Answer:
He used 17/3 feet = 5 and 2/3 feet
Step-by-step explanation:
∵ He bought 9 and 1/3 feet = 28/3 feet
∵ He had 3 and 2/3 feet left = 11/3 feet
∴ He used = 28/3 - 11/3 = 17/3 feet = 5 and 2/3 feet
Answer:
50
Step-by-step explanation:
just look at the segment in common
25×2=50
Answer:
you didn't feature any graphs for me to choose from
Answer:
See attachment
Step-by-step explanation:
We want to graph
on the interval -10 to 10.
Let
be the parent absolute value function.
We can easily graph
, if we use translation.
When the parent function is shifted downwards by 12 units, we obtain the graph of
.
The parent function is a v-shaped graph with vertex at the origin.
We shift the parent function down so that its vertex is now at (0,-12) to get the graph of
.
See attachment for the graph of
on the specified interval.
Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!