Please help me quickly -5

PLEASE I NEED HELP WITH BOTTOM PART WILL MARK BRAINLIEST!!

kipiarov [429]

Answer:

13.

parallel: y = 1/3x -3

perpendicular: y = -3x - 3

14.

parallel: y = 4x - 1/2

perpendicular: y = -1/4x - 1/2

15.

parallel: y = -2x + 4

perpendicular: y= 1/2x + 4

16.

parallel: y = -2x-2

perpendicular: y= 1/2x-2

17.

parallel: y = -2x+8

perpendicular: y= 1/2x + 8

Step-by-step explanation:

A perpendicular has a negative reciprocal slope and a parallel has the same slope

6 0

2 years ago

Read 2 more answers

1. Simplify. (343)1/3

elena-s [515]

1) 343/32 or 10.71875 or 10 23/32
2)-8
3)7

8 0

3 years ago

Find , , and if and terminates in quadrant .

ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

,

• cos2x

,

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

$\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}$ $\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}$

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

$\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})$ $=\frac{12}{13}$

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

$\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\ \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}$

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

$\tan 2x=\frac{2\tan x}{1-\tan ^2x}$ $=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}$ $=\frac{\frac{4}{3}}{1-\frac{4}{9}}$ $=\frac{\frac{4}{3}}{\frac{9-4}{9}}$ $=\frac{\frac{4}{3}}{\frac{5}{9}}$ $=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}$

OR

$\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}$

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0

1 year ago

Wil give brainlet ASAP!a A boating company has the following notice at the gate:

irinina [24]

Answer:

Step-by-step explanation:

A. If children are considered people under the age of 18, then the answer would be

13 < a < 18 where the a represents age, where the inequality signs do not have an equals to because those ages are excluded

B. This inequality can be shown on a number line with open circles denoting the endpoints 13 and 18 as they are not included, and a line connecting these two points which represents the ages encompassed by the range

7 0

3 years ago

A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?

frozen [14]

I think that the answer is true

6 0

2 years ago

Please help me quickly -5 - 6a = -59