What is an equation of the line that passes through the points (-4, -2) and (-8, 3)?

Answers

Answer 1

Answer:

[tex]y = -\frac54x -7[/tex]

Step-by-step explanation:

Slope:

[tex]\frac{3 - (-2)}{-8 - (-4)}[/tex][tex]-\frac{5}{4}[/tex]

Y-intercept:

[tex]y = -\frac54x + b\\[/tex][tex]-2 = -\frac54(-4) + b[/tex][tex]-2 = 5 + b[/tex][tex]b=-7[/tex]

y = -5/4x -7

-Chetan K

Answer 2
find the gradient of the line -

3 - -2/ -8-4 = 5/-12

then sub this value into y=mx+c

y=(5/-12)x + c

then sub in one of the given coordinates

3 = (5/-12)(-8) + c

c= 3/ (5/-12 x -8)



Related Questions

NEED HELP ASAP!

Of the rocks in a box, 1/3 are igneous, 60 are
metamorphic, and the remaining 40% are sedimentary.
How many rocks are in the box?

1= 160
2= 180
3= 200
4= 225

Answers

4.) 225

1/3+4/10+60

1/15= 15

15*15= 225

A farmer's truck is carrying 42/3 tons of hay and straw. If 325 tons of the load is
hay, how much straw is the truck carrying??

Answers

Answer:

1[tex]\frac{4}{15}[/tex] of straw

Step-by-step explanation:

The total amount of straw and hay together is, [tex]4 \frac{2}{3}[/tex].

and the total amount of hay alone is, [tex]3\frac{2}{5}[/tex]

All you need to do is subtract the hay from the total, which gives you, the answer above.

Verify trigonometric identiy

Answers

Answer:

see explanation

Step-by-step explanation:

Using the identity

cos²Θ = 1 - sin²Θ

Consider the left side

sin²Θ - cos²Θ

= sin²Θ - (1 - sin²Θ ) ← distribute parenthesis by - 1

= sin²Θ - 1 + sin²Θ

= 2sin²Θ - 1

= right side , thus verified

A fishing supply store buys fishing rods for $11 and sells them at a markup of 220% One day, they decide to put the rods on sale and
mark them down by 20%
What is the sale price of a fishing rod?
$35.20

$28.16

$19.36

$7,04

Answers

Answer:28.16

Step-by-step explanation:

A markup of 220% would bring 11 to 35.20, and a mark down of 20% would bring 35.20 to 28.16.

Your'e Welcome  (ФДФ) .

Determine all solutions to the equation 1 over sine theta equals 2 times sine theta on the interval [0, 2π).

Answers

The solution to the trigonometric equation in the interval is given by:

[tex]x = \frac{\pi}{4}[/tex]

What is the trigonometric equation?

In this problem, the equation is given by:

[tex]\frac{1}{\sin{\theta}} = 2\cos{\theta}[/tex]

Applying cross multiplication, we have that:

[tex]2\sin{\theta}\cos{\theta} = 1[/tex]

Applying a trigonometric identity, we have that:

[tex]\sin{2x} = 1[/tex]

We have that on the interval [0, 2π), [tex]\sin{\left(\frac{\pi}{2}\right)} = 1[/tex]

Hence:

[tex]\sin{2x} = 1[/tex]

[tex]\sin{2x} = \sin{\left(\frac{\pi}{2}\right)}[/tex]

[tex]2x = \frac{\pi}{2}[/tex]

[tex]x = \frac{\pi}{4}[/tex]

For [tex]\frac{3\pi}{4}[/tex], we have that:

[tex]\sin{2x} = \sin{\left(\frac{3\pi}{2}\right)} = -1[/tex]

Hence only the first solution is correct.

More can be learned about trigonometric equations at https://brainly.com/question/24680641

Choose the equation of the line in slope-intercept form.
Parallel to y = 3x - 1 and has the point (-2,-1).

A. y = -1/3x + 2
B. y = -1/3x + 5
C. y = 3x + 5
D. y = 3x + 2

Answers

answer:

y = 3x + 5

steps-explanation:

given sample equation:

y = 3x - 1

comparing to the formula of slope intercept form: y = mx + b

                                              [ where m is the slope and b is the y-intercept ]

we can determine here that the slope is 3 and -1 is the y-intercept.

but here we need only the slope.

in parallel, the slope is same: 3

formula:                  

y - y1 = m(x - x1)

using the formula:                     [ here known that y1 is -1 and x1 is -2 ]

y - -1 = 3(x - -2)y + 1 = 3x + 6y = 3x + 5

Can someone help me with these ;)))

Answers

Answer:

1st question answer is 3xy(x-3y+4xy)

2nd question answer is (2+y) (x+3)

hope it helps

Which measurement is a reasonable length for 3 new pencils laid end-to-end?
A) 3 inches
B) 18 inches
C) 13 feet
D) 8 feet

Answers

Feet and Yards. A ruler is equal to 12 inches or 1 foot. A yard is equal to 3 feet. A yardstick equals 3 rulers. Use rulers to

HELP FAST PLSSSSSSSSSSSSSS

Answers

the answer is just 50° for both

A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find
the probability that a blue marble will be drawn.
A.1/3
B.1/11
C.1/7
D.3/14
Please select the best answer from the choices provided

Answers

3/14 chance. There are 1 more red marble, and 4 more green marbles. The probability of a blue marble is low, but could still happen.

