Answer:
Step-by-step explanation:
21-26. a = v - u / t
=> a = 47 - 19 / 5
=> a = 28 / 5
=> a = 5.6 m/s²
27-32. avg. speed = distance / time
=> 40 m / 10 s
=> 4 m/s
33-38. velocity = distance / time
=> v = 150 / 40
=> v = 15 / 4
=> v = 3.75 m/s
The area of the sector will also be 70/360
Sector area = 70/360 • pir^2
= 7/36 • pi • 8^2
A= 112/9 • pi
A= 39.1 inch^2
Step-by-step explanation:
a. f(-4)= 2
b. f(0) = 0
c. f(3) = -1.8
d. f(-5) = 0
e. f(x) = -2 => x = 2
f. f(x) = 0 => x = 0 or -5
<em>*Remember that y and f(x) are the same.</em>
With f(2), you are solving for the output (y), given that the input (x) is equal to 2.
With f(x) = 2, you are solving for the input (x), given that the output (y) is equal to 2.
Answer:
y = 0.25x - 5
Step-by-step explanation:
Given line is 4x + y = 3
or y = -4x + 3
Comparing this with slope-intercept form y = mx + c :
slope of this line is -4
Product of slopes of perpendicular lines = -1
⇒ slope of a line perpendicular to this is
=
= 0.25
This line also passes through the point (-4,-6)
The equation of a line having slope m and passing through a point (h,k) is
y - k = m(x - h)
⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}
⇒ y + 6 = 0.25×(x + 4)
⇒ y + 6 = 0.25x + 1
⇒ <u>y = 0.25x - 5</u>
This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)