What are all the real zeroes of y = (x –12)^3 – 7
2 answers:
You might be right.
Let y = 0
(x - 12)^3 - 7 = 0 Subtract 7 from both sides
(x - 12)^3 = 7 Take the cube root of both sides.
x - 12 = cuberoot(7) Add 12 to both sides
x = 12 + cuberoot(7)
Are the other two real or imaginary? The quickest way to find out the answer is to graph the original equation. It has the shape of something that crosses the x axis but once. So the other two roots are imaginary.
My calculator says that the real root is 13.91
The two complex ones are 11.04 +/- 1.66i which of course is not real.
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Answer:
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30° ⇒ last answer
Step-by-step explanation:
In any triangle if the sum of the squares of the shortest two sides is equal to the square of the longest side, then the triangle is a right triangle and the angle opposite to the longest side is the right angle
In Δ VUW
∵ WV = 6 cm
∵ WU = 3 cm
∵ UV = 3 cm
- Use the rule above tho check if it is a right Δ or not
∴ The longest side is WV
∴ The shortest two sides are WU and UV
∵ (WV)² = (6)² = 36
∵ (WU)² + (UV)² = (3 )² + (3)² = 27 + 9 = 36
∴ (WV)² = (WU)² + (UV)²
- That means ∠U which opposite to WV is a right angle
∴ Δ VUW is a right triangle at ∠U
∴ m∠U = 90°
Let us use the trigonometry ratios to find m∠W and m∠V
→ sin Ф =
∵ UV is the opposite side of ∠W
∵ WV is the hypotenuse
∵ sin(∠W) =
∵ sin(∠W) =
- Use to find ∠W
∴ ∠W =
∴ m∠W = 30°
∵ WU is the opposite side of ∠V
∵ WV is the hypotenuse
∵ sin(∠V) =
∵ sin(∠V) =
- Use to find ∠V
∴ ∠V =
∴ m∠V = 60°
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30°