Answer:
x = - 4, 0, 3, 4
Step-by-step explanation:
Given
f(x) = - 5x(x² - 16)(x - 3) ← x² - 16 is a difference of squares, thus
f(x) = - 5x(x - 4)(x + 4)(x - 3)
To find the zeros, equate f(x) to zero, that is
- 5x(x - 4)(x + 4)(x - 3) = 0
Equate each factor to zero and solve for x
- 5x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
Thus the zeros are
x = - 4, x = 0, x = 3, x = 4
Answer:
Step-by-step explanation:
find the slope 1/2
then write it as y-4=1/2(x+6)
then u get y=1/2x+7
The figure below shows a diagram of this problem. First of all we graph the hemisphere. This one has a radius equal to 1. Given that z ≤ 0 a sphere will be valid only in the negative z-axis, that is, we will get a half of a sphere that is the hemisphere shown in the figure. We know that this hemisphere is oriented by the inward normal pointing to the origin, then we have a Differential Surface Vector called
N, using the Right-hand rule <span>the boundary orientation is </span>counterclockwise.
Therefore, the answer above
False
Answer:
60 and 80.
Step-by-step explanation:
If the numbers are x and y:
x + y = 140
x - y = 20 Adding:
2x = 160
x = 80
So y = 140 - 80 = 60.
Answers
(sin40)/(cos40) and
(cos50)/(sin50)
Explanations
Tangent is a trigonometric ratio given by,
tan = opposite/adjacent.
lets take,
x⇒adjacent
y⇒opposite
h⇒hypotenuse
tanФ=y/x
sinФ=y/h and
cosФ=x/h
(sinФ)/(cosФ) = y/h ÷ x/h
=y/h×h/x
=y/x
This shows that
(sinФ)/(cosФ) = tanФ
We also know that,
sinФ = cos(90-Ф). So,
sin40 = cos(90-40) =cos50
So therefore;
tan40 = (sin40)/(cos40) = (cos50)/(sin50)