A.) y = ut - 1/2gt^2 + 12
y = 6t - 1/2(9.8)t^2 + 12
y = 6t - 4.9t^2 + 12
b.) The y-intercept is 12
c.) The y-intercept represent the height of the ball at time t = 0
d.) At the time the ball reaches the ground, y = 0
-4.9t^2 + 6t + 12 = 0
t = 2.29 seconds
Therefore, it took the ball 2.29 seconds to reach the ground.
Answer: y = 5x − 11
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (3,4) and (2, -1),
y2 = - 1
y1 = 4
x2 = 2
x1 = 3
Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5
To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into
y = mx + c. It becomes
4 = 5 × 3 + c
4 = 15 + c
c = 4 - 15 = - 11
The equation becomes
y = 5x - 11
If both printers work together. Then the number of the pamphlets will be 20x in four hours.
<h3>What is Algebra?</h3>
Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job.
The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours.
Let x be the number of the pamphlets are printed by the old printer in one hour.
Then the number of the pamphlets are printed by the new printer in one hour will be 4x.
Then if they work together, then the number of the pamphlets in one hour will be 5x.
Then the number of the pamphlets in 4 hour will be
→ 5x × 4
→ 20x
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
Bse is 10
x^m, x is base of exponent
Answer:
...
Step-by-step explanation:
the central angle is the same as the arc
mDE= 104°
mFE= 76°
mDEF= 180°
mCFD= 180°
mDFE= 256°
