Answer:
VW = √2
Step-by-step explanation:
y = x+1
x²+y²+2x+2y+1=0 (x²+2x+1) + (y²+2y+1) = 1
(x+1)² + (y+1)² = 1 : Circle: (x-h)² + (y-k)² = r² Center (O): (h , k) = (-1 , -1) r = 1
solve for roots: x²+(x+1)²+2x+2(x+1)+1=0
2x² + 6x + 4 = 0 x²+3x+2=0
(x+1)(x+2)=0
x = -1 or x = -2
y = 0 or y = -1
V and W: (-1 , 0) and (-2 , -1) forms a 90° center angle
√vw = √1²+1² = √2
Answer: he bought 5 binders in total (sry if it’s wrong)
Step-by-step explanation:
The answer is A.
He ran for six (6) miles every day. 4 in the morning and 2 at night = 6 per day.
He did this for four (4) days. The way to figure this would be to go 6 * 4. This equals 24 miles.
Go back a few steps (punny!).
So days multiplied by how many miles he ran a day which is calculated by miles in morning added to miles at night.
days*(miles per morning + miles per night)
days=4
miles per morning=4
miles per night = 2
4 * (4+2)
Calculating this out....
4 * (4+2)
(4+2 = 6)
4 * 6 = 24.
So A is the answer.
It is not correct.
The student found the volume by multiplying the base area with the height. He forgot to divide it by 3.
Formula to find the volume of the pyramid = 1/3 base area x height
volume = 1/3 x 92 x 54 = 1656 square meters
Answer:
12 cm
Step-by-step explanation:
To calculate the length of a spring with a 2 kg load, compare the displacement of a 1 kg load and adjust accordingly.
When a 1 kg load is suspended from the spring, the spring which is 6 cm stretches to 9 cm. This is 3 cm longer due to the weight. If you attach a weight which is twice as much then the displacement will be twice as much. Instead of stretching an additional 3 cm, it will stretch 2*3 = 6 cm. Add this to the length of the spring and it stretches in total 6 + 6 = 12 cm.
