Which fraction is equivalent to 4 over negative 15

Mathematics

1 answer:

Artist 52 [7]3 years ago

7 0

Answer:

- 4/15

Step-by-step explanation:

Just take 4 and 15 make that a fraction make the fraction a negative not the 15 because they will be the same thing no matter where you place it

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which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
\\y=\frac{41}{16}x-\frac{55}{8}$

6 0

3 years ago

Evaluate this expression <img src="https://tex.z-dn.net/?f=8%5E%7B-2%7D" id="TexFormula1" title="8^{-2}" alt="8^{-2}" a

shepuryov [24]

Answer:

0.015625

Step-by-step explanation:

Rule: $a^{-n} = \dfrac{1}{a^n}$

$8^{-2} = \dfrac{1}{8^2} = \dfrac{1}{64} = 0.015625$

6 0

2 years ago

Read 2 more answers

Determine and state the coordinates of the center and length of the radius of a circle whose equation is

padilas [110]

First, rewrite the equation in standard form.
The center-radius form of the circle equation is in the format:
(x – h)^2 + (y – k)^2 = r^2
with the center being at the point (h, k) and the radius being "r".

(x-3)^2 + (y+4)^2 = 81

From here, you can determine the center and radius. The center is at (3,-4) and the radius is 9.