Use point-slope form to write the equation of a line that passes through the point
(-3, -16) with slope -
1/2

Answers

Answer 1

Answer:

Step-by-step explanation:

Point slope form: y - y1 = m(x -x1)

[tex]y - [-16] = \dfrac{1}{2}(x - [-3] )\\\\y + 16 = \dfrac{1}{2}(x + 3)\\\\\\y + 16 = \dfrac{1}{2}x + \dfrac{3}{2}\\\\y =\dfrac{1}{2}x+\dfrac{3}{2}-16\\\\y=\dfrac{1}{2}x +\dfrac{3}{2}-\dfrac{32}{2}\\\\\\y=\dfrac{1}{2}x - \dfrac{29}{2}[/tex]

Answer 2

Answer:

[tex]y= -\frac12 x +\frac{29}2[/tex]

Step-by-step explanation:

Let's start with the point- slope form:

[tex]y-y_0=m(x-x_0)[/tex]

and replace the values we have

[tex]y-(-16) = -\frac12 (x-(-3))[/tex]

We're almost there, we just need to write it in a better looking form.

[tex]y+16= -\frac12 (x+3)\\y=-\frac12 x - \frac32 + \frac{32}2\\y= -\frac12 x +\frac{29}2[/tex]


Related Questions

Question is in Spanish. Please explain you answer :)

Answers

Answer:

Every number on the left is multiplied by 8 to equal the number on the right.

Step-by-step explanation:

if motorist drove a distance of 90km at constant speed for the first 40km and then drove 30 km/hr faster for the rest of the journey if the journey took him one hour, his average speed for the first 40 km is​

Answers

Answer:

Step-by-step explanation:

The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.

The whole journey took him 1hr.

Let S denotes the average speed (in km/hr) for the first 40 km.

Hence we get the following relation,

40/S + (90 - 40)/(S + 20) = 1

or 50/(S + 20) = 1 - 40/S = (S - 40)/S

or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0

or S = 80 (km/hr) [Ans]

[S cannot be negative value]

help please!! I don't get it :(​

Answers

Answer:

90 degree

Step-by-step explanation:

What they said 90 degrees

find the proabilty of rolling factors of 5 on both sides.

Answers

I believe the answer is 1/5

roots and solution
(polynomial equation)
x3 + 6x2 - x - 30 = 0 ​

Answers

Answer:

hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it

Answer:

x=-5;-3;2

Step-by-step explanation:

all the details are in the attached picture (the answers are marked with red colour).

1) to determine the possible roots;

2) to check the possible roots, then to stop when the first one is found (it is 2);

3) to perform division of polynoms, then to re-write the given equation in comfortable form;

4) to calculate other roots.

Note, the suggested solution is not the shortest way and not the only one.

P.S. make the design according local requirements.

Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water. If someone uses 400 liters of orange juice, how much soda water would they need? And how many batches would that make?

Answers

Answer:

They would need 500 liters of soda water and this would make 100 batches of the sparkling orange juice.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

Answer:

500 soda water, 100 batches, just a guess so sorry if im wrong

Step-by-step explanation:

Can someone help me with 15 and 16 Please!

Answers

With what? You have no attached documents and this is your only asked question on your brainly profile IM SO SORRY

What is a simple way to find 12 mod 7 + 12 mod 7 + 12 mod 7 + 12 mod 7?

Answers

12 ≡ 7 + 5 ≡ 5 (mod 7)

so

12 + 12 + 12 + 12 ≡ 4•12 ≡ 4•5 ≡ 20 ≡ 14 + 6 ≡ 6 (mod 7)

Write the following number in expanded form.

176,945,596​

Answers

Answer:

= 176,945,596

Step-by-step explanation:

100,000,000 + 70,000,000 + 6,000,000 + 900,000 + 40,000 + 5,000 + 500 + 90 + 6 = 176,945,596

= 176,945,596

(Hope this helps can I pls have brainlist (crown)☺️)

The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.

800 grams = (How many?)
pounds

700 grams = (How many?)
pounds

Answers

Answer:

Here they are unrounded

800 grams = 1.7637

700 grams = 1.54324

Step-by-step explanation:

Hope this helps

can someone pls help me with this

Answers

Answer:

were is the qn?

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

Answer:

top box) 216

middle box) 54

bottom box) 4

Step-by-step explanation:

surface area is 6s^2

top) side = 6 so

[tex]6(6^{2})[/tex]

6(36)

216

middle) side = 6 so

[tex]6(3^{2})[/tex]

6(9)

54

bottom)

216/ 54

4

5.
The perimeter of a regular octagon is 88 cm.
a) Write an equation you can solve to find the side length of the octagon.
b) Solve the equation.

Answers

Answer: a) side length = perimeter ÷ 8

b) 11cm

Step-by-step explanation:

side length = the perimeter ÷ 8( there are 8 sides in an octagon)

= 88 ÷ 8

= 11cm

hope u understand

solve pls brainliest

Answers

Answer:

24 m^2

Step-by-step explanation:

To find the area of the cement, we subtract the area of the grass from the total area of the grass and cement.

Total area: 6 × 5 = 30Grass area: 3 × 2 = 630 - 6 = 24

Therefore, the answer is 24 m^2.

