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sattari [20]
3 years ago
12

Find the slope of the line that passes through the pair of points listed below.

Mathematics
1 answer:
Tresset [83]3 years ago
8 0

Answer:

Step-by-step explanation:

(-2,-4),(-1.5, -1.5)

y2 = -1.5, y1 = -4, x2 = -1.5, x1 = -2

Slope m = (y2 - y1)/(x2 - x1)

m = (-1.5 + 4)/(-1.5 + 2)

m = 2.5/0.5

m = 5

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Paha777 [63]
I would say C. and A. Hope this helps.
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3 years ago
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In each of the following ,make y the subject and hence find the value of y when a=2, b=3 ,and c=4.
zvonat [6]

Part i


\dfrac{2a-7}{6y} = \dfrac{3b-5}{2c}


y = \dfrac{ 2c(2a-7)}{6(3b-5)} = \dfrac{c(2a-7)}{9b-15}


Substituting,

y = \dfrac{4(2(2)-7)}{9(3)-15} = \dfrac{ -12}{12} = -1


Answer: -1


Part ii


I'm not sure that one's typed in correctly but I'll solve it as written.


3-34y + 2a = \dfrac{3b-5}{2c + 1}


34y  = 3+2a-\dfrac{3b-5}{2c + 1}


y = \frac 1 {34}\left(3+2a-\dfrac{3b-5}{2c + 1} \right)


We're not asked to simplify it so I wont. Substituting,


y = \frac 1 {34}\left(3+2(2)-\dfrac{3(3)-5}{2(4) + 1} \right) = \frac 1 {34}(7-4/9) = \dfrac{59}{306}


Answer: 59/306



3 0
3 years ago
Pablo borrowed $900 from a credit union for 3years and was charged simple interest at a rate of 3%. What is the amount of intere
tensa zangetsu [6.8K]

Answer:81

Step-by-step explanation:

6 0
2 years ago
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If f(x) = kx^3+ x^2 − kx + 2, find a number k such that the graph of f contains the point (k, -10)
Elina [12.6K]

If we write k where we see x in the equation and set the result equal to -10, we get the result.

  • f(k)=k(k)^3+k^2-k(k)+2
  • =k^4+k^2-k^2+2
  • =k^4+2=-10
  • k^4=-12
  • k_{1}=\sqrt[4]{3}(-1-i)
  • k_{2}=\sqrt[4]{3}(-1+i)
  • k_{3}=\sqrt[4]{3}(1-i)
  • k_{4}=\sqrt[4]{3}(1+i)

4 0
11 months ago
What is the volume of the cylinder below radius 8 height 3 in pi units Answer choices: A)96pi unit^3 B)192pi unit^3 C)225pi unit
WARRIOR [948]

Hey!

The formula for finding volume of a cylinder is: π · r² · h

r = 8 \\ r^{2} = 8 \times 8 = 64

h = 3

Now multiply

\pi \times 64 \times 3 = 192\pi

<em>Your answer is B)192π units³</em>

Good luck and hope this helps! :)

7 0
3 years ago
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