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Harrizon [31]
3 years ago
5

Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?

Mathematics
2 answers:
melamori03 [73]3 years ago
8 0

Answer: \dfrac{2}{5}

Step-by-step explanation:

We know that slope of a line that passes through P(a,b) and Q(c,d) is given by :-

m=\dfrac{d-b}{c-a}

Given points : A(4, 5) and B(9, 7).

Then, the slope of line AB that contains points A(4, 5) and B(9, 7) is given by :-

m=\dfrac{7-5}{9-4}\\\\\Rightarrow\ m=\dfrac{2}{5}

Hence, the slope AB =\dfrac{2}{5}

horsena [70]3 years ago
4 0
The answer is 2/5 which is C. You're welcome
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During the first part of a​ trip, a canoeist travels 96 miles at a certain speed. the canoeist travels 15 miles on the second pa
blondinia [14]
This problem is a problem using 
d = r * t
First part of the trip
d = 96 miles
r = ??
t = ??

Second part of the trip
d = 15 miles
r = r - 5
t = 4 - t

Solve for r first.
96/r + 15/(r - 5) = 4 hours                multiply through by r and r - 5
96(r - 5) + 15r  = 4*(r - 5)(r)             Remove the brackets on the left
96r - 480 + 15r = 4*r*(r - 5)             Collect like terms on the left.
111r - 480 = 4r(r - 5)                        Remove the brackets on the right.
111r - 480 = 4r^2 - 20r                     Bring the left side over to the right side.
0 = 4r^2 - 20r - 111r + 480               Collect like terms.
0 = 4r^2 - 131r + 480

The only way I could do this was to use the quadratic equation.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 4

b = - 131

c = 480

\text{x = }\dfrac{ -(-131) \pm \sqrt{(-131)^{2} - 4*4*480 } }{2*4}
\text{x = }\dfrac{ 131 \pm \sqrt{(17161) - 7680 } }{8}
\text{x = }\dfrac{ 131 \pm \sqrt{9481 } }{8}
\text{x = }\dfrac{ 131 \pm 97.37  }{8}

x = (131 + 97.38)/8
x = 28.55
x = (131 - 97.37)/8
x = 4.20

4.2 isn't going to work because the slower speed has to be larger than 5, otherwise you will get a negative speed (as this solution will give), so 4.20 is an extraneous solution.

r = 28.55 for the first  part of the trip and
r = 23.55 for the second part of the trip.

Check.
Let's see if the times add up to 4
d/r = t
96/28.55 = 3.36
15/22.75 = 0.64

The times do = 4, so the rates are correct.

Answers
r1 = 28.55 for the 96 mile trip.
r2 = 23.55 for the 15 mile trip.

8 0
3 years ago
Mark and Amber Vinson have $22,000 to invest in two accounts, part at 10% and part at 12%. If they want to earn a return of at l
KengaRu [80]
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120%

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You multiply then solve for y
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Answer:

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Andrej [43]

Answer:

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Step-by-step explanation:

Given:

Cost of each banana = $0.90

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Computation:

Assume;

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8 0
2 years ago
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