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3 years ago

Are two lines with the same slope and different y-intercepts always, sometimes, or never perpendicular?

Mathematics

2 answers:

ryzh [129]3 years ago

4 0

They are never perpendicular. They will be parallel and will never meet!

lorasvet [3.4K]3 years ago

3 0

Answer:

Never perpendicular

Step-by-step explanation:

Two lines with the same slope and different y-intercepts on the Cartesian Plane, behave like that graph below. Since they do not form a 90º angle and do not have any common point, then they are neither perpendicular nor concurrent. So these are parallel lines.

Notice that parallel lines share the value for the slope. In this case, m=3

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The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi

Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

$\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} - \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674$

7 0

3 years ago

camie and jorge each saving money for a new computer camie saves $5 per week plus $50 she received for her birthday. jorge saves

ki77a [65]

Answer:

7w<u> > </u>5w + 50

Step-by-step explanation:

8 0

3 years ago

Your store cost on a dozen eggs is $0.75, and your retail price is $2.99. You are having a promotion that discounts the

posledela

Answer:

$1.94

Step-by-step explanation:

5 0

3 years ago

How many times smaller is 4 × 10-9 than 8 × 10-7? A. 200 B. 20 C. 20,000 D. 2,000

masya89 [10]

Answer:

Step-by-step explanation:

4×10-9= 4

8×10-7=21

21-4=17

4 0

3 years ago

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millil

alekssr [168]

Answer: The actual height of train = 4.896 meters.

Step-by-step explanation:

Since we have given that

Lina has a scale model of a modern train

Model is created at a scale is given by

1:48

Height of the model train = 102 millimeters

We need to find the actual height of the train.

Since there is direct variation between model and actual height of the train.

According to question,

$\frac{1}{48}=\frac{102}{x}\\\\x=102\times 48\\\\x=4896\ millimeters\\\\x=4.896\ m$

Hence, the actual height of train = 4.896 meters.

6 0

3 years ago