Find the ratio of the sequence 3 9 27 81
1 answer:
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Answer:
The perimeter of triangle XYZ is 54 cm
Step-by-step explanation:
- In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equal
- Their perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarity
- Their areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2
∵ Δ ABC is similar to Δ XYZ
∵ The longest side in Δ XYZ is 25.2 cm
→ That means its corresponding side in Δ ABC is the longest side
∵ AB = 18 cm, BC = 30 cm, CA = 42 cm
∴ The longest side in Δ ABC is CA
∴ CA is the corresponding side of the side of length 25.2 cm
∴ The ratio of similarity = = 0.6 ⇒ (r)
∵ The perimeter of Δ ABC = AB + BC + CA
∴ The perimeter of Δ ABC = 18 + 30 + 42
∴ The perimeter of Δ ABC = 90 cm
→ Use the 2nd fact above
∵ P of Δ XYZ = r × P of Δ ABC
∵ r = 0.6 and P of Δ ABC = 90
∴ The perimeter of Δ XYZ = 0.6 × 90
∴ The perimeter of Δ XYZ = 54 cm
<h2>Hello!</h2>
The answer is:
The x-intercept or roots of the parabola are:
To solve the problem, we need to find the roots or zeroes of the parabola.
We can find the zeroes of the quadratic equation (parabola) by factoring its equation.
So,we are given the function:
To factorize the equation, we need to find two numbers which product gives as result the number 5, and its addition gives as result the number "6", these numbers are 5 and 1.
So, rewriting the equation, we have:
Therefore, we have that the x-intercept or roots of the parabola are:
Have a nice day!
Note: I have attached a picture for better understanding.