Answer:
see explanation
Step-by-step explanation:
let y = f(x), then
y = 11x - 1
Interchange x and y and solve for y
x = 11y - 1 ( add 1 to both sides )
x + 1 = 11y ( divide both sides by 11 )
y = 
, hence
(x) =
Answer:
5/6 liters.
Step-by-step explanation:
Given that:
Amount of juice in a punch bowl = 2 * 1/2 liters
= 5/2 liters.
Part of juice drank by Liam from the bowl = 1/3
Amount of juice drank by Liam =
= 5/2 * 1/3 = 5\6 liters.
If her hourly rate stays the same, how many hours would she have<span> to work to earn $217 next week? ... She wants to enlarge the </span>photograph<span> so that its </span>width<span> is 10 in. ... Cross-Multiply: (4)(x)=(6)(10); Simplify: 4x=60; Divide both sides by 4 to find the height of the </span>new photograph<span>: \frac{4x}{4}=\frac{60}{4. Answer: 15 </span>inches<span> .</span>
Let the equal sides of the isosceles Δ ABC be x.
Given that the perimeter of Δ ABC = 50m.
Therefore, 2x + AC = 50 --- (1)
It is also given that the perimeter of Δ ABD = 40m.
Therefore, x + BD + AD = 40
BD is the median of the Δ ABC. Therefore, D is the midpoint of AC.
So AD = CD.
Or, AD = 
AC
Therefore, 
Multiply both sides by 2.
2x + 2BD + AC = 80
From (1), 2x + AC = 50.
Therefore, 2BD + 50 = 80
2BD = 80 - 50
2BD = 30
BD = 15m.
The angle bisector, median, and altitude are all the same things in an isosceles triangle.
That means that the legs of the smaller triangles created by the altitude are 4 root 2.
By special properties of an right triangle, the hypotenuse is 8.
Since the legs of the original right triangle are congruent, the area of the original triangle is 8*8/2.
Now we just simplify:
8*8/2=64/2=32
