Answer: y = (3/2)x
m = 3/2 is the slope
(x1,y1) = (0,0) is the point we want the line to go through, aka the origin
Use point slope form, plug in the given values, and convert to slope intercept form
y - y1 = m(x - x1) .... point slope form
y - 0 = (3/2)*(x - 0) .... substitution
y = (3/2)x .... final answer in slope intercept form
Answer:
A. 17
B. 16
Step-by-step explanation:
F(5)
5 > 2 so you plug the 5 into 3x+2
F(-2)
-5 < -2 < 2 so you plug the -2 into (x-2)^2
Answer:
B. 40 meters
Step-by-step explanation:
— Estimating
The rectangle enclosing the path has sides of length 9 m and 14 m, so its perimeter is 2(9+14) = 46 m. The distance covered will be shorter than that.
The distance from A to C is longer than the distance from D to C, so we know the distance will be longer than 2·14+9 = 37 m.
Only one answer choice fits in the range 37 < d < 46.
____
— Detailed calculation
The distance from B to C is the hypotenuse of a right triangle with sides 9 and 12. You will recognize that these side lengths are 3 times the side lengths of a 3-4-5 right triangle, so the hypotenuse distance is 3·5 = 15 meters.
The circuit length is ...
AB +BC +CD +DA = 2 + 15 + 14 + 9 = 40 . . . . meters
For number 8, the area will be 350 square yard because the total area of the rectangle is 20 times 18 will equal 360 square yards, and I know that the area of the cutting rectangle is 5 times 2 equals 10 square yard, so the rest of the rectangle will be 360-10 or 350 square yards. For number 9, the area will be 28 square meters because the area of the whole rectangle is 40 square meters, and I found the area of the rectangle that already cut which equal 4 times 3 equal 12 square meters, so the area of the rectangle that does not cut will be 40-12 or 28 square meters. For number 10, the answer will be 92 square feet because the area of the complete rectangle wipp be 14 times 10 equal 140 square feet, and the area of the rectangle that already cut is 8 timed 6 equal 48 square feet, so the area that had left will equal 140-48 or 92 square feet. Hope it help!
Answer: A. In 2015 there will be more seagulls than chickadees.
Step-by-step explanation: if you look at the chart you can see the seagull population keeps growing and the chickadee population keeps decreasing.
