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3 years ago

What is the slope of a line that is perpendicular to the line 2x-4y=24

Mathematics

1 answer:

DanielleElmas [232]3 years ago

3 0

Answer: y= -2x + 24

Step-by-step explanation

2x - 4y = 24

subtract 2x from both sides

divide 4y by 4y to get y by itself

then you get y= -2x + 24

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Is the expression completely factored: 12x ^ 2 - 2x - 24

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No, It is not. Factor out 2 from it

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3 years ago

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Answer:

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3 years ago

Y=5575(0.65)

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Step-by-step explanation:

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3 years ago

I dont really know how to do soh cah toah. please help me find x.

Ipatiy [6.2K]

First notice that the triangle with sides $x,y,a$ and the triangle with sides $z,a+b,x$ are similar. This is true because the angle between sides $x,y$ in the smaller triangle is clearly $30^\circ$ , while the angle between sides $y,z$ in the larger triangle is clearly $60^\circ$ . So the triangles are similar with sides $x,y,a$ corresponding to $a+b,z,x$ , respectively.

Now both triangles are $30^\circ-60^\circ-90^\circ$ , which means there's a convenient ratio between its sides. If the length of the shortest leg is $\ell_1$ , then the length of the longer leg is $\ell_2=\sqrt3\ell_1$ and the hypotenuse has length $\ell_3=\sqrt{{\ell_1}^2+{\ell_2}^2}=2\ell_1$ .

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4 years ago

How many terms are there in a geometric series if the first term is 3, the common ratio is 4 and the sum of the series is 1,023

Olenka [21]

The sum of a geometric sequence is:

s(n)=a(1-r^n)/(1-r) in our case:

s(n)=3(1-4^n)/(1-4)

s(n)=-(1-4^n)

s(n)=(4^n)-1 and s=1023

(4^n)-1=1023

4^n=1024

n ln4=ln1024

n=(ln1024)/(ln4)

n=5

4 0

4 years ago