Answer:
3/10 and 5/10
Step-by-step explanation:
1/2 = 5/10
Answer:
x = 18 and y = 6√10
Step-by-step explanation:
First using pythagoras theorem on the small triangle
h² = 6² + 2²
h² = 36 + 4
h² = 40
h= √40
h = √4 * 10
h = 2√10
Using the similarity theorem;
y/2√10 = 6/2
y/√10 = 6
y = 6√10
To get x we will use the pythagoras theorem
y² = x²+6²
(6√10)² = x² + 36
360 = x² + 36
x² = 360 - 36
x² = 324
x = 18
Hence x = 18 and y = 6√10
Step-by-step explanation:
x=volume of the glass
(1/3)x+63=(5/8)x
63=(5/8)x-(1/3)x
63=(15/24)x-(8/24)x
63=(7/24)x
multiply both sides by 24/7
(24/7)(63)=(24/7)(7/24)x
216=x
216 cm3 is the volume (answer)
1/3 of 216 is 72
72+63=135
135/216=0.625=5/8
Answer:
4 1/3 - 2 1/4 = 25/12 or 2 1/12
Step-by-step explanation:
Part A
The graph is shown below as an attached image.
The diagram shows a straight line that goes through the two points (0,-3) and (1, -5)
I'm using GeoGebra to graph the line.
side note: (0, -3) is the y intercept which is where the graph crosses the y axis.
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Part B
Answer is choice 2
The graph can be written in the form y = mx+b, so it is linear
In this case, m = -2 is the slope and b = -3 is the y intercept
We can write the slope as m = -2 = -2/1. This tells us that we can move down 2 units and then over to the right 1 units to get from point to point. This process of "down 2, over to the right 1" happens when moving from point A to point B in the diagram below.