Answer: 22.86
Step-by-step explanation:
Answer:
dilation
Step-by-step explanation:
Well, you didn't give an option to choose from. I know that the thing in the middle is a similar symbol. Dilations can prove that both shapes are similar. If LMN dilates to a smaller shape PQR then both shapes are SIMILLAR.
So we need to find the sum of the first 5 terms.
You have told me that the first term is 10 meters, and that r = 0.5 per term.
With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).
Plugging in the terms that we know...
s₅=10((1-0.5⁵)/(1-0.5))
s₅=10(0.96875/0.5)
s₅=10(1.9375)
s₅=19.375
With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.
For number 6 I know the answer is 34 beacuse you add 6, 13, and 15 together to get 34.
Answer:
true for all x
Step-by-step explanation:
3x - 4 ≤ 2
Add 4 to each side
3x - 4+4 ≤ 2+4
3x<6
Divide by 3
3x/3 <6/3
x<2
or
2x + 11 ≥ -1
Subtract 11 from each side
2x + 11-11 ≥ -1-11
2x≥ -12
Divide by 2
2x/2 ≥ -12/2
x ≥ -6
x<2 or x ≥ -6
true for all x