40 = 6(20) - 40 = 120 - 40 = 80
Angle C = x + 20 = 20 + 20 = 40
BAC = 180 - (80 + 40) (SUM OF ANGLES IN A TRIANGLE)
BAC = 180 - 120
BAC = 60°
Answer:
Using Matlab code for Fourier series to calculate for the function, see the attached
Step-by-step explanation:
Go through the picture step by step.
Answer:
A. For the graph, the rate of change is -2 and for the equation, it is 2.
Step-by-step explanation:
The rate of change of the line on the graph can be found by considering the rise or fall when moving one unit to the right. This line falls 2 units for each unit to the right, so its rate of change (slope) is -2.
The rate of change of the equation can be found by looking at the coefficient of x. It is 2.
So, the appropriate description is ...
For the graph, the rate of change is -2 and for the equation, it is 2.