Split the second term 7x^2 - 8x - 12 into two terms
7x^2 + 6x - 14x - 12
Factor out common terms in the first two terms, then in the last two terms
x(7x + 6) - 2(7x + 6)
Factor out the common term; 7x + 6
<u>(7x + 6)(x - 2) </u>
Answer:
To make the cup 64.57 square inches of plastic were used.
Step-by-step explanation:
A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:
area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches
area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches
surface area of the cup = area of the base + area of the walls = 9.616 + 54.95
surface area of the cup = 64.57 square inches
To make the cup 64.57 square inches of plastic were used.
3.22$ because your originally spending 35$ so the added 3.22$ makes up 38.22$
Answer:
Step-by-step explanation:
Forma ordinaria
La ecuación de la parabola de manera ordinaria está dada por:
(1)
Donde:
- (h,k) es la coordenda del vértice, en nuestro caso (0,0) ya que está en el origen.
- (h,k+p) es la coordenda del foco, en nuestro caso (0,1).
Por lo tanto h = 0, k = 0 y p = 1.
Remplazando estos valores en la ecuación de la parábola, tenemos:
(2)
Forma general
La forma general de una parábola esta dada por la siquiente ecuación
Reordenando la ecuación (2) tenemos:
Espero esto te haya ayudado!
Answer:
Angle WZY=31degrees
Step-by-step explanation:
5x+11=8x-1
11+1=8x-5x
12=3x
X=12/3
X=4
Substitute x=4 in 5x+11
5(4)+11=31
