Can anyone help me with this please
2 answers:
For the first two use the formula
Calculate 15 x 15 + 36 x 36 = 1521
Now its
1525 = C^2
Fins the squeare root of 1521 whitch is 39
and square c^2 as well whitch make it C^1 or simple C
This give us a final anwser of the missing side
39 = C
Second triangle
For this the formual is different since we are not finding the lenght of the hypotunus (C), we know this becauee the missing angle is met my a 90 digree angle.
Here the equasion is C^2 - A^2 = B^2
WE will it in again
15^2 - 9^2 = B^2
Calaulate 15 x 15 - 9 x 9 = 144
Now its 144 = B^2
Again we find the square root for each side
Square root of 144 is 12
and Square root of B^2 is Simpley B
We put in togethe to find the final anwser whitch is
12 = B
For the last two it is simple
<u>All angles of a triangle added together must always equal 180 degrees</u>
So it the two side are 75 and 32 we add them (75+32) to get 107
Now we just subtract that amount (107) form 180 to get the third missing angle. 180 - 107 = 73
Here the missing angle is 73
One way to know if this is correct is to add all side and see if it equaels 180
75 + 32 + 73 = 180
For the second question it seems to be exactly the same as the first in the photo so the anwser would also be 73.
Hope this helps! :)
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See the attached image to see how all of the answers fill out.
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Problem 6a
The slope of line A is -1/1 or just -1
The reason why is because we start at (0,3) and move down 1 and over to the right 1 to get to the next point (1,2). Alternatively you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.
Since the slope of line A is -1, this means that we'll write "-1" in the first row of the "constant rate of change" column.
-----------------------------------------
The two points (0,2) and (1,3) are on the line B
Use the slope formula to get
m = (y2-y1)/(x2-x1)
m = (3-2)/(1-0)
m = 1/1
m = 1
The slope of line B is 1. Write "1" in the second row of the "constant rate of change" column.
-----------------------------------------
The points (0,-4) and (1,-2) are on line C
Slope:
m = (y2-y1)/(x2-x1)
m = (-2-(-4))/(1-0)
m = (-2+4)/(1-0)
m = 2/1
m = 2
The slope of line C is 2, which is written in the last row of the "constant rate of change" column.
-----------------------------------------
Now onto the y intercept column.
Line A crosses the y intercept at the point (0,3) or simply 3 on the y axis. So we'll have 3 in the first row.
Write 2 in the next row under the "3" to indicate that the y intercept of line B is 2. The black line B crosses the y axis at 2 on the vertical number line.
Similarly, the y intercept for line C is -4. This red line crosses the vertical y axis at -4
-----------------------------------------
Now onto the x intercept
The x intercept of line A is 3. This is where the blue line crosses the horizontal x axis.
The x intercept of line B is -2. This is where the black line crosses the horizontal x axis.
The x intercept of line C is 2. This is where the red line crosses the horizontal x axis.
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Problem 6b
Equation D: y = 2+x
is the same as
y = x+2
The slope here is 1 (since y = x+2 is the same as y = 1x+2) and the y intercept is 2.
The fact that
Slope = 1
and
y intercept = 2
means we have a match with line B
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The equation y = -4+2x is the same as y = 2x-4
Slope = 2
y intercept = -4
this matches with line C
-----------------------------------------
y = 3-x is the same as y = -x+3
which can be written as y = -1x+3
Slope = -1
y intercept = 3
This matches with line A
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See the attached image to see how all of the answers fill out.
