Solve the equation by substitution method.
To get b-2-3b=4. Then you substitute b into simplest to get, b=-3. Repeat the same process with a to get, a=-5. So your answer would be (-5, -3)
Answer:
x = 70°
Step-by-step explanation:
the interior angle which is supplemental to 140° is 40°
the sum of the interior angles of any triangle is 180°
so:
180° = 40° + 2x
subtract 40° from each side of the equation:
2x = 140°
x = 70°
n, n + 2, n + 4 - three consecutive odd ntegers
n + (n + 2) + (n + 4) = 5(n + 2) - 18 |use distributive property
n + n + 2 + n + 4 = (5)(n) + (5)(2) - 18
3n + 6 = 5n + 10 - 18
3n + 6 = 5n - 8 |subtract 6 from both sides
3n = 5n - 14 |subtract 5n from both sides
-2n = -14 |divide both sides by (-2)
n = 7
n + 2 = 7 + 2 = 9
n + 4 = 7 + 4 = 11
Answer: 7, 9, 11.
Answer:
The function of the graph is y = 3 cos (4x) ⇒ answer A
Step-by-step explanation:
- If the equation is y = A cos (B x)
* A is the amplitude
- The amplitude is the height from highest to lowest points and
divide the answer by 2
* The period is 2π/B
- The period is the distance from one peak to the next peak
* Lets look to the graph
- The maximum value is 3 and the minimum value is -3
∵ The height from the maximum point to the minimum point is
3 - (-3) = 3 + 3 = 6
∴ The amplitude is 6/2 = 3
∵ A is the amplitude
∴ A = 3
- The distance between two consecutive peaks is π/2
∵ The period is the distance from one peak to the next peak
∴ The period = π/2
∵ The period = 2π/B
∴ 2π/B = π/2 ⇒ divide both sides by π
∴ 2/B = 1/2 ⇒ by using cross multiplication
∴ B = 4
- Lets write the form of the function
∵ y = A cos (Bx)
∵ A = 3 and B = 4
∴ y = 3 cos (4x)
* The function of the graph is y = 3 cos (4x)
Answer:no
hccer
Step-by-step explanation:
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