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3 years ago

12

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

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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Vertical angles must: Check all that apply

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

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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:

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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