Dilation by a scale factor of 2 followed by reflection about the x-axis
Answer:
Which plant was taller when Nara got the plants? C. They were equally tall
Which plant grew faster? B. The second plant
Step-by-step explanation:
Slope of the first plant :
m = (y2 - y1)/(x2- x1)
m = (36 - 34)/(15 - 10) = 0.4
y-intercept of the first plant :
y = m*x + b
b = y1 - m*x1
b = 34 - 0.4*10 = 30
From the picture we can see that the y-intercept of the second plant is 30 cm
Y-intercept represents plant heights when Nara got the plants; then they were equally tall
From the picture we can see that second plant grew 2 cm in 2 days; then its slope is 2/2 = 1
Slope measures how fast each plant grew; then the second plant grew faster
Step-by-step explanation:
Since
varies directly as
we can write the relation as

where k is the constant of proportionality.
a) To solve for the k, we substitute the given values:


b) The equation relation x and y can be written as

c) When y = 9,

ANSWER

EXPLANATION
We want to factor

out of

The first term is already having a factor of

The constant term which is the second term is not having a factor of

so we need to use a trick of multiplying and dividing by the same factor to obtain,

We can now factor

out of the right hand side to obtain,

Let us rewrite the right most fraction using the normal division symbol.

We simplify to obtain,

This further gives us,
