A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture:
Answer:
Step-by-step explanation:
(x₁, y₁) is the 1st coordinate while (x₂, y₂) is the 2nd coordinate.
Gradient of the line
Answer:
9/4
Step-by-step explanation:
When you divide by a number, whole number or fraction, it's exactly like multiplying by its inverse.
Like if you divide 4 by 2, you can easily express that has 4 * 1/2.
In the same manner, when you divide 3/4 by 1/3, you can say that you're multiplying 3/4 by 3/1
The result of 3/4 * 3/1 = 9 / 4
Which you cannot simplify because 9 and 4 don't have any common factors (other than 1). The only other way to express it would be 3²/2² or (3/2)²
Answer:
B) 5 x 4 x 3 x 2 x 1
Step-by-step explanation:
When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:
5! = 5 * 4 * 3 * 2 * 1
For example, take factoral 10: 10!
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800
In this case, you are multiplying 5!.
5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120
5! = 120
