Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
This is in slope-intercept form which is y=mx+b
where m is the slope and b is the intercept
in this equation -7 is m
The correct answer is -7
Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9
a) Volume of Rectangular prism is 
b) Volume of cube is 
c) Volume of cube is 
d) Volume of Rectangular prism is 
Step-by-step explanation:
Part a)
Volume of rectangular prism with
length= 
width= 
height = 
The formula used to find Volume of rectangular prism is:

Putting values:

So, Volume of Rectangular prism is 
Part b)
Volume of cube with side length of 
The formula used to find Volume of cube is:

Putting value of length and finding volume:

So, Volume of cube is 
Part c)
Volume of cube with side length of 
The formula used to find Volume of cube is:

Putting value of length and finding volume:

So, Volume of cube is 
Part d)
Volume of rectangular prism with
length= 
width= 
height = 
The formula used to find Volume of rectangular prism is:

Putting values:

So, Volume of Rectangular prism is 
Keywords: Volume
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..nine cubed. If you multiply 9×9×9 you will get 729