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3 years ago

Draw a line representing the "rise" and a line representing the "run" of the line, State

Mathematics

1 answer:

Alexxx [7]3 years ago

4 0

Answer:

The slope of the line m = 1

The equation of the straight line x -y -7=0

Step-by-step explanation:

Explanation:-

In the given graph

The points are ( 7,0) and ( 0, -7)

The slope of the line

$m = \frac{y_{2}- y_{1} }{x_{2}-x_{1} } = \frac{-7-0}{0-7} = \frac{-7}{-7} = 1$

The equation of the straight line passing through the point (7,0) and slope m=1

y - y₁ = m (x - x₁)

y - 0 = 1( x-7)

y = x -7

x - y -7=0

Final answer:-

The slope of the line m = 1

The equation of the straight line x -y -7=0

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What types of numbers are undefined when they are under a radical sign? If you were dealing with the number √-1, would it be def

Misha Larkins [42]

The square root of a a negative integer is imaginary.
It would still be a negative under a square root if you multiplied it by 2, therefor it will still be imaginary, or I’m assuming as your book calls it, undefined.
2•(sqrt-1) = 2sqrt-1

If you add a number to -1 itself, specifically 1 or greater it will become a positive number or 0 assuming you just add 1. In that case it would be defined.
-1 + 1 = 0
-1 + 2 = 1

If you add a number to the entire thing “sqrt-1” it will not be defined.
(sqrt-1) + 1 = 1+ (sqrt-1)

If you subtract a number it will still have a negative under a square root, meaning it would be undefined.
(sqrt-1) + 1 = 1 + (sqrt-1)

however if you subtract a negative number from -1 itself, you end up getting a positive number or zero. (Subtracting a negative number is adding because the negative signs cancel out).
-1 - -1 = 0
-1 - -2 = 1

If you squared it you would get -1, which is defined
sqrt-1 • sqrt-1 = -1

and if you cubed it, you would get a negative under a square root again, therefor it would be undefined.
sqrt-1 • sqrt-1 • sqrt-1 = -1 • sqrt-1 = -1(sqrt-1)

Sorry if this answer is confusing, I don’t have a scientific keyboard, I’ll get one soon.

8 0

3 years ago

What is the perimeter of the actual garden?

Lilit [14]

Answer: 576 inches or 48 feet

Step-by-step explanation:

set up a proportion where $\frac{drawing AB}{actual AB} =\frac{drawing perimeter}{actual perimeter}$

so you get drawingAB = 24 in

actualAB = 18 feet = 18 * 12 in = 216 in

drawing perimeter = 64 in

so plug these in to get $\frac{24}{216} =\frac{64}{actual perimeter}$

rearrange to get $actual perimeter = \frac{216 * 64}{24}$

and solve to get 576 inches or 576/12 = 48 feet

4 0

3 years ago

Please please please help me I need it within 10 minutes!

Alja [10]

Mr Green- Brown tie
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Hope this helps in the meantime :)

5 0

4 years ago

Two cruise ships leave the same port with a 35° angle between their path. Cruise A is traveling at 18 miles per hour and Cruise

GuDViN [60]

Answer:

$20\:\mathrm{miles}$

Step-by-step explanation:

After travelling two hours, the two cruise ships form a triangle. One of the legs of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:

$s=\frac{d}{t}, d=s\cdot t$

Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:

$d=s\cdot t=18\cdot 2=36\:\mathrm{miles}$

Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:

$d=s\cdot t=15\cdot 2=30\:\mathrm{miles}$

Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:

$c^2=a^2+b^2-2ab\cos C$ , where $a$ , $b$ , and $c$ are interchangeable. Let $c$ represent the distance between the two cruises. We have:

$c^2=36^2+30^2-2\cdot36\cdot30\cdot \cos 35^{\circ},\\c^2=426.63,\\c\approx \fbox{$20\:\mathrm{miles}$}$ (one significant figure).

8 0

3 years ago

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Look at picture please :)

erma4kov [3.2K]

Answer:

To find the amount that it accelerated, you need to find the change in the mph. First you would subtract 70 and 10 to find that number. That tells you the total amount of change. Then to figure out how much it would be per second you divided that number by the total number of seconds (12).

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers