1/3 divided by 1/6 = 2
2 miles per day
Find the equation of the line connecting (0, 5) and (-2, 0).
As we go from the first point to the second, x decreases by 2 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/(-2), or 5/2.
Starting with the general equation of a line in slope-intercept form, y = mx + b, substitute the knowns as appropriate to determine the value of b:
y= mx + b => 5 = (5/2)(0) + b. Then b = 5, and the desired equation is
y = (5/2)x + 5.
Check this! If we subst. the coordinates of (-2,0) into this equation, is the equation true?
0 = (5/2)(-2) + 5
Yes. So, y = (5/2)x + 5 is the desired equation.
Answer:
Tn=12n(n+1)
Step-by-step explanation:
Explanation:
These are the triangular numbers - each term in the sequence being the sum of the first n positive integers:
T1=1=1
T2=3=1+2
T3=6=1+2+3
etc.
Notice that:
2Tn=(0)+1+(0)+2+...+(n−1)+(0)+n
2Tn+(0)+n+(n−1)+...+(0)+2+(0)+1
2Tn=(n+1)+(n+1)+...+(n+1)+(n+1)
2Tn=n(n+1)
So:
Tn=12n(n+1)
Answer:
B) (8, 0) and (-4,0)
Step-by-step explanation:
x-intercept when y = 0
so
x^2 - 4x - 32 = 0
Factors
(x - 8)(x + 4 ) = 0
x - 8 = 0; x = 8
x + 4 = 0; x = -4
(8, 0) and (-4,0)
Answer:
No
Step-by-step explanation:
Given: Angles of a triangle are equal to 90 degrees , 50 degrees, and 60 degrees
To check : if it possible to build a triangle with given angles
Solution:
According to angle sum property of a triangle, sum of angles of a triangle is equal to 
Here,
sum of given angles = 
Therefore, it is <u>not possible</u> to construct a triangle with given angles.
