Answer:
b = 24 ft
h = 10 ft
Step-by-step explanation:
120 = ½hb
120 = ½h(3h - 6)
240 = h(3h - 6)
240 = 3h² - 6h
80 = h² - 2h
0 = h² - 2h - 80
0 = (h - 10)(h + 8)
h = 10 ft or -8 ft
we ignore -8 as it makes no sense for a triangle side length.
b = 3(10) - 6 = 24 ft
Answer:
The equation of the boundary of the region is (x+2)² + (y-1)² = 25
Step-by-step explanation:
The satellite is positioned at (-2,1) and can sense the presence within 5 miles of its position.
The boundary of the region is a circle with center (-2,1) and radius 5.
The equation of the circle with center (h,k) and radius r is given by
(x-h)²+(y-k)²=r²
The equation of the circle with center (-2,1) and radius 5 is given by
(x+2)²+(y-1)²=5²=25
(x+2)² + (y-1)² = 25 is the required equation of the boundary of the region.
Answer:
2y = x, which is a proportional relationship.
Step-by-step explanation:
See the table attached.
The table gives the ordered pair represents a proportional relationship.
Take at least two pairs of the value of x and y.
Let they are (6,3) and (10,5).
Now, the equation for the straight line passing through the two points is given by
⇒ 2(y - 5) = x - 10
⇒ 2y - 10 = x - 10
⇒ 2y = x
Hence, we can write x ∝ y and the constant of proportionality is 2. (Answer)
Answer:
x^4-x^3-5x^2-3x
Step-by-step explanation
Use the FOIL Method or factor.
