Find the equation of the line through (-4,-1) and parallel to y = -1/2x +1 in slope-
intercept form.
d) y = -1/2x - 3
c) y = 1/2x + 3
b) y = 2x - 3
a) y = -1/2x + 3

Answers

Answer 1

Step-by-step explanation:

Let the equation of the line be y = mx + c

since the line is parallel to y = -1/2x + 1, the two lines have the same gradient.

therefore, m = -1/2

sub (-4, -1):

-1 = -1/2(-4) + c

c = -3

therefore equation of the line is y = -1/2x - 3

This question demands knowledge on coordinate geometry's slope intercept form and finding unknowns. If you would like to venture further, you can check out my Instagram page (learntionary). Thanks!


Related Questions

For a party, you buy 4 3/8 lbs of salt water taffy. If 150 people are attending, how much salt water taffy does each person get?

Answers

Answer:

Step-by-step explanation

150 divided by 4 3/8 = 34.2

Pls help thanks

.............

Answers

Answer:

Can you re-take the picture? It's too shaky then I can help you :)

A book costs $4.75 plus sales tax. After sales tax, the book is $5.13. What is the approximate sales tax rate?

Answers

Answer:

Step-by-step explanation:

5.13 - 4.75 = 0.38

4.75 / 0.38 = 12.5

Please help me! The question is in the screenshot below.

Answers

Answer:

There are two solutions:

= 0.34 , = 11.66

Both solutions are rounded to the nearest hundredth.

Which decimal number is equal to 3/18 ?
A. 0.167
B. 0.16¯
C. 0.16¯¯¯¯
D. 0.167¯¯¯¯¯

Answers

3/18 is equal to 0.16 repeating over the 6

Answer:

Second option

Step-by-step explanation:

In order to find the answer to this question you have to divide the numerator into the denominator remembering that whole numbers have a secret decimal point to the right of itself.

[tex]\frac{3}{18}[/tex]

[tex]\frac{3}{18} =3\div18[/tex]

[tex]3\div18=0.16666666666[/tex]

= 0.16666666666  or 0.16 repeating

Hope this helps.

Someone please help with this middle school math lol

Answers

#1 is 65 by 75, next is 3 by 9, and the last is 75 by 25

The weights in a weighted mean can be relative frequencies

Answers

Answer:

WHAT IS THIS QUESTION ABOUT?

Step-by-step explanation:

NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is c

Step-by-step explanation:

Q.3)
Find the mean absolute deviation of the fulfilled items on Sherrie's registry. $29, $58, $15, $129,
A. 19
B. 54.7
114
D. 32.67

Answers

The answer is b 54.7

There are 2 value's in a game. one of them is Pancake, the other is waffle. Pancakes are worth 1.5x a waffle. I have 10 waffles, how much Pancake value do I have?

Answers

Answer:

Approximately 6.67 pancakes.

Step-by-step explanation:

We can write an equation that relates the two items.

Let P represent Pancake and let W represent Waffle.

Pancakes are worth 1.5 times a Waffle. Therefore:

[tex]W=1.5P[/tex]

To find the Pancake value for 10 Waffles, we can substitute 10 for W and solve for P. Therefore:

[tex]\begin{aligned} W&=1.5P \\ 10&=1.5P \\ 6.\overline{6}&=P \end{aligned}[/tex]

Hence, 10 Waffles equates to approximately 6.67 pancakes.

Find the general solution for the differential equation (dy)/(dx) + 3y = 18
Y=

Answers

Answer:

[tex]y=-e^{-3x-c_1}+6[/tex]

Step-by-step explanation:

[tex]\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6[/tex]

Work out the mean data for 9.7,4.5,1.9,8,6.6

Answers

Step-by-step explanation:

im not really sure about this but I think it's 6.1

Appreciate if sum one could give me help

Answers

Answer:

okay so

Step-by-step explanation:

A and B together means straight

C is curved or somthing like curved bc

its not like a circle i would so Horizontical or Vertical

If Luke can now mow 10 yards in 5 hours, how many lawns can he mow in 8 hours?

Answers

Answer:

Step-by-step explanation:

10 yards in 5 hours is 2 yards an hour

8*2=16 yards in 8 hours

Answer:

16 yards

Step-by-step explanation:

he would mow 2 yards an hour in 5 hours because 2 x 5 = 10 so if you use 2 it would be 16

20 PTS! Is the answer h=2.7?

Answers

Answer:

Yes your right

Step-by-step explanation:

Find the indicated values, where g(t)=t^2-t and f(x)=1+x g(f(2)+3)

Answers

Answer:

[tex]g(f(2)+3)=30[/tex]

Step-by-step explanation:

We have the two functions:

[tex]g(t)=t^2-t\text{ and } f(x)=1+x[/tex]

And we wish to find:

[tex]g(f(2)+3)[/tex]

First, let’s find f(2) first. So, we will substitute 2 for x for f(x):

[tex]f(2)=1+(2)=3[/tex]

Hence, we can now substitute 3 for f(2):

