Question

Use the image to answer the question.

A coordinate plane's x-axis ranges from negative 5 to 8 and its y-axis ranges from 0 to 8, both by 1-unit increments. Points upper A and upper C are plotted and connected by a solid line.

Determine the length of AC¯¯¯¯¯¯¯¯
.

(1 point)
Responses

3.61
3.61

6.32
6.32

7.81
7.81

5

Answer 1

I can’t see the image you mentioned. Please either re-upload the image or tell me the coordinates of A and C.

Meanwhile, here’s how to get the answer yourself:

1. Read the coordinates A(x1,y1) and C(x2,y2) from the grid.
2. Use the distance formula: AC = sqrt[(x2 − x1)^2 + (y2 − y1)^2].
3. Evaluate the squared differences and take the square root. (Round to two decimal places to match the choices.)

Note: common Δx,Δy combinations that match the answer choices:
- Δx=2, Δy=3 → sqrt(4+9)=sqrt(13) ≈ 3.61
- Δx=6, Δy=2 → sqrt(36+4)=sqrt(40) ≈ 6.32
- Δx=6, Δy=5 → sqrt(36+25)=sqrt(61) ≈ 7.81
- Δx=5, Δy=0 → sqrt(25)=5

Tell me the coordinates (or re-upload the image) and I’ll pick the correct choice.