Well... to solve use rise over run... that is to find the slope,
now to find the y-intercept you look at what coordinate crosses the y-axis.
y= (what you got for the slope Ex. 1/2)x + (the y-intercept)
Figure it out and you got the answer with just a bit of help!!!
Hope this helps!
Answer:
x=30
Step-by-step explanation:
The two angles are supplementary. They add to 180
4x+20 + 40 =180
Combine like terms
4x+60 =180
Subtract 60 from each side
4x+60-60 = 180-60
4x = 120
Divide each side by 4
4x/4 = 120/4
x = 30
The distance would be equal to 2 times the longest side of the rectangle plus twice the shortest side multiplied by pi / 2 for the semicircle, that is:
longest side 96 and shortest 48
D = 2 * (96) + 2 * (1/2) * pi * 48
D = 192 + pi * 48
This shorter side, which starts at 48, will expand each time by two more in proportion to 20 of the running track between 8 than the number of divisions, that is, 2 * (20/8) = 5
In other words, there are 8 distances, like this:
D1 = 192 + 3.14 * 48 = 342.72 yd
D2 = 192 + 3.14 * (48 + 5) = 358.42 yd
D3 = 192 + 3.14 * (48 + 10) = 374.12 yd
D4 = 192 + 3.14 * (48 + 15) = 389.82 yd
D5 = 192 + 3.14 * (48 + 20) = 405.52 yd
D6 = 192 + 3.14 * (48 + 25) = 421.22 yd
D7 = 192 + 3.14 * (48 + 30) = 436.92 yd
D8 = 192 + 3.14 * (48 + 35) = 452.62 yd
Answer:
D
Step-by-step explanation:
Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.
To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.
Keep in mind that these points are only roughly placed on the map.
But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.
To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.
47 - 35 = 12
To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.
122 - 78 = 44
I assume that the answer you should pick is D. (12, 44)
However, that doesn't exactly answer the question... it's worded a little weirdly.
To solve the rest of the equation, do the following:
Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.
a^2 + b^2 = c^2
12^2 + 44^2 = c^2
144 + 1936 = c^2
2080 = c^2
c =
c = 45.61
The answer is 45.61 units.