Answer:
y = (1/3)x^3 +4x + c . . . . . for some constant c
Step-by-step explanation:
The anti-derivative of x^n is (x^(n+1))/(n+1). Applying this rule to each of the terms in dy/dx, we get ...
y = (1/3)x^3 + 4x
There may be an added constant as well, conventionally represented by "c".
y = (1/3)x^3 +4x +c
Answer: See explanation
Step-by-step explanation:
1. (x + 6)(x - 4)
x (x - 4) + 6 (x - 4)
x² - 4x + 6x - 24
<em>x² + 2x - 24</em>
<em></em>
2. (2x + 5)(x - 3)
2x (x - 3) + 5 (x - 3)
2x² - 6x + 5x - 15
<em>2x² - x - 15</em>
<em></em>
3. (3x + 2)(2x + 5)
3x (2x + 5) + 2 (2x + 5)
6x² + 15x + 4x + 10
<em>6x² + 19x + 10</em>
<em></em>
4. (2x - 1)(x - 5)
2x (x - 5) + -1 (x - 5)
2x² - 10x + -x + 5
2x² - 10x - x + 5
<em>2x² - 11x + 5</em>
<em></em>
Hope that helped!
Hello there.
<span>Which pair of numbers have a GCF of 7? Choose all answers that are correct. A. 7 and 14 B. 7 and 1 C. 28 and 7 D. 21 and 3
Answer: </span>21 and 3
For the 11 the first one is x = 4y and for the 2 one it will be x=−6−2y
By using trigonometric relations, we will see that x = 9.97°.
<h3>
How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700