The vertex of the two functions is in the same place, so there is no translation involved. Point (0, 4) on f(x) is point (0, 12) on g(x).
The appropriate choice seems to be ...
<span>It is stretched vertically by a factor of 3.</span>
Hi there!
First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).
S = 4 - 2 / 3 - 5
S = 2 / -2
S = -1
Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.
(2,5)
y - 5 = -1(x - 2)
y - 5 = -x + 2
y = -x + 7
(4,3)
y - 3 = -1(x - 4)
y - 3 = -x + 4
y = -x + 7
The two equations came out the same! Which is completely okay, and happens sometimes.
Hope this helps!! :)
If there's anything else that you're needing help with, don't be afraid to reach out!
Answer:
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Step-by-step explanation:
Area of square x^2
area of rectangle is given by length * width
Length of rectangular strip = x
width of rectangular strip = 2
area of rectangular strip = length * width = 2*x = 2x
Area of square piece of paper when rectangular strip is taken away from it
= Area of square - area of rectangular strip
=
It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.
Thus,
Thus,
either x+10 = 0 or x -12= 0
x = -10 or x = 12
but length cannot be negative hence neglecting x = -10
hence value of x is 12.
Hence,
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
B = bees, w = wasps, x = hornets
b + w + x = 184
b = 3x - 9
w = x + 28
(3x - 9) + (x + 28) + x = 184...combine like terms
5x + 19 = 184
5x = 184 - 19
5x = 165
x = 165/5
x = 33 <== points scored by Hornets
Answer:
12.4 cm
Step-by-step explanation:
Use the sphere volume formula, V = r³
Plug in the volume and solve for r, the radius:
V = r³
7961 = r³
1900.55 = r³
12.39 = r
So, the radius of the sphere is approximately 12.4 cm