Answer:
For part a)
130 = 10/2[2a+(10-1)d]
Simplify, u get
2a + 9d = 26.................(1)
Also U5 = a + (5-1)d = 3a
Simplify, u get
a= 2d...................(2)
Substituting for a in equation 1,
2(2d)+9d= 26
Solving for d, we get
d = 2
In part b) substituting for d in equation 2 to get the first term
a = 2(2) = 4
Part c) the no. of terms required can be obtained by solving
28 = 4+(n-1)2
n = 13
<h3>The lines intersect at (x,y) = (6,2)</h3>
This is simply because the x coordinate is 6 and the y coordinate is 2.
The line x = 6 is a vertical line in which all points on it have an x coordinate of 6. It goes through 6 on the x axis.
The line y = 2 is horizontal where all points on it have a y coordinate of 2.
The vertical and horizontal lines intersect at (6,2)
So,
Proportion basically means, that something is proportional
Example: A rope's length and weight are in proportion.
It's in proportion because the longer the rope, the more the weight
so, let's say
A popcorn machine costs 20 an hour
And in order to rent one, you have to pay $32 dollars
So you pay 32 for the machine, then 20 for every hour you use it
the number of hours used WOULD be proportional to the cost because
the more hours used, the more the cost
your final answer: YES it is proportional
Answer:
B)
Step-by-step explanation:
Answer:
The x-intercept is (2, 0).
Step-by-step explanation:
First write the equation of this line: y = (-3/2)x + 3.
At the x-intercept, y = 0. So, we set the above equation equal to 0 and solve for the x-intercept:
0 = (-3/2)x + 3, or
(3/2)x = 3, or x/2 = 1. Thus, x = 2.
The x-intercept is (2, 0).