Step-by-step explanation:

area of the whole backyard(6 mltiplied by 5=30)_area of grass(2 multiplied by 3 =6)

30_6=24

the answer is 24 square meters

Doug digs a hole that is 1.7 feet below ground level. He plants a bush that is 3 7/10 feet tall from the bottom of the root to the top branch. how much of the Bush is above the ground? (help this assignment is apart of my grade!)​

Answers

Answer:

2 feet

Step-by-step explanation:

37/10 - 1.7

3.7 - 1.7

2.0

= 2 feet

A college professor wants to survey a sample of students taking his course. Here are some details about his course:He teaches555 sections of the course.There are250250250 total students across those sections.There are505050 graduate students and200200200 undergraduate students taking the course.Each section has about505050 students (some graduate and some undergraduate).The professor wants to take a sample of303030 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account.

Answers

Answer:

d

took the test

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

khan academy

17 rounded to the nearest 10th of a degree

Answers

Answer: 20

Step-by-step explanation:

17 is closest to 20 :)

(sorry if this is wrong)

20 because if your rounding to the nearest 10 the range you have is 10-20 because 17 is in between 10 and 20, then you can count or just tell which one 17 is closer to: 17-10=7 so 17 is 7 away from ten, then 20-17=3 so 17 is three away from 20. so now you choose the answer that is closer to the number:)

hope this helps!!

Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?​

Answers

He spent on transport = 20%

spent on breakfast = 60/-

spent on lunch = 15%

remaining amount = 340

rs he spent on transport = 20/100 × 340 =68

rs he spent on lunch = 15/100 × 340 = 51

Therefore, total of his pocket money = 68 + 51 + 60 + 340

= ₹519

Daryl spent $4.68 on each pound of trail mix. He spent a total of $14.04. How many pounds of trail mix did he purchase?

Answers

Answer: 3 pounds

Step-by-step explanation:

brainliest me

Answer:

3

Step-by-step explanation:

14.04 divided by 4.68 is 3

pre calc pls help me i really appreciate it

Answers

Answer:

[tex]a_{14} = 10496[/tex]

Step-by-step explanation:

A geometric sequence is of the form:

[tex]ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot[/tex]

So the given values can be represent as:

[tex]1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164[/tex]

So you have a system of equations with two unknows [tex]a[/tex] and [tex]r[/tex]. Then you can find one unknow in terms of the other.

[tex]a = \frac{-164}{r^{10}}[/tex]

Now replace [tex]a[/tex] in the first equation

[tex]\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\[/tex]

You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.

[tex]r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4[/tex]

For find [tex]a[/tex] only replace [tex]r[/tex] in whatever of the two equations.

[tex]-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}[/tex]

After find [tex]a[/tex] and [tex]r[/tex] use the next formula for find the [tex]14^{th}[/tex] term.

[tex]ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x[/tex]

Write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of 5 3 − = x y that passes through the point (8, 5).

Answers

Answer:

e

Step-by-step explanation:

PLZ HELP…..Are the following set of numbers a Pythagorean triple? 101,20,99

Answers

Answer:

Yes, Yes they are. Unless they are supposed to be in the order "20 99101" then they are most definitely a pythagorean triple.

Answer:

Yes, the sides would form a right triangle.

Step-by-step explanation:

[tex]99^2 + 20^2 = 101^2\\\rule{150}{0.5}\\99^2 + 20^2 = 10201\\\\9801 + 400 = 10201\\\\\boxed{10201 = 10201}[/tex]

Hope this helps.

Please give me the answer

Answers

Answer:

8%

If you need the work comment on this post.

Solve

2^3n-4>0

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

Answers

Answer:

2^3n-4>0 4

Step-by-step explanation:

brainlies me plsss

What is the measure of angle n°?

Answers

The measure of angle n is 45 degrees.

This polygon is what we call an octagon, having 8 sides.

So, to find the measures of the exterior angles, we can take 360 degrees divided by 8 angles to arrive at 45 degrees for each exterior angle, known as angle n. :)

NO LINKS
2. How many solutions does this system have?
2x+y=3
6x = 9 - 3y
O one
Onone
O infinite
Otwo

Answers

Answer:

D - Two.

Step-by-step explanation:I took the test and this was the correct answer.

Solve pls with explanation!


((mn^8)/n^9 )^3


WILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

m is only raised to the 3rd power. The 8 effects only the n

Numerator

m^3

(n^8 )^3 = n ^24

denominator

(n^9)^3 = n^27

Answer: m^3 * n^24 / n^27 = m^3 / n^(27 - 24) = (m/n )3

Hi!

Given:

[tex](\cfrac{mn^8}{n^9} )^3[/tex]

First, let's do what is inside the parenthesis. Since we're dividing, we subtract unlike exponents, and if there are any negatives, we switch them to make them positive:

[tex]8-9=-1[/tex]

Switch since it's negative:

[tex]\frac{m}{n} ^3[/tex]

Solve the following system of equations graphically on the set of axes below.
y=−x−8

3x−2y=6

Answers

Answer:

b

Step-by-step explanation:

b took the test np

What is an explanation or picture of how to work out the problem 8.13-2.716

Answers

Answer:

5.414

subtract 8.13 from 2.716 and u will get ur answer

I need help with my math homework :(

Answers

We plug in 14 for x when we set the two equations equal to each other to prove they are equal.

So true LM congruent to MN

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