6x^3+13x^2+16 is the result.
Answer:
1) -2.13
2) 2.57
3) 33
Step-by-step explanation:
1)
3(8 + 5h) = -28 Distribute the 3
24 + 15h = -28 Subtract 24 from both sides of the equation
15h = -32 Divide both sides by 15 and round
h = - 2.13
2)
19 = 7(3n - 5) Distribute the 7
19 = 21n - 35 Add 35 to both sides of the equation
54 = 21n Divide both sides of the equation by 21
2.57 = n
3)
6s - 7s = -33 Combine the s's
-s = -33 Multiply both sides by -1
s = 33
Answer:
The unit vector u is (-5/√29) i - (2/√29) j
Step-by-step explanation:
* Lets revise the meaning of unit vector
- The unit vector is the vector ÷ the magnitude of the vector
- If the vector w = xi + yj
- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w
- The unit vector u in the direction of w is u = w/IwI
- The unit vector u = (xi + yj)/√(x² + y²)
- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j
* Now lets solve the problem
∵ v = -5i - 2j
∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29
- The unit vector u = v/IvI
∴ u = (-5i - 2j)/√29 ⇒ spilt the terms
∴ u = (-5/√29) i - (2/√29) j
* The unit vector u is (-5/√29) i - (2/√29) j
Hey There!
If i got this down right,
An = A1 + (n - 1)d
Sn = A1 + A2 + A3 + ... + An
A1 is given by
Sn = n (A1 + An) / 2
For Example
An = A1 + (n - 1)d
= 6 + 3 (n - 1)
= 3 n + 3
n = 50
Hope This Helps!!!
Answer:
<h2>
10. C. (2, -1)</h2><h2>
11. B. (-2, -4)</h2>
Step-by-step explanation:
10.
The y values cancel out if you add the equations
5x = 10
x = 2
plug in x
2 - 2y = 4
-2y = 2
y=-1
Answer: C. (2, -1)
11.
In order to get terms to cancel out, multiply the top by 3 and bottom by 2
The y values cancel out if you add the equations
10x = -20
x = -2
plug in x
6(-2) - 2y = -4
-12 - 2y = -4
-2y = 8
y = -4
Answer: B. (-2, -4)
