Answer:
a = 12
Step-by-step explanation:
Formula for calculating the slope of a line is expressed as;
m = ∆y/∆x
m = y2-y1/x2-x1
Given
m = 1/2
x1 = a
y1 = 14
x2 = 8
y2 = a
Required.
Value of a
Substitute the given parameters into the formula
1/2 = a-14/8-a
Cross multiply
1(8-a) = 2(a-14)
8-a = 2a-28
Collect like terms
-a-2a = -28-8
-3a = -36
a = -36/-3
a = 12
Hence the value of a is 12
Answer:
<em>The coordinate of the midpoint is 1/2</em>
Step-by-step explanation:
<u>Midpoint</u>
The midpoint of a segment defined in a one-dimension system is
Where x1 and x2 are the coordinates of the points.
The given segment has endpoints x1=-7 and x2=8, thus:
The coordinate of the midpoint is 1/2
Answer:
18/2.5 = 7.2
Step-by-step explanation:
Since there are 18 gallons at the beginning of the trip you divide by 2.5 to find out how much gas is left after each hour.
Answer:
x = 11/10
Step-by-step explanation:
we have from statement:
-1=1 - 4(-5+4x) – 4x
we apply distributive property:
-1 = 1 -4*(-5) -4*(4x) -4x
so we have:
-1= 1+20 -16x -4x
-1 = 21 -20x
-22=-20x
so we have:
x=22/20
x=11/10
we can substitute the x value found:
-1 = 1 - 4(-5+4*(11/10)) – 4*(11/10)
-1 = 1+20 -17.6 -4.4
-1 =21 -22
so we have:
-1 = -1
The answer is 11:100 and 11%
