Step-by-step explanation:
it all starts with the understanding that "midpoint" means that the line segments on both sides have the exact same length.
this is the same as "cut a pizza or a cake in half".
therefore, we know
10x + 1 = 8x + 13
2x + 1 = 13
2x = 12
x = 6
AB = 10x + 1 = 10×6 + 1 = 60 + 1 = 61
BC = AB but to control : 8×6 + 13 = 48+13 = 61
correct.
AC = AB + BC = 61 + 61 = 122
Answer:
A
Step-by-step explanation:
Before we can add the 2 fractions we require them to have a common denominator.
Multiply the numerator/ denominator of the first fraction by x
Multiply the numerator/ denominator of the second fraction by (x + 3)
= +
Now simplify the numerator, leaving the denominator
=
= → A
Answer:
The answer is 66 ways .
Step-by-step explanation:
You have to use <u>Combination</u> because it says choosing 10 out of 12 as the position is not important :
12C10 = 66 ways of arrangements
Answer:
The coordinates of the point P is -3
Please see attached number line
Step-by-step explanation:
The given information are;
The length of the given number line = The line extends from -30 to +10
The location of major tick marks = Every ten numbers
The location of minor tick marks = Every number
The location of the point P = Three ticks to the left of 0
Therefore, the coordinates of the point P = -3
a) x-intercepts (where it passes through the x-axis) are: 0.05, 0.745, 0.8, 1.45, 1.55, 2.2
The x-intercepts represent when height = 0 and y-intercepts represent when time = 0
b) The graph is positive when height is positive: [0.05, 0.745] U [0.8, 1.45] U [1.55, 2.2]
c) The graph is negative when height is negative: [0, 0.05] U [0.745, 0.8] U [1.45, 1.55] U [2.2, ∞)
d) The average rate of change is the slope (rise/run) between the coordinates when x = 0.75 <em>(y = -5)</em> and when x = 1.125 <em> (y = 1.7). </em>
slope = = = 6