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Answer:
b = 8
Step-by-step explanation:
Use the Pythagorean theorem
c^2 = a^2 + b^2
c = 10
a = 6
b = ?
Substitute into the formula
10^2 = 6^2 + b^2
100 = 36 + b^2 Subtract 36 from both sides
100 - 36 = b^2 Combine
64 = b^2 Take the square root of both sides.
√64 = √b^2
b = 8
Answer:
1. Lisa purchased almonds for $3.00 and spent $24.90.
The quantity of almonds bought is therefore:
= Total amount spent / Cost per pound
= 24.90 / 3
= 8.3 pounds
2. If the price goes up to $3.50 per pound and the maximum Lisa can spend is $25, the number of pounds she can get is:
= Maximum amount for almonds / Price per almonds
= 25 / 3.5
= 7.14 pounds
Answer:
A: -6.5
Step-by-step explanation:
Take two points that we already know are on the line and find the slope
I used:
(4, -10) and (7, -30)
X1 (first x coordinate): 4
Y1 (first y coordinate): -10
X2 (second x coordinate): 7
Y2 (second y coordinate): 30
These appear to be exactly on the graph at a certain point along the line. We can't choose a coordinate pair that isn't on the line at an exact point.
Use (Y2-Y1)/(X2-X1)
(-30-(-10))/(7-4) = (-30 + 10)/3 = -20/3 = approximately -6.67.
The closest answer to that is A.
