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3 years ago

Number 17 (the circled one)

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

3 0

It would take 15 hours.

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2. A line passes through points (-1,-2) and (1,4). What is the equation of the line? TI

Simora [160]

Slope = "rise over run" the difference in y values divided by the difference in x values
= 6/-3 = -2 = m. It's negative because as x increases, y decreases

plug that into the point slope formula, with either point. generally use the most simple point
y-h= m(x-k) where m= -2 and (k,h) = (2,-2)

y+2 = -2(x-2)

simply if you want

Y = -2x +4 -2 = -2x +2

or

2x +y = 2

5 0

3 years ago

I'm having trouble with algebraic fractions . 3/2n-8/3=-29/12

nadezda [96]

what we can do is hmmmm get the LCD of all fractions, and multiply both sides by that LCD, let's see, we have denominators of 2, 3 and 12, so we can use the LCD of 12, and multiply both sides by 12 to do away with the denominators.

$\bf \cfrac{3}{2}n-\cfrac{8}{3}=-\cfrac{29}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{3}{2}n-\cfrac{8}{3} \right)=12\left( -\cfrac{29}{12} \right)}\implies (6)3n-(4)8=(1)-29 \\\\\\ 18n-32=-29\implies 18n=3\implies n=\cfrac{3}{18}\implies n=\cfrac{1}{6}$

5 0

3 years ago

Determine the graph of the polar equation r=4/(1-1/2cosx(theta))

crimeas [40]

Answer:

see below

Step-by-step explanation:

We assume you want the graph of ...

$r=\dfrac{4}{1-\frac{1}{2}\cos{(\theta)}}$

A graphing calculator or spreadsheet is useful for this.

You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.

r at 0° = 8

r at 30° ≈ 7.05

r at 45° ≈ 6.19

r at 60° ≈ 5.33

r at 90° = 4

r at 120° = 3.2

r at 135° ≈ 2.96

r at 150° ≈ 2.79

r at 180° ≈ 2.67

6 0

3 years ago

5x-10y+15z find the equivalent expression by factoring

Marat540 [252]

$\huge\boxed{5(x-2y+3z)}$

We can divide each term by a factor of $5$ . $5(1x-2y+3z)$

You don't need a coefficient of $1$ , so simplify that. $\boxed{5(x-2y+3z)}$

5 0

3 years ago

True or false <br><br> Any three points lie on a distinct line.

allsm [11]

Answer:

False

Step-by-step explanation:

A line is defined by and consists of at least two points, therefore, an extra point in the same plane can be located such that when joined to one of the previous two points to form another distinct line

However, three points can only lie on one distinct plane as the location of the third point together with the two colinear point form either three colinear points or a triangle which is a planar two dimensional polygon.

4 0

2 years ago