Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2=14·20+14·(20
2)2+202+20·(14
2)2+202≈1016.84192
Step-by-step explanation:
That might be it,Im sorry tried
Answer:
(- ∞, - 4 ] ∪ [7, + ∞ )
Step-by-step explanation:
Determine the zeros by equating to zero, that is
x² - 3x - 28 = 0 ← in standard form
(x - 7)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 4 = 0 ⇒ x = - 4
The zeros divide the domain into 3 intervals
(- ∞ , - 4 ], [ - 4, 7 ], [ 7, + ∞)
Choose a test point in each interval and compare value with required solution
x = - 5 : (- 5)² - 3(- 5) - 28 = 25 + 15 - 28 = 12 > 0
x = 0 : 0 - 0 - 28 = - 28 < 0
x = 10 : 10² - 3(10) - 28 = 100 - 30 - 28 = 42 > 0
Solutions are the first and third interval, that is
x ∈ (- ∞, - 4 ] ∪ [ - 7, + ∞)
Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center of the circle.
By comparison, (x - 2)^2 + (y + 5)^2 = 16 has center at point (2, -5).
Translating the circle 4 units to the left and 1 unit up gives a new center at point (2 - 4, -5 + 1) = (-2, -4)
Answer:
<h2>x = 4</h2>
Step-by-step explanation:
Look at the picture.
We have the triangles 30° - 60° - 90° and 45° - 45° - 90°.
The sides are in proportions:
30° - 60° - 90° ⇒ 1 : √3 : 2
45° - 45° - 90° ⇒ 1 : 1 : √2
======================================================
Answer:
-59
Step-by-step explanation:
x=3
y=20
(7*3)-(4*20)
21-80=
-59
