9514 1404 393
Answer:
(c) ΔLMN is an obtuse scalene triangle
Step-by-step explanation:
The two given angles are different measures and total less than 90°. That means the third angle will be more than 90°, an <em>obtuse</em> angle. Since all of the angles are different, the triangle is <em>scalene</em>.
ΔLMN is an obtuse scalene triangle
The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)
(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)
=>
a) a 3 x 1 column =
| 3 |
| -4 |
| 6 |
b) xi + yj + zk
=> 3i - 4j + 6k
Answer:
Force required, F = 20 pounds
Step-by-step explanation:
We have given,
force needed to stretch a spring , F = 12 pounds
Stretched length, x = 9 inches
Since, spring force formula can be given as: F = kx
i.e 12 = k · 9
or k =
= 4/3
Now we need to find force for the stretch length = 15 inches
i.e F = kx , here x =15inches , k = 4/3 and F= ?
or F = (4/3) · 15
or F = 20 pounds
Hence force required, F= 20 pounds
Answer:
The graph below models the value of a $20,000 car t years after it was purchased.
Value of Car
A graph titled Value of Car has years bbhvb ngc,jon the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
Each car value, y, is associated with exactly one time, t.
Each time, t, is associated with exactly one car value, y.
The rate at which the car decreases in value is not constant.
There is no time, t, at which the value of the car is 0.
Step-by-step explanation:
Answer:
8.5%
Step-by-step explanation:
.17/2 = 0.085 or 8.5%