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gladu [14]
3 years ago
14

Write the equation of a line parallel to y=3x-2 and goes through the point (-6,-11)

Mathematics
1 answer:
zzz [600]3 years ago
5 0

Answer:

The equation of the line would be y = 3x + 7

Step-by-step explanation:

In order to find the equation of the new line, start by taking the slope from the first line (3). This is because parallel lines have the same slope. Next, we use that and the point in point-slope form.

y - y1 = m(x - x1)

y - -11 = 3(x - -6)

y + 11 = 3(x + 6)

y + 11 = 3x + 18

y = 3x + 7

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-3x - 8 + 6x = 7 wat is the answer
Aliun [14]
3x-8+6x=7
9x-8=7
9x=15
x=9/15
x=3/5

7 0
3 years ago
Read 2 more answers
Write an equation in standard form of the hyperbola described.
marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}

5 0
2 years ago
Allison earns a $40,000 base salary plus a commission equal to 15% of your total sales if you are in $70,000 last year what was
Anettt [7]
15/100*70000=$10500
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5 0
3 years ago
Which of the following statements are true about the triangles?
Arisa [49]
Show the triangle in the picture
4 0
2 years ago
Seven-ninths of the pencils in a box are yellow. Three-tenths of the yellow pencils are sharpened. What fraction represents the
jek_recluse [69]

Answer:

7/30

Step-by-step explanation:

We are given that Seven-ninths (7/9) of the pencils in a box are yellow and three-tenths (3/10) of the yellow pencils are sharpened.

To find the fraction that represents sharpened yellow pencils, we find the product of the the fraction of yellow pencils and the fraction of yellow pencils that are sharpened.

That is:

=> (7 / 9) * (3 / 10)

=(7 * 3) / (9 * 10)

= 21 / 90

= 7 / 30

7/30 represents the fraction of sharpened yellow pencils.

3 0
3 years ago
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