[tex]g(f(2)+3)=g(3+3)=g(6)[/tex]

Now, we can find g(6). Substitute 6 for t for g(t):

[tex]g(6)=(6)^2-(6)=36-6=30[/tex]

Therefore:

[tex]g(f(2)+3)=30[/tex]

Solve the inequality for x:
4x - 28 > 16

Answers

We have:

4x - 28 > 16

Add 28 to both sides:

       [tex]4x-28+28>16+28[/tex]

Simplify:

       4x > 44

Divide both sides by 4:

      [tex]\dfrac{4x}{4}>\dfrac{44}{4}[/tex]

Simplify:

       [tex]\boxed{x>11}[/tex]

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x>11\:\\ \:\mathrm{Interval\:Notation:}&\:\left(11,\:\infty \:\right)\end{bmatrix}[/tex]

Understanding Prime Factorization
Which expressions show the prime factorization of 90?
Check all that apply.
2 3 x 15
22 x 3 x 5
0 2x 32 5
0 2 x 5 x 9
o 2 x 3 x 3 x 5
Intro
Done

Answers

Ans) The prime factorization of 90 is 2 × 3 × 3 × 5.

The last one 2 x 3 x 3 x 5

In the 2015 NFL season, the Philadelphia Eagles won 7 games, the New York Giants won 6 games, and the Houston Texans won 9 games. Select whether each statement is true or false.

Answers

1. true 2. true. 3. false

Answer:

dey r all true

Step-by-step explanation:

5 divided by 10
(This is a random question I just thought of, whoever answers first I’ll give brainliest)

Answers

5/10 xdddddddddddddddd

.5

Step-by-step explanation:

5 divided by 10 is 0.5

PLEASE HELP ASAP WILL MARK BRAINLEIST​

Answers

Answer:

x = 85°, y = 30°

Step-by-step explanation:

40° + x + 55° = 180°

x + 95° = 180°

x = 85°

85° + 65° + y = 180°

150° + y = 180°

y = 30°

If a couple has 3 children, what is the probability of all three children being girls? Justify.

Answers

Answer:

The probability of all three children being girls will Be: 1/8

Step-by-step explanation:

The couple has 3 children.

We have to determine the probability of all three children being girls.

As we know that for each child, the probability of being a girl is ' [tex]\frac{1}{2}[/tex] ' as is the probability of being a boy is ' [tex]\frac{1}{2}[/tex] '.

so for there to be all girls, the probability will be:

P  ( all girls)  = 1/2 × 1/2 × 1/2 = 1/8      

Therefore, the probability of all three children being girls will Be: 1/8        

47
Simplify
52
4 10
55
RE
5
421
56
127
153

Answers

Please rephrase the question. It would be helpful if you post a picture of it. The way it is worded is confusing.

Find the value of the expression: 1/3√.81-1

Answers

Answer:

1/6

Step-by-step explanation:

1/3÷by.81_81_1 and =1/6according to the calculator :^)

A cab company charges $4 per cab ride, plus an additional $2 per mile driven. Write an equation that shows the relationship between the distance x and the cost y. Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 2x + 4

Step-by-step explanation:

So, the cab company charges a flat fee of $4 per cab ride, meaning 4 has no variables in the equation. Now, x is the distance, and the cab company charges $2 per mile driven. Per mile driven is a distance unit, so the x goes with the 2. From that, you can get that the cost is equal to 4 dollars plus 2x (2 times the distance in miles). This is y = 2x+4.

Answer 1 and 2 please and thank you

Answers

Answer:

C  DONT REPORT ME

Step-by-step explanation:

estimate each product 8 × 56.7​

Answers

Answer:

465??

Step-by-step explanation:

15 POINTS IF U ANSWER CORRECT


Max ran 5 miles on Thursday. One mile is equal to 5,280 feet. Which proportion can be used to determine how many feet, x, Max ran on Thursday?

Answers

Answer:

x/5 = 5280/1

Step-by-step explanation:

this is a proportion set up and then cross multiple. You will get your answer for x. Which is 26, 400 feet.

Determine whether the planes are parallel, perpendicular, or neither.8x + 8y + 8z = 1, 8x − 8y + 8z = 1 parallel perpendicular neither Correct: Your answer is correct.If neither, find the angle between them. (Round your answer to one decimal place. If the planes are parallel or perpendicular, enter PARALLEL or PERPENDICULAR, respectively.)

Answers

Answer:

The answer is "[tex]\bold{\theta= 70.53^{\circ}}[/tex]"

Step-by-step explanation:

The given value:

[tex]8x+8y+8z = 1\ and \ 8x-8y+8z = 1[/tex]  

When the normal vectors are in the plane:  

[tex]n_1 = < 8,8,8 > \ and \ n_2 = < 8, -8, 8>:[/tex]

Because the two variables really aren't proportional to each other and the wings are not parallel.  

Let us just find that two vectors' dot product.

