5. Answer: see explanation
<u>Step-by-step explanation:</u>
If the roots are m and 3m, then x = m and x = 3m
⇒ x - m = 0 and x - 3m = 0
⇒ (x - m)(x - 3m) = 0
⇒ x² - 4mx + 3m² = 0
Since x² + px + q = 0 then p = -4m and q = 3m²
3p² = 3(-4m)² 16q = 16(3m²)
= 3(16m²) = 48m²
= 48m²
3p² = 48m² = 16q ⇒ 3p² = 16q
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6. Answer: 8 or 18
<u>Step-by-step explanation:</u>
The Area of the entire rectangle (A = L × w) is 12 × 10 = 120
The Area of the shaded region is 72, so the Area of the non-shaded region is 120 - 72 = 48.
There are two non-shaded triangles.
- Bigger non-shaded Δ: L = 12-x, w = 10 ⇒

- Smaller non-shaded Δ: L = x, w = x ⇒

Combine the Areas of both triangles and set it equal to the Area of the non-shaded region:

Area of ΔBEF:

Answer:
30 times
Step-by-step explanation:
1. find the possibility of the spinner landing on each section
<em>1 / 5 = 0.2</em>
<em />
2. multiply # of spins by the possibility
<em>150 * 0.2 = </em><em><u>30 times</u></em>
1.3 would be considered greater than negative 5. Although 1.3 is a decimal it is still a positive number and positives are worth more than negatives regardless
Answer:
1/110 =.6/x use cross multiplication and multiply
Step-by-step explanation
Your answer is x=66 miles
Hope this helps!!!
Brainliest???
Answer:
Height = 2545.45cm
Step-by-step explanation:
Volume of cylinder = pie r^2 h
500 = 22/7*4*4*h
500*7/22*16 = h
2545.45cm = h