3/14 there is 14 marbles and 3 if them are blue,


Find the value of x.
R
(2x + 3)^
25°
Q
S
(3x – 17) 10
(
O

Answers

Answer:

10

Step-by-step explantion

Simplifying

2x + 3 + 25 = 3x + -17

Reorder the terms:

3 + 25 + 2x = 3x + -17

Combine like terms: 3 + 25 = 28

28 + 2x = 3x + -17

Reorder the terms:

28 + 2x = -17 + 3x

Solving

28 + 2x = -17 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

28 + 2x + -3x = -17 + 3x + -3x

Combine like terms: 2x + -3x = -1x

28 + -1x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0

28 + -1x = -17 + 0

28 + -1x = -17

Add '-28' to each side of the equation.

28 + -28 + -1x = -17 + -28

Combine like terms: 28 + -28 = 0

0 + -1x = -17 + -28

-1x = -17 + -28

Combine like terms: -17 + -28 = -45

-1x = -45

Divide each side by '-1'.

x = 45

Simplifying

x = 45

Answer:

x = 45

Step-by-step explanation:

Exterior angle is same as sum of two remote interior angles:

2x + 3 + 25 = 3x - 172x + 28 = 3x - 173x - 2x = 28 + 17x = 45

-
How many terms are in -7x2 - 14x + 2 ?

Answers

Answer:

3

Step-by-step explanation:

7x² is the first term,

14x is the second term and

2 is the third term.

Answer: 3

Explanation:
-7x2 first term
-14x second
2 third

What is the difference between-4 and 62
-10
-2
2
10

Answers

Answer:

-10

Step-by-step explanation:

if negative meets a negative its gone come out as a positive

Sedi LUPICS
Learning
Diagnostic
Analytics
A factory makes 7,000 breath mints per day. How many breath mints will the factory make in
3 days?
breath mints
Submit
I don't know this

Answers

Answer:

233.3

Step-by-step explanation:

7000 divided by 3 = 233.3

Hey Guys, Please help me I decided to lesson the questions

Answers

Answer:

Step-by-step explanation:

im pretty sure its the 1st one

What is the slope of the line in the graph?​

Answers

Answer:

[tex] \frac{ - 2 - 1}{4 - 0} \\ \\ \frac{ - 3}{4} \\ \\ \frac{3}{ - 4} [/tex]

Translate and solve: 3884.4 is what percent of 46.8?

Answers

Answer:

3884.4 is what percent of 46.8 is 8300

53 fl oz = c

A. 6
B. 6 5/8
C. 13 1/4
D. 424

Answers

Answer:

Option B

Step-by-step explanation:

Given the following question:

53 oz = c?
[tex]1c=8oz[/tex]
[tex]53\div8=6.625[/tex]
[tex]6.625=\frac{6625}{1000}\div125=\frac{53}{8}[/tex]
[tex]\frac{53}{8} =53\div8=6\frac{5}{8}[/tex]
[tex]=6\frac{5}{8}[/tex]

Your answer is option B or "6 5/8 cups."

Hope this helps

There are 17 female students in a chemistry class. If the class is 54.84% female, how
students are in the chemistry class?
many total students are in the chemistry class?

Answers

Answer:

there are 14 boys and 31 total students in chemistry class.

explanation:

total number of students: 100%

total number of students:

[tex]\frac{17}{54.84} * 100[/tex]31 students total.

Boys in the class:

100% - 54.84%45.16%

Boys total:

31 * 45.16%14 boy students.

There are 14 boys and 31 total students in the chemistry class.

It is given that there are 17 female students which is also equal to 54.84 % of total students in chemistry class.

We have to find the total number of students and number of boys in chemistry class.

What will be the 50 % of 100 ?

The value will be 50.

Let's assume that total number of students be x.

∵ Number of female students ;

⇒  54.84 % of x  = 17

 ⇒ (54.84/100) × x = 17

⇒ x = 1700 ÷ 54.84

x = 31 (approximate)

So, the total number of students in chemistry class are 31.

&

Number of boys = 31 - 17 = 14

Thus , there are 14 boys and 31 total students in the chemistry class.

To learn more about percentage click here ;

https://brainly.com/question/24304697

#SPJ2

1
Enter the correct answer in the box
Rewrite this logarithmic equation as an exponential equation
log, 18 = 3

Answers

Answer:

[tex]18=2^x[/tex]

Step-by-step explanation:

[tex]log_2(18)=x\\\\2^{log_2(18)}=2^x\\\\18=2^x[/tex]

please check this. I suck at math. ​

Answers

Problem 1

You have the correct y value, but it refers to pizzas (not salads).

If you need to convert to a mixed number, then follow these steps.