[tex]n_1 \cdot n_2 =<8,8,8> < 8,—8,8>\\\\ = 64-64+ 64 \\\\ = 64 \neq 0[/tex]

Therefore, we won't find that angle between both the given planes as parallel.

[tex]\cos \theta = \frac{n_1 \cdot n_2}{|n_1||n_2|}\\\\\cos \theta =\frac{64}{\sqrt{192} \sqrt{192}}\\\\\cos \theta =\frac{64}{8\sqrt{3} 8\sqrt{3}}\\\\\cos \theta = \frac{1}{3}\\\\ \theta = 70.53^{\circ}[/tex]

It is required to know the orientation of one plane relative to the other.

The angle between the planes is 70.5°.

Planes

The given planes are

8x + 8y + 8z = 1

8x − 8y + 8z = 1

Parallel

[tex]\dfrac{8}{8}=\dfrac{8}{-8}=\dfrac{8}{8}\\\Rightarrow 1\neq -1\neq 1[/tex]

The planes are not parallel.

Perpendicular

[tex]8\times 8+8\times -8+8\times8=64\neq 0[/tex]

The planes are not perpendicular as dot product is not 0.

Finding angle

[tex]\theta=\cos^{-1}\dfrac{8\times 8+8\times -8+8\times8}{\sqrt{8^2+8^2+8^2}\sqrt{8^2+(-8)^2+8^2}}\\\Rightarrow \theta=\cos^{-1}\dfrac{1}{3}\\\Rightarrow \theta=70.53^{\circ}[/tex]

Learn more about planes:

https://brainly.com/question/26262923

What is the area of the figure?

Answers

Answer:   17.5 square yards

================================================

Work Shown:

base = 5 yards

height = 7 yards

The base and height are always perpendicular to one another

area of triangle = 0.5*(base)*(height)

area of triangle = 0.5*(5)*(7)

area of triangle = 17.5 square yards

The other values aren't used. They're likely thrown in as a distraction.

Other Questions
Unit Test Review Active 1 2 3 Which best describes a model of ? five wholes divided into 12 equal pieces twelve wholes divided into 5 equal pieces a whole divided into 5 equal pieces with 12 pieces shaded in O a whole divided into 5 equal pieces and another whole divided i -4x+7. x= -1 (show work) Whats hamlets plan A) kill Claudius in his sleep B) flee to France C) join with Norway in their attack on Claudius army D) pretend to be crazy What is the difference between bone and cartilage? Give examples of each. HELP PLEASE!!!!!!!When the Duchess estimated it, she estimated 6190. Then the Countess estimated it and got 5320. How much greater was the Duchess estimate?? 2) The coordinates of the vertices of quadrilateral ABCD are A(-1,8),B(0,4), C(-2,1), and D(-4,3). Quadrilateral A'B'C'D' is the image ofquadrilateral ABCD after a rotation of 180 about the origin. State thecoordinates of the vertices of A'B'C'D'. Write an equation for the line shown on the graph below.A: y= 10xB: y= -10C: y= 50xD: y= -50x When plates move it can cause the surface of the earth to change in appearance This is my oc hope you like it Read this excerpt from The Call of the Wild, and consider the context clues. What is the meaning of the underlined word? But a cold snap was on the thermometer registering fifty below zero, and each time he broke through he was compelled for very life to build a fire and dry his garments O encouraged or suggested O taught or instructed O obligated or forced O informed or explained A system of equations is shown below: 2x = 5y + 4 3x 2y = 16 What is the solution to this system of equations? (5 points) (8, 4) (8, 4) (4, 8) (4, 8) A city council consiste of 8 democrats and 6 republicans. If a committee of 4 people is selected,find the probability of selecting 2 democrats and 2 republicans In a cafeteria, 5/8 of the students are eating salads, and 1/4 are eating sandwiches. There are 24 students in the cafeteria. How many students are eating lunches other than salads or sandwiches? PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :) DO YOU AGREE OR DISAGREE AND WHY? 3/5 of Camden's toys are orange. What percentage of Camden's toys are not orange? I have a "Travel Journal Slides" project on World History A-please read through on what I need to do for this project-you DON'T need to actually do the project-can you please just give me a basic layout on how I should do my slides (please add pictures, it'll help me understand what you're talking about)-i'm really lost on how I should do this so I would really appreciate your helpplease and thank you. Find the missing side length of JK . Because of storage and space problems, how are many magazines kept in libraries today?encyclopediasmicrofilmmicrofichedigitallyAnswers II, III, and IVAnswers II and IVAnswer IVNone of the aboveIf you were researching the British author Charles Dickens, what should you type into the computer catalog to get the most articles that relate to your topic?BRITISH AUTHORDICKENS AUTHORCHARLES AUTHORBRITISH DICKENSWILL GIVE BRAINLIEST Find the equation of the circle with center at (3,-2) and radius of 3. The ABS company has a capital base of $270 million, an opportunity cost of capital (k) of 19%, a return on assets (ROA) of 9%, and a return on equity (ROE) of 29%. What is the economic value added (EVA) for ABS