Answer:
The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3
Step-by-step explanation:
- The slope of the horizontal line is zero
- The equation of the horizontal line passes through the point (a, b) is y = b
- All the points on the horizontal line have the same y-coordinates
- The slope of the vertical line is undefined
- The equation of the vertical line passes through the point (a, b) is x = a
- All the points on the vertical line have the same x-coordinates
Let us solve the question
∵ The line has an undefined slope
∴ The line is a vertical line
∵ The equation of the vertical line is x = a, where a is the x-coordinate
of any point on the line
∵ The line passes through the point (3, 4)
∴ a = 3
∴ The equation of the line is x = 3
The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3
Answer:
84 <em>m</em>^2
Step-by-step explanation:
A = <em>bh</em>
multiply the parallelogram's height, 7, by it's base, 12. (7 × 12 = 84)
f(x) is read is function f of x.
Where x is the input variable and function f(x) gives output value of function for x input value.
For the given function, we have f(3).
If we compare f(3) by f(x), the x represented by input value 3.
Therefore, x value is 3 there.
And we also have f(x) =-5.
Because function value is -5. So we can read it as, "for x input value of the the function gives output value -5."
For the asked value of x is just x=3.
Answer:
X = -2 and 4
Step-by-step explanation:
Move all of the terms to one side and set the equation to 0:
2x^2-14x+40-3x^2+16x-32 = 0
Then combine all like terms which would look like the following:
-x^2 + 2x + 8=0
Change the signs on both sides of the equation:
x^2 - 2x - 8 =0
Write -2x as a difference:
x^2 + 2x - 4x -8 = 0
Factor the expression:
x(x+2) x 4(x+2)=0
Factor out x+2 from the equation:
(x+2) (x-4)=0
Split into classes and then find the answer from there:
x+2=0
x-4=0
Answer:
The angle of depression of the lens must be 26.3°
Step-by-step explanation:
Here we have a right triangle with the opposite side to the angle equal to 5.93 feet and the adjacent side to the angle equal to 12.02 feet. Therefore we just need to use the tangent definition to find the angle.


The angle of depression of the lens must be 26.3°
I hope it helps you!