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2 years ago

Which two points lie on a line with an undefined slope?

2 answers:

6 0

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

A. m = (5 - 0)/(-2 + 2)
m = (5)/(0)
m = error

B. m = (-2 - 0)/(0 + 2)
m = (-2)/(2)
m = -1

C. m = (2 - 0)/(2 - 0)
m = (2)/(2)
m = 1

D. m = (0 - 0)/(2 - 3)
m = (0)/(-1)
m = 0

the undefined slope would be the one that came out as error, so A

Anna11 [10]2 years ago

3 0

Answer:

Option A. $(-2,0)$ and $(-2,5)$

Step-by-step explanation:

we know that

A vertical line has an undefined slope

The lines parallel to the y-axis are vertical lines

The points that lie on a vertical line has the same x-coordinate

In this problem

the points $(-2,0)$ and $(-2,5)$ has the same x-coordinate

therefore

The points lie on a line with an undefined slope (vertical line)

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Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

2 years ago

Mikayla is training for a half-marathon. At the beginning of her training, she is able to run 2 miles without stopping. Her goal

ivanzaharov [21]

Alright, lets get started.

At the beginning of her training, she is able to run 2 miles without stopping means 2 will be in the addition when we will write the equation for her running miles.

Her goal is to increase her distance by three quarters of a mile each week.

Means in first week, she will add the distance = $\frac{3}{4}$ miles

Suppose she runs x weeks, so shee will add distance = $\frac{3}{4}x$

So, suppose she runs total number of miles = d, then

$d = 2 + \frac{3}{4}x$

Where d is total numer of miles she runs

x is number of weeks : Answer

Hope it will help :)

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2 years ago

Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1

sergiy2304 [10]

The height of statue is 12.2 inches in Troy's drawing.

Step-by-step explanation:

Given,

Actual height of statue = 305 feet

Scale used by Troy;

25 feet = 1 inch

1 feet = $\frac{1}{25}\ inches$

305 feet = $\frac{1}{25}*305 \ inches$

305 feet = $\frac{305}{25}\ inches\\$

305 feet = 12.2 inches

The height of statue is 12.2 inches in Troy's drawing.

Keywords: unit rate, division

Learn more about unit rate at:

#LearnwithBrainly

3 0

2 years ago

Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seco

antiseptic1488 [7]

Mel moves 50-35=15 feet in 5-2=3 seconds. Descent rate=15/3=5 ft/sec.
Victor moves 60-50=10 feet in 4-1=3 seconds. Descent rate=10/3=3⅓ ft/sec. Mel is faster at 5 ft/sec.

7 0

2 years ago

Read 2 more answers

tickets to a production of a midsummer night's dream at broward college cost $5 for general admission or $4 with a student ID. I

Elena-2011 [213]

Answer:

76 *5 = 380 $

184 - 76 = 108

108 * 4 = 432

432 + 380 = 812

Step-by-step explanation:

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2 years ago