(0,-2)(- 2,1)....I found 2 whole number sets of points
slope = (y2 - y1) / (x2 - x1)
(0,-2)....x1 = 0 and y1 = -2
(-2,1)...x2 = -2 and y2 = 1
now we sub
slope = (1 - (-2) / (-2 - 0) = (1 + 2) / -2 = -3/2...this is ur slope
the y intercept is where the line cross the y axis...and it is -2 or (0,-2)...this is one way to find it....there is another way that I will show u later in the problem
y = mx + b
slope(m) = -3/2
u can use either of ur points (-2,1)...x = -2 and y = 1
now sub and find b, the y intercept
1 = -3/2(-2) + b
1 = 3 + b
1 - 3 = b
-2 = b .......this is the other way to find the y int.
so ur equation is : y = -3/2x - 2.....and in y = mx + b form, the slope is in the m position and the y int is in the b position
to find the x intercept, take ur equation, sub in 0 for y and solve for x...or u could look at ur graph and see where the line crosses the x axis...but in this problem that would not be easy because it is not a whole number
y = -3/2x - 2
0 = -3/2x - 2
3/2x = -2
x = -2 / (3/2)
x = -2 * 2/3
x = -4/3 or (-4/3,0)
u could also find the y int by subbing in 0 for x and solving for y
Answer:
Number of cm= 40 cm
Step-by-step explanation:
Giving the following information:
3 cm equals 45 kilometers
1 cm= 45 /3 = 15km
<u>We need to determine how many centimeters represents 600 km. We will use the following formula:</u>
<u></u>
Number of cm= total km / km per one cm
Number of cm= 600 / 15
Number of cm= 40 cm
<h3>
Answer: 4</h3>
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Rule:
If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )
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Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.
So,
tan(B) = 1/( tan(A) )
tan(B) = 1/( 0.25 )
tan(B) = 4
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Here's another way to think about it.
If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25
When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,
tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.
For any of these cases, we don't involve the hypotenuse AB.
Answer:
The building's shadow will be 60 feet.
Step-by-step explanation:
Think of John as a vertical line, and his shadow as a horizontal line on a 90 degree angle, and well as the building and it's shadow.
This is a proportions problem, so you want to match the similar items, right? John and the building are similar, and the two shadows are similar.
Now, set up fractions so you can butterfly multiply to get x, the shadow of the building. John/JohnShadow = Building/BuildingShadow. These two will equal the same thing because they are the same proportion.
5/12 = 25/x
5(x) = 12(25)
5x = 300
x = 300/5
x = 60
The building's shadow will be 60 feet. If you do the math, 5/12 = .4167, and 25/60 = .4167, so the proportions match. Hope this helps, comment if you are confused!