0.618 divided by 1.03 will equal to 0.6
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)
Answer:
Step-by-step explanation:
First, the y-intercept is -3 so from -3 the slop to the next point is 4/1.
Answer:
Reflection across y axis
Translate up by 3 units
Step-by-step explanation:
Given
Required
Describe the transformation from f(x) to g(x)
First, take a reflection of f(x) across the y axis.
So f(x) becomes f(-x)
when reflected
Next, translate f(-x) up by 3 units to give g(x)
Where
Hence, the transformation from f(x) to g(x) includes:
Reflection across y axis
Translate up by 3 units
0.10r + 0.20b = 24
3r = b + 20....b = 3r - 20
0.10r + 0.20(3r - 20) = 24
0.10r + 0.60r - 4 = 24
0.70r = 24 + 4
0.70r = 28
r = 28/0.70
r = 40 <=== there are 40 reds
0.10r + 0.20b = 24
0.10(40) + 0.20b = 24
4 + 0.20b = 24
0.20b = 24 - 4
0.20b = 20
b = 20/0.20
b = 100 <=== there are 100 blues
