1. Write down the decimal divided by 1
2. Multiply both top and bottom by 10
3. Simplify the fraction.
the Given data
*The given point is (-1, -5)
*The given scale factor is 5
The image of -1 - 5 after dilation by a scale factor of 5 centered at the origin is given as
Thus, the image after dilation by a scale factor of 5 centered at origin is (-5, -25)
Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
Side a is 49
side c is 121
121-49 is 72
72 squared is your x
Use the formula 0 = b^2-4ac
0 = -b^2-4(2)(-9)
0 = -b^2+72
b^2 = 72
b = square root of 72
b = 2 real numbers
