Answer:
AB = 
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 2, 1) and (x₂, y₂ ) = B(3, 4)
d = 
= 
= 
= 
Answer:
=1050 wildebeests
Step-by-step explanation:
We can form an arithmetic series for the wildebeest migration.
Sₙ=n/2(2a+(n-1)d) where n is the number of terms, d is the common difference and a is the first term.
a=24
n=20
d=3
Sₙ=(20/2)(2(24)+(20-1)3)
Sₙ=10(48+57)
=1050 wildebeests
It would round up to 1,244,000
Y = 2x-3
The second line will have its Y-Intercept at -3 and its slope will be up 2 and over 1 which will allow it to go through (4,5) and the line will be parallel to Y = 2x+2
Given:
Length of rectangle = (x+10) cm
Width of the rectangle = x cm
Perimeter = 32 cm
To find:
The length of the rectangle.
Solution:
We know that,

Where, l is length and w is width.
Substituting the values, we get



Subtract 20 from both sides.


Divide both sides by

So, the length is

Therefore, the length of the rectangle is 13 cm.