Answer:
Correct answer: B
Step-by-step explanation:
Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.
In the graph, you can see that the graph is defined for 
(not-including 1 because there is an open hole there, indicating it is not part of the domain), and 
.
Now that we know the domain, we can attach it to the graphs that lie on those domains.
We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.
At this point, you can just start crossing off answers that don't meet this criteria.
Cheers!!
The first thing we are going to assume for this case is that the tree and the post are located in the same place.
From that place, both cast a shadow in the same direction.
We then have two similar triangles.
Therefore, we have the following relationship:
From here, we clear the value of x.
We have then:
Rewriting:
Answer:
the tree is 30 feet tall
A
So, first we look at the equations
y= (x+3)^2+4 changes to
y= (x+1)^2+ 6
So, the first one is saying that we start at (-3,4)
(since when in the parentheses, it's opposite) and the second one is saying start at (-1,6), so it moved on the x-axis 2 units to the right and on the y-axis, it moved 2 units up
Answer: 5
This is because (4r + 6) means you take r and multiply that number by 4.
Because there is no number, r would equal one in this case.
4 • 1 is 4
4 + 6 is 10
This would give us 1/2(10)
Half of 10 is 5.
Therefore, the answer is 5.
Answer:
1. new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16
3. The new area is 1/9 of the original area.
Step-by-step explanation:
1. side length1 = x
side length2 = y
2x + 2y = perimeter
2(4x) + 2(4)y = new perimeter
8x + 8y = new perimeter
new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.
3. Let the length of the rectangle be x
Let width of rectangle be y
Area of rectangle = L*W
Now Each side length of the rectangle is multiplied by 1/3
So, new area = (1/3)L * (1/3)W
=(1/9)LW
So, the new area is 1/9 of the original area.
