Step-by-step explanation:
Given the height of the rocket y in feet related to time after launch x related by the equation:
Y=-16x^2+189x+79
The rocket will hit the ground when y = 0
The equation will become:
0=-16x^2+189x+79
Rearrange
-16x^2+189x+79 = 0
multiply though by minus
16x^2-189x-79 = 0
Factorize and solve for x:
x = 189±√189²-4(16)(-79)/2(16)
x = 189±√35721+5056/32
x = 189±√40777/32
x = 189±201.93/32
x = 189+201.93/32
x = 390.93/32
x = 12.22secs
hence the rocket will hit the ground after 12.22seconds (to the nearest hundredth of a sec)
Answer:
50
Step-by-step explanation:
68+62=130 then subract 180-130 and have 50 so x=50
Answer:
A line segment is a line that starts somewhere and then ends somewhere.
Step-by-step explanation:
FGHJ is 60 inches, because it was dilated 25%, and 25% of 240 is 60
(a)The ratio of the number of machine to the number of crates packed is 1:4.5
(b) crates of oranges in 90 pack per day by machine is 405.
What is Ratio?
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
Given that;
40 identical machines in a factory pack 180 crates of oranges per day
So,
a) The ratio of the number of machines to the number of crates packed per day is:
40/180 = 1:4.5
b) crates of oranges would 90 of these machines pack per day is
40/180 = 90/x

x = 4.5 x 90
x = 405
Learn more about Ratio click here:
brainly.com/question/2914376
#SPJ1