27.2 = 27 + 0.2

27.2 = 27 + 1/5

27.2 = 27 & 1/5

27.2 pizzas is the same as 27 & 1/5 pizzas. In other words, you have 27 whole pizzas plus 1/5 of an extra one.

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

Problem 2

This is correct.

The decimal 1.75 converts to the mixed number 1 & 3/4 because of the steps below.

1.75 = 1 + 0.75

1.75 = 1 + 3/4

1.75 = 1 & 3/4

In my opinion, it is optional to convert to a mixed number for either problem 1 or problem 2. So you can stick with 1.75 as the answer if you want.

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

Problem 3

16 & 3/4 = 16 + 3/4 = 16 + 0.75 = 16.75

To get the unit rate, which is the cost per unit, we divide the total cost over the amount.

cost/amount = (2.89)/(16.75) = 0.1725373

which is approximate.

Round to the nearest penny to get a unit cost of $0.17 per fluid ounce, i.e. a unit cost of 17 cents per fluid ounce.

Answer: $0.17 or 17 cents

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

Problem 4

We follow the same idea as problem 3.

4 & 3/5 = 4 + 3/5 = 4 + 0.6 = 4.6

unit cost = (total cost)/(amount)

unit cost = (7.56)/(4.6)

unit cost = 1.643478 dollars approximately

unit cost = 1.64 dollars approximately

Answer: $1.64

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

Problem 5

6 & 1/2 = 6 + 1/2 = 6 + 0.5 = 6.5

Like before, we'll divide the total cost over the total amount.

unit cost = (total cost)/(amount)

unit cost = (8.22)/(6.5)

unit cost = 1.264615 dollars approximately

unit cost = 1.26 dollars approximately

Answer:  $1.26

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

Here's another way to look at the unit cost or unit rate.

Notice in problem 5 it says "cost per yard". This is the same as "cost per 1 yard" or "cost for each yard".

We can express the given info as the ratio

6.5 yards:$8.22

Now we want the "6.5 yards" to become "1 yard" to achieve the unit rate.

So we'll divide both parts by 6.5

6.5 yards:$8.22

6.5/6.5 yards:$8.22/6.5

1 yard: $1.26 approximately

For each yard, we'll spend $1.26

Problems 3 and 4 follow similar ideas. So this is why we divided the total cost over the total amount.

What is the solution to the inequality 4x>-12

Answers

Answer:

x>-3

Step-by-step explanation:

4x>-12

x>-12/4

x>-3

Please please help f(x)7x1/5+6

Answers

Answer:

third answer

Step-by-step explanation:

solve for and isolate x by moving over all other numbers to the left and then take the fifth power to make x^1/5 = to x

What is the total amount that Matthew’s bank will receive after lending him$8,000 for four years at an interest rate of 6 percent, compounded annually?

Answers

It would be $10,099.82
A=8000(1+0.06/1)^4•1

If a=-3 find the value of

Answers

Answer:

a) -6

b) -9

c) 27

Step-by-step explanation:

Since a=-3, plug in -3 for a and solve.

find the value of b and give reasoning in the image below

Answers

Answer:

b = 104°

Step-by-step explanation:

<DEA = <DAE (given)

Now,

<DEA + 142 = 180° (linear pairs)

<DEA = 180° - 142°

so, <DEA = 38°

Now,

<DEA + <DAE + b = 180° (sum of angles of triangle)

or, 38° + 38° + b = 180° (<DEA = <DAE)

or, b = 180° - 76°

so, b = 104°

A triangle has angle measurements of 146°, 24°, and 10°. What kind of triangle is it?


plsssssssssssss help
it is either 1. acute
2.obtuse
3.right

Answers

Answer:

I think its obtuse but I'm not sure

Answer:

it's obtuse because one of the angle is obtuse and other two are acute so it's obtuse angles triangle

7 A woman deposited $560 in a bank.
a The bank decided to give all its customers 4.5% interest. Calculate how much she received
in interest.
b The next year she had $720 in the bank and received $27.36 interest. What was the percentage
interest rate?

Answers

Answer:

a. 25.2

Step-by-step explanation:

Step one: 560×4.5=2,520

Step two: 2,520÷100=25.2

A tank has length 6m, breadth 5m and height 3m.Find the volume of the tank.If it is full of water, Find the volume of water in litres.​

Answers

Solution:

Given:

Volume of tank = Length x Breadth x HeightLength = 6mBreadth = 5mHeight = 3m

Let's substitute the values of Length, Breadth, and Height to obtain the volume of the tank.

Volume of tank = Length x Breadth x Height=> Volume of tank = 6 x 5 x 3=> Volume of tank = 90 m³

Now, let's convert meters into liters.

1 cubic meter = 1000 liters=> 90 m³ = 1000 x 90=> 90 m³ = 90000 liters

Hoped this helped!

The difference between 32 and 7 times a number is 2.

Answers

Answer:

x=4.285714286

Step-by-step explanation:

Let the number be x

Now we have,

[tex]32-7x=2\\\\[/tex]

→ [tex]32-2=7x\\\\[/tex]

→ [tex]30=7x\\[/tex]

→ [tex]x=\frac{30}{7} \\[/tex]

→ x=4.285714286

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