Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (2,-1) and (4,5),
y2 = 5
y1 = - 1
x2 = 4
x1 = 2
Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3
To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes
5 = 3 × 4 + c
c = 5 - 12 = - 7
The equation becomes
y = 3x - 7
9514 1404 393
Answer:
water
Step-by-step explanation:
Comparison of numbers can be done a couple of different ways. One way is to subtract one from the other. If the difference is positive, the minuend (first number) is the larger of the two.
Another way is to divide one number by the other. If the ratio is more than 1, then the numerator is the larger number.
For numbers in scientific notation, the division is perhaps the easiest. Here, that gives you ...

This value is greater than 1, so the mass of a water molecule is greater.
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You will note that the multipliers (10^-26 kg) cancelled because they were equal. If they are unequal, the usual rules of exponents apply.
Answer:
The pears are more expensive per pound
Step-by-step explanation:
Find the cost per pound of the pears and bananas by dividing the cost by the number of pounds:
Pears:
9/3
= 3 ($3 per pound of pears)
Bananas:
1/4
= 0.25 ($0.25 per pound of bananas)
Since 3 is larger than 0.25, this means the pears are more expensive per pound.