Hello,
gravity on earth :g=9.81 m/s²
9.81/2≈4.9
Answer 1
2)
h(t)=-4.9*t²+20*t+10
To hit the ground ht(t)=0
==> -4.9*t²+20*t+10=0
Δ=20²+4*4*10=560=23,6643...²
t=(-20-4√35)/(-4.9*2)=4,4555...(s)
t=(-20+4√35)/(-2*4.9)=-0,37391... to exclude (time must be >0)
Answer:
Step-by-step explanation:
you mean the function f(x)=x² not x2
the answer is the 1st attachment
for the second question
Which of the graphs below represents the function g(x) = (x + 1)²
the answer is the 2nd attachment
Because we don't have any set numbers for x or y, I believe that the solution set for both equations are infinite.
Answer:
3 < x < 13
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Let x be the length of the unknown side.
Therefore, x will either be the longest side or one of the shorter sides.
Therefore:
x < 5 + 8
⇒ x < 13
And:
8 < 5 + x
⇒ 3 < x
So the range of possible values of the third side is <u>greater than 3</u> and <u>less than 13</u>: 3 < x < 13
An= mth term.
an=a₁+(n-1)*d
a₁₂=41
a₁₅=140
a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d
a₁+11d=41 (1)
a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d
a₁+14d=140 (2)
With the equiations (1) and (2) build a system of equations
a₁+11d=41
a₁+14d=140
we solve it.
-(a₁+11d=41)
a₁+14d=140
--------------------
3d=99 ⇒d=99/3=33
a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322
an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n
an=-355+33n
To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
