In GHJ, GH = 21 inches, HJ = 24 inches, and GJ = 9 inches. Which statement is true? A. G is smallest B. J is smallest C. H is largest D. G is largest

G is the smallest

H is the largest

Step-by-step explanation:

Given

Required

Which of the statements is true

First, we need to solve for G, H and J as follows:

--- (1)

--- (2)

--- (3)

Make G the subject in (1)

Substitute 21 - H for G in (3)

Collect Like Terms

Make J the subject

Substitute H - 12 for J in (2)

Collect Like Terms

Solve for H

Substitute 18 for H in

Substitute 18 for H in

So, we have that:

Hence, we can conclude that:

G is the smallest

H is the largest

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .