Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
On further simplification, we get
Therefore, the distance between the given points is 
units.
Answer:
Add 7 to both sides
Step-by-step explanation:
You would need to add 7 to both sides to cancel out the 7 on the right side of the equation to get x one step closer to being by itself.
Then you would get 4x = -8.
Next divide by 4 on both sides to get x by itself so do the inverse operation of what 4 was doing to x.
x = -2
11. 8 * 18 =
144 in³, Option D
12. Half the height of 8 cm is 4 cm. Volume = 4 * 6 * 10 =
240 cm³, Option D
13. Double the dimensions you get 8 cm for the height, 6 cm for the radius. Then plug in. V = pi * (6)² * 8 >> pi * 36 * 8 =
288pi or ≈ 904.78, Option C
14. Half of all the dimensions are 1 in, 4 in, and 3 in. 1 * 4 * 3 =
12 in³, Option B
15.
>> 16x = 180 >> x = 11.25
so Option B
16. Option D, 10 cm.
17. Option C, 8.5 in
18. Option B. 10.2 km
19. Option D. 0.82
20. cos 30 = b / 11.5 >> b = 11.5(cos (30)) =
9.96 m, Option C.
Calculate a simple probability p=x/n, here x is the defective,so the answer is 4/50
Answer:
5.0
Step-by-step explanation:
Using Pythagorean Theorem:
a² + b² = c²
where a =? b= 12 in and c = 13 in
a² + (12)² = (13)²
a² + 144 = 169
a² = 169 - 144
a² = 25
a = √25 = 5
∴ a = 5.0
Pythagoras Theorem is usually applied when finding one missing side of a right-angle triangle.
