Find the unit rate for 50 miles on 2 1/2 gallons
1 answer:
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The area of the square: 
where "a" is a length of side.
Therefore:
where "a" is a length of side.
Therefore:
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:
We know that the line is tangent at the point (2,8)
The derivative of the function at x=2 is
So, the tangent line passes through the point (2,8) and has slope 2. The equation is
This line crosses the x axis where y=0: