Step-by-step explanation:
The initial image of the photo is 2 in by 4 in. The mat is 4 in by 6 in.
The new image is dilated by a scale of 2. So we double the dimensions. The new photo is 4 in by 8 in. The new mat is 8 in by 12 in.
You can either make a table using any numbers you would like (I would suggest -5 to 5) and then graphing the rule
ex. (7/2)(-5)-2 = -19.5 (I multiplied (7/2) by -5 and then subtracted 2)
Or you can put the rule in a graphing calculator and check the points from there
Answer:
Graph y = 2x
Step-by-step explanation:
First, let's get the equation into standard form. Distribute the 2 on the right.
Next, we want the variable "y" to be alone, so we at 4 to both sides.
That is our equation in standard y = mx + b form. "m" is our slope, while "b" is our y-intercept. Above , we don't have a value for b, therefore the line passes through the origin.
We do, however, have a slope, which can be thought of as or rise over run. To represent this, we can rewrite our slope as:
Meaning in each interval, the line goes up by 2 units, and moves forward by 1.
Answer:
see explanation
Step-by-step explanation:
let ∠BCE = x then ∠ECD = 5x - 6 and
∠BCE + ∠ECD = ∠BCD, substitute values
x + 5x - 6 = 162, that is
6x - 6 = 162 ( add 6 to both sides )
6x = 168 ( divide both sides by 6 )
x = 28
Hence
∠BCE = x = 28°
∠ECD = 5x - 6 = (5 × 28) - 6 = 140 - 6 = 134°