◆ LINEAR EQUATIONS IN TWO VARIABLES ◆
Answer:
t=+4.06
Step-by-step explanation:
when the baseball hits the ground, the height will be 0.
h=0we are given that h=−16t2+64t+4.
this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.
since time cannot be negative, only the positive value can be taken.
this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.
Answer:
222 ft/sec
Step-by-step explanation:
Essentially you're being asked to find the unit speed (that is, distance per sec).
1000 ft
------------ = 222 feet/sec is the approx. average speed / unit speed
4.5 sec
The angle BAC and DCA are alternate interior angles , Option D is the right answer.
What are Parallel Lines ?
The lines in a plane which never intersect and are at a same distance always are called Parallel Lines.
In the given question it is given that there are two lines FG and DE
The lines are parallel to each other , and transversal are AC and BC .
The angle BAC and DCA are alternate interior angles as AC is the transversal of the parallel lines.
Option D is the right answer.
To know more about Parallel Lines
brainly.com/question/16701300
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Answer:
12
Step-by-step explanation:
The given ratio is ...
tulips : violets = 5 : 6 = 10 : 12 . . . . . . . .multiply by 2
This tells us that maintaining the ratio will require 12 violets to be added for an addition of 10 tulips.
