(1, -6) and (-5, 2)
Distance between 1 and -5 = 6
Distance between -6 and 2 = 8
6²+8²=x² (PYTHAGOREAN THEOREM)
36+64=x²
x² = 100
x = 10
Note: Not -10 because <em>distance cannot be negative.</em>
Answer:
The answer will be 7(2x - 1)
Step-by-step explanation:
1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c
2) Simplify 7 × 2 to 14 .
3) Simplify 14 + 1 to 15.
4) Collect like terms.
5) simplify.
6) Factor out the common term 7.
Therefor, the answer is 7( 2x - 1 ).
Answer:
20%
Step-by-step explanation:
40 pieces total
32 pieces eaten
40 - 32 = 8
8 pieces not eaten
Percentage = (part / whole) x 100%
Percentage = (8 / 40) x 100% = 0.2 x 100%
Percentage = 20%
M(meters) = 0.9144*y(yards)
Answer:
NO
Step-by-step explanation:
Let h(t) represent the distance the pack is located above the ground at time t. Then h(t) = 20 ft - 16t^2 ft. Notice how h = 20 ft (the initial height) and that it decreases as t increases.
How long does it take for the pack tohit the ground? Set h(t) = 0 and solve for t:
0 ft = 20 ft - 16t^2 ft yields 16t^2 ft = 20, or t^2 ft = 20/16, which is greater than 1. So the question "Will the backpack hit the ground in 1 second" is answered by NO.
