Answer:
12 ft²
Step-by-step explanation:
area = length * width
area = 4 ft * 3 ft
area = 12 ft²
Answer:
Step-by-step explanation:
7(b² - 2b - 8) = 0
7(b² - 2b + ) = 8
7(b² - 2b + 1) = 8 + 1
7(b - 1)² = 9
(b - 1)² = 9/7
b - 1 = ±√(9/7)
b = 1 ±3√(1/7)
b ≈ -0.134, 2.134
m² + 10m + 14 = -7
m² + 10m + = -7 - 14
m² + 10m + 25 = -7 - 14 + 25
(m + 5)² = 4
m + 5 = 2
m = -3
p² - 8p + 21 = 6
p² - 8p + = 6 -21
p² - 8p + 16 = 6 -21 + 16
(p - 4)² = 1
p - 4 = 1
p = 5
Answer:(2,23) & (7,48)
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u />
<u>Distance formula</u>

Let P(x, y) = any point on the locus
Let A = (0, 2)
Let B = (-2, 3)
If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

Therefore, using the distance formula:

Square both sides:
![\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]](https://tex.z-dn.net/?f=%5Cimplies%20x%5E2%2B%28y-2%29%5E2%3D%5Cdfrac%7B1%7D%7B9%7D%5B%28x%2B2%29%5E2%2B%28y-3%29%5E2%5D)

Multiply both sides by 9:


