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2 years ago

X − y = 4 y − 8 = -x At which point do the given equations intersect each other?

Mathematics

1 answer:

Natali5045456 [20]2 years ago

3 0

Answer:

(6,2)

Step-by-step explanation:

Graph is below

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A line is drawn through (-7, 11) and (8, -9). The equation

Oduvanchick [21]

Answer:

$4x+3y=5$

$y=-\frac{4}{3}x+\frac{5}{3}$

Step-by-step explanation:

we have the points

(-7, 11) and (8, -9)

Find the slope

The formula to calculate the slope between two points is equal to

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

substitute

$m=\frac{-9-11}{8+7}$

$m=-\frac{20}{15}$

Simplify

$m=-\frac{4}{3}$

Write the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{4}{3}$

$point\ (-7, 11)$

substitute

$y-11=-\frac{4}{3}(x+7)$

Convert to standard form

we have

$y-11=-\frac{4}{3}(x+7)$

Multiply by 3 both sides

$3y-33=-4x-28\\4x+3y=5$

Convert to slope intercept form

we have

$y-11=-\frac{4}{3}(x+7)$

Isolate the variable y

$y=-\frac{4}{3}x-\frac{28}{3}+11$

$y=-\frac{4}{3}x+\frac{5}{3}$

8 0

3 years ago

I don't understand how to do this

ddd [48]

Answer:

64 $\pi$ in²

Step-by-step explanation:

I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.

Remember,

A = $\pi$ $r^{2}$

And if we have 4 circles that means the area of one circle is 1/4th the total

So,

A= $\frac{\pi r^{2} }{4}$

Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.

A= $\frac{16\pi }{4}$ = $\frac{4\pi }{1}$ =4 $\pi$

Now lets get it back to $r^{2}$ by square rooting the 4

A= $\sqrt{4\pi }$ =2 $\pi$

The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.

This gives us a final radius of the bigger circle of 8

Therefore, the area of the bigger circle is 8² $\pi$ which simplifies to 64 $\pi$

And a final answer of

64 $\pi$ in²

Hope this helps :)

5 0

3 years ago

True or false? -4 is a natural number.

Vika [28.1K]

No, -4 is not a natural number. It is a negative, the only natural numbers are positiv numbers. Hope this helped!

4 0

4 years ago

Which of the following best defines a postulate

Mrrafil [7]

A postulate is a statement in math that is so obvious that it does not need to be proven, that is basically what it means, in layman's terms

8 0

3 years ago

An object traveled 691.12 feet in 21.2 seconds.

Basile [38]

When we divide the number of feet (~700) by the number of seconds (~20), we get a number that is more than 30 (ft/s). Thus, only choices B and D are viable.

When we invert that rate, we get 1/(30 ft/s) = (1/30) s/ft, leaving the only viable choice as ...
B. 32.6 ft/s and approximately 0.03 s/ft

______
Units (feet, seconds) multiply and divide like any other variable. It is often useful to keep the units with the numbers of a problem so you can tell if you've done the math properly. It is more likely to be correct if the units are correct.

7 0

4 years ago

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