Hi Andres,
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Coordinates:
(6,12) and (3,21)
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Slope:
Formula: 
Solution: 
Slope: -3
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Compute the y intercept:
Use: y = mx + b
y = (-3)x + b
12 = (-3) x 6 + b
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Isolate b:
(-3) x 6 + b = 12
-3 x 6 + b = 12
-18 + b = 12
b = 30
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Slope Intercept Form:
Follow y = mx + b
m = slope
b = y intercept
Answer: y = -3x + 30
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Point Intercept Form:
Formula: y - y1 = m(x - x1)
m = slope
y1 and x1 = first coordinate set.
m = -3
y1 = 12
x1 = 6
Answer: y - 12 = -3(x - 6)
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Part B:
Approximately for every day he spends delivering he spends a 2.1 minutes on it per day. Well, the reason I say this is because on the chart it says he spends 10 days. When you multiply 10 and 2.1 you get 21!
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Hope This Helps :)
Ok, so from previous question
(x-h)^2=4p(y-k)
distance from focus to directix is 2
2/2=1=p
1>-1
focus is above the vertex
1 unit down from (0,1) is (0,0)
vertex at (0,0)
since focus is above, p is positive
(x-0)^2=4(1)(y-0)
x^2=4y
4y=x^2
divide both sides by 4
y=(1/4)x^2
f(x)=1/4x^2
2nd one is answer
Answer:
f(g(5)) = 11
Step-by-step explanation:
- f(x) = x - 2
- g(x) = 3x - 2
The composite function f(g(5)) is found by plugging g(5) for x into f(x).
Let's find g(5) first.
- g(5) = 3(5) - 2
- g(5) = 15 - 2
- g(5) = 13
Next, plug this value for x into f(x).
- f(13) = (13) - 2
- f(13) = 11
∴ <u>f(g(5)) = 11</u>.
Answer:
x = 42
y = 38
Step-by-step explanation:
for y:
there is a corresponding angle at 58° so y + 20 must equal to 58. ∴y = 38°
for x :
first locate the straight angle at CD. The angle opposite 58° must also be 58° as it is vertically opposite. We have two values here.. 58° and 22°. Use your knowledge of straight angles and add 22 + 58, which equals to 80. Now subtract from 180 which = to 100°. We know that the angle sum of a Δ is 180° so add 38 and 100, which will give you 138°. Subtract from 180 to give you a total of 42°
Sorry if this was very lengthy haha
hope it helps:)
