First we find the common difference...to do this we subtract the first term from the second term. -7 - (-1) = -7 + 1 = -6
now we are going to find the 10th term
an = a1 + (n-1)*d <== formula for finding any term in arithmetic series
a1 = 1st term, d = common difference, n = term we want to find
now we sub
a10 = -1 + (10 -1) * -6
a10 = -1 + (9 * -6)
a10 = -1 - 54
a10 = - 55
now we will find the sum
Sn = (n (a1+ an)) / 2 <== formula for finding the sum
S10 = (10(-1 - 55))/2
S10 = (10(-56) / 2
S10 = -560/2
S10 = - 280
so the sum of the first 10 numbers is -280
Remember distributive property, but reverse it
ab-ac=a(b-c)
a is a common factor
find common factors
factor each
9x^2=3*3*x*x
6xy=2*3*x*y
common factor is 3*x or 3x
9x^2-6xy=3x(3x)-3x(2y)=3x(3x-2y)
factored form is 3x(3x-2y)
Answer:
-25
Step-by-step explanation:
Essentially, y is your output and x is your input.
Here's your base equation: y = 2x + 5
Knowing the information above, let's plug it in:
-45 = 2x + 5
(Subtract 5 from both sides)
-50 = 2x
(Divide both sides by 2 to isolate x)
-25 = x
And there you go.
Answer:
The height of ball is 17 ft at t=0.55 and t=1.14.
Step-by-step explanation:
The general projectile motion is defined as
Where, v is initial velocity and y₀ is initial height.
It is given that the initial height is 7 and the initial upward velocity is 27.
Substitute v=27 and y₀=7 in the above equation to find the model for height of the ball.
The height of ball is 17 ft. Put h(t)=17.
On solving this equation using graphing calculator we get
Therefore the height of ball is 17 ft at t=0.55 and t=1.14.
Answer:
210
Step-by-step explanation:
29*7 = 203, 203 is the closest number to 210!
