Answer:
y = 3x - 2
Step-by-step explanation:
Use the point-slope equation since we are given a point that the line passes through and its slope:
y - y1 = m(x - x1)
(-2, -8), m = 3
Substitute these values into the equation.
- y - (-8) = 3(x - (-2))
- y + 8 = 3(x + 2)
- y + 8 = 3x + 6
- y = 3x - 2
The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.
Answer:
Step-by-step explanation:
Given points moves b/w 0.1 of 0.3 marks Hence amplitude is 0.2
Also , frequency (w) = 100 rad/s.
Natural frequency (wn) = √K/m
K = 20 N/mm x 1000mm/1m = 20000N/M
W = 1000mm/1m = 20,000N/M
FormulaX = FolK/1 - (w/wn)²
0.2 = b/20000/1 - (100/50)²
Given forcing frequency was doubled, W1 = 2 x 100=200rad/s
X1 =b/20,000/1 - (200/20)²
0.2/11 = 1 - (200/50)²/1 - (100/50)² = 0.2/11 = -15^5– 3
X1 = 0.04
Answer:
11.7
Step-by-step explanation:
pythagorean theorem is
apply that same formula soo
then sqaure root 136
round that soo now the answer is 11.7
Answer:
<h2>The right answer is 415.4 cubic feet.</h2>
Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>
<h3>Square pyramid.</h3>
First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.
The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid
The sum of both figures represents the total volume of the composite figure
Therefore, the right answer is 415.4 cubic feet.