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3 years ago

The Equation (y-y1)=m(x-x1) represents the point-slope form of a linear equation.Which equation can be used to find y1?

Mathematics

2 answers:

Triss [41]3 years ago

5 0

Y1=y-Mx+mx1 is the answer so c

mr Goodwill [35]3 years ago

3 0

Answer:

standard form

Step-by-step explanation:

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-3 13/24 divided by 1 7/8 = ___________?

hammer [34]

Answer:

-17/9

Step-by-step explanation:

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3 years ago

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Write this equation in standard form<br> y + 4 = 2/3 (x+7)

Karo-lina-s [1.5K]

Answer:

$y=\frac{2}{3}x+\frac{2}{3}$

Step-by-step explanation:

The standard equation of a straight line is of the form:

$y=mx+c$

We have to convert the given equation into above form.

Simplifying the given equation:

$y=\frac{2}{3}x+\frac{14}{3}-4$

$=\frac{2}{3}x+\frac{(14-12)}{3}$

$=\frac{2}{3}x+\frac{2}{3}$ .- This is in standard form

where $m=c=\frac{2}{3}$

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3 years ago

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

777dan777 [17]

Answer: (C) 13,120

<u>Step-by-step explanation:</u>

Given the sequence {4, 12, 36, 108, ... , 8748} we know that the first term (a) is 4 and the ratio (r) is $\dfrac{12}{4}=3$

Input the values above into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{4(1-3^8)}{1-3}\\\\.\quad=\dfrac{4(1-6561)}{-2}\\\\.\quad=\dfrac{4(-6560)}{-2}\\\\.\quad=-2(-6560)\\\\.\quad=13,120$

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3 years ago

If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and

Scilla [17]

Take the cross product, then normalize the result.

$\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k$

This has norm

$\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2$

and so a unit vector orthogonal to both given vectors is

$\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k$

An equally correct answer would be the negative of this vector, since $\mathbf b\times\mathbf a=-\mathbf a\times\mathbf b$ .

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3 years ago

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disa [49]

Answer:

8^-2a^7 = a^7/8^2 = a^7/64

Step-by-step explanation:

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2 years ago

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