Answer:
168 ft
Step-by-step explanation:
1. Calculate the total length of the curtains
42 curtains × (48 in/1 curtain) = 2016 in
2. Convert to inches to feet
1 in = ¹/₁₂ ft
2016 in × (¹/₁₂ ft/1 in) = (2016/12) ft = 168 ft
Ariceli will need 168 ft of fabric.
Answer:
x = 5.2
Step-by-step explanation:
Let's first simplify our first function:
Now, we just need to set this function equal to our other given function.
Now, we can add 12 to both sides:
Now, add 5x to both sides:
Finally, we'll divide both sides by 5:
Answer: x = 5.2
let x x +2 x+4 three consecutive odd <span>integers
2x =9+ x+4 </span>Twice the smallest<span> is nine more than the largest
2x - x= 13
x= 13 the first
the second integer 15 the third 17 </span>
Answer:4.1
Step-by-step explanation:
c=AB
C=26°
B=122°
b=8
Using sine rule
c/sinC = b/sinB
c/sin26=8/sin122
Sin26=0.4384
Sin122=0.8480
c/0.4384=8/0.8480
Cross multiply
c x 0.8480=8 x 0.4384
c x 0.8480=3.5072
Divide both sides by 0.8480
(c x 0.8480)/0.8480=3.5072/0.8480
c=4.1
The vertex is at the point (0,0) and the focus at the point (0, 1/8). This is given to us. Both the vertex and focus are separated by a vertical distance in the positive direction.
This means that the parabola opens upward. The vertex form of the equation for a parabola that opens upward is:
y = a(x - h)^2 + k, where the point
(h, k) is the vertex of the parabola.
Plug the vertex given into the above equation.
y = a(x - 0)^2 + 0
y = ax^2 + 0
y = ax^2
What is a?
Note: a = 1/(4f), where f is the distance from the vertex to the focus or simply as given in the focus point above 1/8.
Let f = 1/8
a = 1/4(1/8)
a = 1/(1/2)
a = 2
The equation we want is
y = 2x^2.
f(x) = 2x^2
Choice A is the answer.
