Answer:
y = -1/3 x + 32/3
Step-by-step explanation:
Find an equation of line L
Given the equation bog L1 as y ,= 3x-4
The slope of the line L1 is 3
Since both lines are perpendicular, the product of their slope is -1, hence ;
LL1 =-1
3L = -1
L = -1/3
Slope of the required line is -1/3
Get the equation in point lope form
y-y0 = m(x-x0)
y-9 = -1/3(x-5)
3(y-9) = -(x-5)
3y-27 = -x+5
3y = -x+5+27
3y = -x+32
y = -1/3 x + 32/3
This gives the required equation
Answer:
Part 1)
Part 2) The height of the pole is
Step-by-step explanation:
Let
x------> the length of the pole
y------> the length of the shadow
we know that
-----> equation A
Applying the Pythagoras Theorem to find the distance (hypotenuse in a right triangle)
-----> equation B
substitute equation A in equation B and solve for x
squared both sides
-----> equation that represent the situation
solve for x
We are given a rain gutter made from folding a 12 inch wide aluminum sheet to an angle theta. The area of the opening is expressed as A(Θ) = 16 sin Θ (cos Θ + 1) where <span>Θ = 60°. we can just substitute directly the angle in degrees mode in the calculator and the answer is equal to 20.78 inches2.</span>
Answer:
The sum of the roots of a polynomial is 5/3, the product of the same polynomial is -11. Write the polynomial function in standard form.n:
Answer:
- 3. 8 over x minus 11 , x ≠ 11
Step-by-step explanation:
- (8x-16)/(x²-13x+22) =
- 8(x-2)/(x² - 2x - 11x + 22) =
- 8(x - 2)/(x - 2)(x - 11) =
- 8/(x - 11)