You are given the full length and the lengths of all the sections other than CD.
Subtract the given sections from the entire length to get CD.
12 1/2 - 6 1/2 = 6
CD = 6
Answer:
1. D
2. D
3. B
Step-by-step explanation:
1. The y-axis of the graph is the volume of gas in the tank and the x-axis is the distance traveled. So the y-intercept represents how much gas is in the tank before it has been driven anywhere. D
2. Just by inspecting the graph, we can see that the x-intercept is 240. So answers a and c are denitely incorrect. Also, since we know the graph is comparing the distance from the house to time, we can observe that the x-intercept is when the cyclist is at home or 0 miles from their house. So the x-intercept must represent the duration of time it took the cyclist to reach home. D
3. Ok so we know the equation of the line is 3x-8y-12=0, and we're trying to find the x and y intercepts. So we can plug 0 in for x to find the y-intercept. And plug 0 in for y to find the x-intercept.
x-intercept: y=0
3x-8(0)-12=0
3x-12=0
3x=12
x=4
=> (4,0)
y-intercept: x=0
3(0)-8y-12=0
-8y-12=0
-8y=12
y=-3/2
=> (0,-1.5)
So the answer is B
4. We can see that one prize is worth $6, so in theory, if the relation was linear we should be able to say that the cost of the number of prizes you buy is 6 times the number of prizes bought. Since we can see that that is not true, we can determine that the data is non-linear. We can also tell that the data is discrete because you can't buy a partial prize. So the answer is C
I'm sorry I don't have time to finish the rest of the questions!! I hope my other answers are helpful though!
Answer:
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
Cross multiply,
7*(x + 8) = 6*(3x -9 )
7x + 7*8 = 6*3x - 6*9
7x + 56 = 18x - 54
56 = 18x - 7x -54
56 = 11x - 54
11x - 54 = 56
11x = 56 +54
11x = 110
x = 110 /11
x = 10
PR = 3x -9
= 30 - 9
PR = 21
Answer:
15.33cm
Step-by-step explanation:
when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately it forms a right-angled triangle with sides AC and AD and hypotenuse CD.
Now, you may use Pythagoras theorem to solve:
AC^2 + AD^2 = CD^2
12.3^2 + 9.15^2 = CD^2
CD^2 = 235.0125
CD = square root of 235.0125 = 15.33cm
Hope this helps
Answer:
7/24
Step-by-step explanation:
