Another way to solve this is to use the Midpoint Formula. The midpoint of a segment joining points
and
is
So the midpoint of your segment is
Perhaps it helps to see that the x-coordinate of the midpoint is just the average of the x-coordinates of the points. Ditto for the y-coordinate of the midpoint; just average the y's.
Must be 16 and 21 because we can see
30 and 70 has 10 as factor
24 and 44 has 2 as factor
12 and 30 has 2 as factor and all those factors are greater than one
Lemme just say this real quick, Ratio
Answer:
Step-by-step explanation:
y2-y1/x2-x1
1+3
3-1
your slope is 4/2 or 2. keep going down to find what y is when x is 0, which happens to be -5
so now you have a slope and a y intercept you can solve like y=mx+b where m is your slope and B is your y intercept
y=2x-5 is your answer
Answer:
5. 2¯⁶ or 1/2⁶
6. 2⁹
Step-by-step explanation:
5. Simplify 2⁴ ÷ 2¹⁰
The above expression can be simplified as follow:
2⁴ ÷ 2¹⁰
Recall
Aⁿ ÷ Aᵐ = Aⁿ¯ᵐ
Thus,
2⁴ ÷ 2¹⁰ = 2⁴ ¯ ¹⁰
2⁴ ÷ 2¹⁰ = 2¯⁶
Recall:
A¯ⁿ = 1/Aⁿ
Thus,
2¯⁶ = 1/2⁶
Therefore,
2⁴ ÷ 2¹⁰ = 2¯⁶ or 1/2⁶
6. Simplify 2³ × (2²)³
2³ × (2²)³ can be simplified as follow:
2³ × (2²)³
Recall
(Aⁿ)ᵐ = Aⁿ*ᵐ
Thus,
(2²)³ = 2²*³
(2²)³ = 2⁶
2³ × (2²)³ = 2³ × 2⁶
Recall
Aⁿ × Aᵐ = Aⁿ⁺ᵐ
2³ × 2⁶ = 2³⁺⁶
2³ × 2⁶ = 2⁹
Therefore,
2³ × (2²)³ = 2⁹
