Answer: y=4x-5
Step-by-step explanation:
The slope of y=4x+23 is:4 m=4
The parallel line needs to have the same slope of 4
Solve it using the "point-slope" equation of a line: y− y1 = 2(x − x1)
substitute or put in the point (2,3):
y − (3) = 4(x − 2)
y - 3 = 4x - 8
put it in slope intercept form y = mx + b
y = 4x − 5
X+6=3y
y=X/3+2
to graph it you have to find y and x intercept<span>
To find x-intercept , y = 0. Substitute it to x-3y=-6
x - 3(0) = -6
x = -6
First point is located (-6,0)
To find y -intercept, x = 0.Substitute it to x-3y=-6
0 - 3y = -6
-3y = -6
y = 2
second point is located (0, 2)
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Answer:
<u>The volume of the prism is 97.2 m³</u>
Step-by-step explanation:
Let's recall that the volume of a triangular prism is base * height and the base is a triangle, then the formula is as follows:
Volume = 1/2 (base of the triangle * height of the triangle) * height of the prism
Replacing with the real values, we have:
Volume = 1/2 (7.2 * 9) * 3
Volume = 32.4 * 3 = 97.2 m³
<u>The volume of the prism is 97.2 m³</u>
Answer:
The worth of the bond will be $5000 in 6 month
Step-by-step explanation:
Answer:
Co-ordinates of the focus is; (0, -4)
Step-by-step explanation:
We are given;
Vertex at origin; (0, 0)
Equation of parabola; y = x²/4p
4p = -16
Now,in parabola with vertex at origin, the coordinates of the focus is usually at (0, p)
Now, from 4p = -16 we can find p
p = -16/4
p = -4
Thus coordinates of the focus is; (0, -4)