Answer: See below
Step-by-step explanation:
<u>Given:</u>
AB = CD and BC = DE
<u>To prove:</u>
AC = CE
Statements Reasons
- AB = CD Given
- AB + CB = CD + BC Addition property of equality
- AB + BC = CD + DE Given: BC = DE
- AC = CE By segment addition: AB + BC = AC and CD + DE = CE
Therefore, AC = CE has been proved
Each tablet is 250 milligrams. Your doctor wants you to take 3 grams (g) per day
We know ,
1 gram = 1000 milligrams
250 milligrams makes 1 tablet
so 1000 milligrams makes how many tablets
= 4 tablets
1000 milligrams makes 4 tablets. That is 1 gram = 4 tablets
1 gram = 4 tablets
3 grams = 3 * 4 = 12 tablets
So you need to take 12 tablets per day.
<span>Part
A: What do the x-intercepts and maximum value of the graph represent?
There are two x-intercepts: x = 0 and x = 36
Those values are the points at which the height of the tunnel is 0.
That means that the width of the tunnel at the ground level is 36 - 0 = 36.
The maximum value of the graph is 32, at x= 18. That, represents that at the center, x= 18, the tunnel has a height of 32.
What are the intervals where the function is increasing and decreasing,
and what do they represent about the distance and height? (6 points)
The interval where the function is increasing is (0,18) and the interval where teh function is decreasing is (18,36)
That represents that the height starts to increase with the distance (from 0 to 18) reaches a maximum of 32, at x = 18, and starts to decrease with the distance until x = 36.
Part B: What is an approximate average rate of change of the graph from x
= 5 to x = 15, and what does this rate represent? (4 points)
The average rate of change from x = 5 to x = 15 is the change in height divided by the change in distance
=> average rate of change = Δy / Δx
Δy ≈ 31 -14 = 17
Δx = 15 - 5 = 10
=> Δy / Δx ≈ 17 / 10 = 1.7
</span>
Solution,
y = -x-4......(i)
3x + y =- 16.......(ii)
Now,
Substituting the value of y in equation (ii)
or, 3x + (-x-4)= -16
or,3x - x - 4 = -16
or, 2x= -16 +4
or, x = -12/2
: x = -6
Then,
Substituting the value of x in (i) equation;
or,y= -(-6) - 4
or,y= 6 - 4
: y =2
Answer:
75
Step-by-step explanation:
o find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.
