Given the graph y = f(x)
The graph y = f(cx), where c is a constant is refered to as horizontal stretch/compression
A horizontal stretching is the stretching of the graph away from the y-axis.
A horizontal compression is the squeezing of the graph towards the
y-axis. A compression is a stretch by a factor less than 1.
If | c | < 1 (a fraction between 0 and 1), then the graph is stretched horizontally by a factor of c units.
If | c | > 1, then the graph is compressed horizontally by a factor of c units.
For values of c that are negative, then the horizontal
compression or horizontal stretching of the graph is followed by a
reflection across the y-axis.
The graph y = cf(x), where c is a constant is referred to as a
vertical stretching/compression.
A vertical streching is the stretching of the graph away from the x-axis. A vertical compression is the squeezing of the graph towards the x-axis. A compression is a stretch by a factor less than 1.
If | c | < 1 (a fraction between 0 and 1), then the graph is compressed vertically by a factor of c units.
If | c | > 1, then the graph is stretched vertically by a factor of c units.
For values of c that are negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.
One angle has 60 degrees, the other angle has 30 degrees.
60 divided by 30 = 2.
and 60 + 30 = 90.
Answer:
3√25 is irrational
-11/151 is rational
1.1625 is rational
5.15603418923 is rational
√256 is irrational
√141 is irrational
Step-by-step explanation:
Length of shorter piece is 13 ft
Length of longer piece is 61 - 13 => 48 ft
Answer:
<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>
Step-by-step explanation:
Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.
<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.
So, 1 yard, 2 feet and 4 inches ![=[(1*36)+(2*12)+4]inches = 64](https://tex.z-dn.net/?f=%3D%5B%281%2A36%29%2B%282%2A12%29%2B4%5Dinches%20%3D%2064)
inches.
That means, he uses 64 inches of twine to wrap each carton.
He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u> 
inches.
Now....
1856 inches
Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.
