Answer:
Figure b
Step-by-step explanation:
A translation is when a shape hoves to different coordinates but doesn't change size.
Answer:
6/1
Step-by-step explanation:
Both 18 and 3 can be divided by 3
18 divided by 3 = 6
3 divided by 3 = 1
So the ratio is 6 : 1
So the fraction is 6/1
I'm afraid I don't see the models you have written about although I do know the answer. (C= Courtney's age, S= Shilo's age)
Shilo is 7 years older then Courtney, which equals to C+7=S.
While at the same time Shilo is 13 years younger then twice Courtney's age. This turns into Cx2-13=S.
c+7=cx2-13. This is the equation, now lets work it out.
Add 13 on each side and you get
c+20=2c
Now we subtract c from each side and we get
20=c Therefor we have found out that Courtney is 20 years old.
Shilo being 7 years older then Courtney is 27
Answer:
the least integer for n is 2
Step-by-step explanation:
We are given;
f(x) = ln(1+x)
centered at x=0
Pn(0.2)
Error < 0.01
We will use the format;
[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01
So;
f(x) = ln(1+x)
First derivative: f'(x) = 1/(x + 1) < 0! = 1
2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1
3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2
4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6
This follows that;
Max|f^(n+1) (c)| < n!
Thus, error is;
(n!/(n + 1)!) × 0.2^(n + 1) < 0.01
This gives;
(1/(n + 1)) × 0.2^(n + 1) < 0.01
Let's try n = 1
(1/(1 + 1)) × 0.2^(1 + 1) = 0.02
This is greater than 0.01 and so it will not work.
Let's try n = 2
(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267
This is less than 0.01.
So,the least integer for n is 2
Hi,
h = 2 a/b so our answer would be 6. The height of the triangle is 6.
Have a great day!
