Answer:
3² + 6 × 2² - 4² ÷ 2³ = 31.
Step-by-step explanation:
Answer:
Construct MN.
Since M is the midpoint of OA, OM = MA
Similarly, N is the midpoint of OB.
Thus, ON = NB.
Now, in Δs OMN and OAB,
∠MON = ∠AOB (common angle)
(sides are in proportional ratio; OA = 2OM and OB = 2ON)
∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)
Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)
But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)
Thus, AB || MN (QED)
Answer:
The slope is 1/4 so the slope intercept form is y=1/4+3
Step-by-step explanation:
To find the slope the easiest way from looking at a graph is just to find the rise over run. From looking at the graph we can see that the next point from 0,3 is 4,4. The y here is increased by 1, which means the rise is 1. The x is increased by 4 so the run is 4. From putting rise (1) over run (4) the slope is 1/4. The formula for slope intercept is y=mx+b. m is slope so we substitue that for 1/4 so now we have y=1/4x+b. Then the b is the y intercept, or, at what point the line crosses the y line. Which in this case is 0,3 so the y intercept would be 3 because that is what height it crosses the y line.
Answer:
7/2 or 3 1/2
hope this helps
have a good day :)
Step-by-step explanation:
