Answer:
y = -4x + 2
Step-by-step explanation:
- We know that the equation of slope is y = mx + b
- We also know that the slope is -4 given in this problem
- So:
- y = -4x + b
- Using the point (-1, 6), we can substitute this point into the above equation to solve for b.
- (6) = -4(-1) + b
- 6 = 4 + b
- b = 2
- Therefore the equation of the line is y = -4x + 2
Answer:
approximately 27 grams
Work Shown:
Half life formula
y = A*(0.5)^(x/H)
where,
A = starting amount = 30 grams
H = half life period = 90 years
x = number of years that pass by = 12
y = amount left over after x years
Let's plug the values for x, A and H into the formula to find y
y = A*(0.5)^(x/H)
y = 30*(0.5)^(12/90)
y = 27.3516746567466
y = 27 .... rounding to the nearest whole number
Answer:
2z-4
Step-by-step explanation:
By using distributive property, 2/3 * 3z = 2z and 2/3 * -6 = -4
This means the answer is 2z-4
Answer:
There are 360 degrees in one revolution, so a 270-degree clockwise rotation would be the same as a 90-degree counterclockwise rotation. Therefore, the rule would be to map (x, y) to (–y, x).
Step-by-step explanation:
i got it right
Step-by-step explanation:
a square has 4 identical sides.
so, when you have to "walk" around the perimeter of a square you have to go 4 times the same distance.
therefore
20 = 4×side length
side length = 20/4 = 5 in
it is a 5 in × 5 in square.
FYI a rectangle has 2 pairs of sides that are equally long inside their pair.
and so you have in this case a perimeter of
2×6 + 2×4 = 12 + 8 = 20 in