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3 years ago

What is the slope of the line passing through the points (−1, 7) and (4, −1)?

Mathematics

2 answers:

Annette [7]3 years ago

5 0

-2 Is the answer to the question

Damm [24]3 years ago

3 0

Hey!

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Formula: $m = \frac{y2 - y1}{x2 - x1}$

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Steps To Solve:

~Substitute

$m = \frac{-1 - 7}{4 - (-1)}$

~Simplify

$m = \frac{-8}{5}$

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Answer:

$\large\boxed{C)~\frac{-8}{5} }$

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Hope This Helped! Good Luck!

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A complex number z_1z 1 z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ∣=6vertical bar, z, start subscript

aliina [53]

Answer:

The answer is " $\bold{9.19- 9.19\ i}$ "

Step-by-step explanation:

When the value of $z_1$ has the following properties:

$\to |z_1| =13$

$\theta = 315^{\circ} \\\\ = 1.75 \pi\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ (\pi = 180^{\circ})$

Calculating the value of $z_1$ :

$= 13 \times [ \cos(1.75 \pi ) + i \sin(1.75 \pi) ] \\\\= 13 \times[\cos(1.75 \pi - 2\pi ) + \ i \sin(1.75 \pi - 2\pi )]\\ \\= 13 \times [\cos(-0.25 \pi ) +\ i \sin(-0.25 \pi) ]\\\\= 13 \times [0.707106781 - 0.707106781]\\\\ =9.19 - 9.19\ i \\\\$

3 0

3 years ago

a father is 10 times as old as his son. in 5 years he will be 5 times as old as his son. how old is the father and the son now

inn [45]

Answer:

The father is 40 and the son is 4.

Step-by-step explanation:

40 + 5 = 45.

4 +5=9.

45 divided by 5 = 9

5 0

4 years ago

What is the justification for the step taken from line 2 to line 3?

stiv31 [10]

Step-by-step explanation:

$3x+9-7x=x+10+x\\-4x+9=2x+10\\-6x+9=10\\$

In the line 2, only variables were operated with a reduction of similar terms in each side of the equation, giving as result -4x at one side, and 2x at the other side.
In the line 3, terms with variables were joined together in one side of the equation, and then, they were operate it, given as result -6X.