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3 years ago

Which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point

Mathematics

1 answer:

Vinvika [58]3 years ago

6 0

<u>Answer</u>

See below

Step-by-step explanation:

The given line has equation

$5x - 2y = - 6$

The slope intercept form is

$y = \frac{5}{2} x + 3$

The slope of this line is

$m = \frac{5}{2}$

The line perpendicular to this line has slope

$- \frac{2}{5}$

If this line passes through (5,-4), the point-slope form is

$y + 4 = - \frac{2}{5} (x - 5)$

The slope-intercept form is

$y = - \frac{2}{5} x- 2$

The standard form is

2x+5y=-10

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Explanation:

2+2=4

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Answer:

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Step-by-step explanation:

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I need to know the equation for this table!

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3 years ago

Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t

NeTakaya

We have been given that Layana’s house is located at $(2\frac{2}{3}, 7\frac{1}{3})$ on a map. The store where she works is located at $(-1\frac{1}{3}, 7\frac{1}{3})$ .

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

$2\frac{2}{3}\Rightarrow \frac{8}{3}$

$7\frac{1}{3}\Rightarrow \frac{22}{3}$

$-1\frac{1}{3}\Rightarrow -\frac{4}{3}$

Now we will use distance formula to solve our given problem.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting coordinates of our given point in above formula, we will get:

$D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}$

$D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}$

$D=\sqrt{0+(\frac{8+4}{3})^2}$

$D=\sqrt{(\frac{12}{3})^2}$

$D=\sqrt{(4)^2}$

$D=4$

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

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3 years ago

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Pls help me pls pls I am soo bad at math

yanalaym [24]

Answer:

Length = 40

Height = 20

Step-by-step explanation:

If you multiply 40 x 20, it equals 800

20 is also half of 40 as well.

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