All categories

3 years ago

Please help me asap!! Which of these lines, if any, are parallel or perpendicular?

Mathematics

1 answer:

Over [174]3 years ago

4 0

Lines A and B are parallel. Lines A and B apre perpendicular to Line C.

Change all of the lines from standard form to slope-intercept.

Line A: y = 4/3x + 2/3
Line B: y = 4/3x + 2
Line C: y = -3/4x + 1

Since A and B have the same slope they are parallel. C has a negative reciprocal so it's perpendicular.

You might be interested in

lease someone tell me its gonna be okay I'm so stressed rn and I cant take it anymore my teacher is so harsh on me and I'm so co

aev [14]

Answer:

It's okay baby

Step-by-step explanation:

I'm here for you, big butt men

3 0

3 years ago

A profit function is derived from the production cost and revenue function for a given item. The monthly profit function for a c

SpyIntel [72]

Check the picture below.

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
P(x) = &{{ -0.05}}x^2&{{ +500}}x&{{ -100000}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)\\\\
-------------------------------\\\\
\textit{so }-\cfrac{b}{2a}\textit{ units maximize the profit, and}\\\\\\
c-\cfrac{b^2}{4a}\textit{ dollars is the maximum profit}$

5 0

3 years ago

Need help show work??????

o-na [289]

Answer:

The t-shirt cost $10.70

Step-by-step explanation:

12.25 + T = 22.95

-12.25 -12.25

T=10.70

8 0

3 years ago

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have l

Tema [17]

Answer:

4 cm and 7 cm

Step-by-step explanation:

Given that Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm.

We know that opposite sides are equal in a parallelogram.

Hence we have

$5n-6 = 3n-2\\2n =4\\n=2$

Hence the side length = $5(2)-6 =4 cm$

The adjacent side = $2n+3\\=2(2)+3\\=7cm$

Thus answer is 4 cm and 7 cm

3 0

3 years ago

Read 2 more answers

Pls solve part b) iii thanks

Viktor [21]

The bearing of the tree from Q is 296.565°

<h3>How to determine the height of the tree?</h3>

The figure that illustrates the bearing and the distance is added as an attachment

The given parameters are:

Base of the tree, b = 50 meters

Angle (x) = 32 degrees

Calculate the height (h) of the tree using:

tan(x) = height/base

So, we have:

tan(32°) = h/50

Make h the subject

h= 50 × tan(32°)

Evaluate

h = 31.24

Hence, the height of the tree is 31.24 meters

<h3>How to determine the distance between Q and the base of the tree?</h3>

The distance (d) between Q and the base of the tree

This is calculated using the following Pythagoras theorem

d = √(100² + 50²)

Evaluate

d = 111.80

Hence, the distance between Q and the base of the tree is 111.80 meters

<h3>How to determine the angle of elevation?</h3>

The angle of elevation (x) using the following tangent trigonometric ratio

tan(x) = h/d

This gives

tan(x) = 31.24/111.80

Evaluate the quotient

tan(x) = 0.2794

Take the arc tan of both sides

x = 15.61

<h3>The bearing of the tree from Q </h3>

This is calculated using:

Angle of bearing = 270 + arctan(50/100)

Evaluate the arc tan

Angle of bearing = 270 + 26.565

Evaluate the sum

Angle of bearing = 296.565

Hence, the bearing of the tree from Q is 296.565 degrees