6×12 = 72
72 - (3x3) = 63
63 in ^2
Answer:
y = - 9x + 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 9x - 2 ← is in slope- intercept form
with slope m = - 9
Parallel lines have equal slopes, thus
y = - 9x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = - 18 + c ⇒ c = - 3 + 18 = 15
y = - 9x + 15 ← equation of parallel line
Answer:
<h2><u>
j = 38</u></h2>
Explanation:
ʲ⁄₋₂ + 7 = -12
Subtract 7 From Both Sides
ʲ⁄₋₂ + 7 - 7 = -12 - 7
Simplify
ʲ⁄₋₂ = -19
Multiply Both Sides By -2
(-2) ʲ⁄₋₂ = -19 (-2)
<h2><u>j = 38</u></h2>
Answer:
All the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.
To find - Which answer choice correctly maps this dilation algebraically?
Proof -
Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.
Now,
Let the coordinates be (x, y)
If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as
(x, y) ⇒ (ax, ay)
Here given , a = 2
So, all the coordinates are changed to
(x, y) ⇒ (2x, 2y)
At this case it could be calculated like this: 7+5*20=107