Mathematics Middle School

Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3. (1 point)


A) y − 6 = −3x − 3

B) y − 6 = −3(x + 1)

C) y = −3x + 3

D) 3x + y = 3

Answers

Answer 1

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We have the point (-1, 6) and the slope m = -3. Substitute:

[tex]y-6=-3(x-(-1))\\\\\boxed{y-6=-3(x+1)}\to\boxed{B)}[/tex]

Related Questions

GIVEN: ab perpendicular to BC AND DC PERPENDICULAR TO BC
AC = BD
PROVE:AB =DC

Proofs

Answers

Let's take a look at the triangles ABC and DCB

1. angles : B=C=90° because they are right triangles (AB perpendicular to BC and DC perpendicular to BC)

2. AC=BD (given)
3. BC is in common (the two triangles have it, you can say it like BC=BC)

So we proved that by SAS(side angle side), the triangles are congruent ABC= DCB

Since the triangles are congrueny, all their sides are equal so we can say that AB=DC

Answer with Step-by-step explanation:

We are given that AB is perpendicular to BC and DC perpendicular to BC.

AC=BD

We have to prove that AB=DC

In triangle ABC and triangle DCB

AC=BD  (Given)

[tex]\angle B=\angle C=90^{\circ}[/tex]

[tex]BC=BC[/tex]

Reason:Reflexive property

[tex]\triangle ABC\cong \triangle DCB[/tex]

Reason:RHL postulate

[tex]AB\cong DC[/tex]

Reason:CPCT

Therefore, AB=DC when two sides are congruent then the sides are equal.

Hence, proved.

An MP3 player can hold 350 hours of music. Each song on an MP3 player is about 2.5 minutes in lenght. Abut how many songs can the MP4 player store?

Answers

It can hold 8,400 songs.

The MP3 player can hold up to 8,400 songs. If each song is 2.5 that means 24 songs in an hour. You would times 350 by 24 which gives you 8,400.

Which statement is true?

A)
0.4 is less than 0.07 because 4 is less than 7.
Eliminate

B)
0.4 is less than 0.07 because 40 is less than 70.


C)
0.4 is greater than 0.07 because 70 is greater than 40.


D)
0.4 is greater than 0.07 because 40 is greater than 7.

Answers

D) 0.4 is greater than 0.07 because 40 is greater than 7

8) It costs a band $8 per T-shirt produced. At a small festival the band gives away 10 T-shirts, and sells others for $20 each. Their total T-shirt-related profits (taking into account those they gave away) is $304, how many T-shirts did the band sell?

Answers

if the t-shirts cost $8 to make, and the band sells them for 20$ they make a profit of $12 a shirt. 

if after the concert, their profit is 304$ then I believe the way to solve it would be 304/12 which equals 25.3
However, they did not make a profit off of the 10 shirts that they gave away. 10*12 equals 120
304-120 equals 184 
184/12 equals 15. 
Your answer should be either 25 or 15
32 T-shirts. First, let's make an expression to handle the situation. "costs $8 per T-shirt produced" p = -8n "gave away 10 T-shirts" p = -8(n+10) "sells others for $20 each." p = -8(n+10) + 20n "total T-shirt-related profits is $304" 304 = -8(n+10) + 20n Now solve for n 304 = -8(n+10) + 20n 304 = -8n - 8*10 + 20n 304 = - 80 + 12n 384 = 12n 384 = 12n 32 = n So the band sold 32 T-shirts.

In a recent year, the population of California was about 2.52 x 10^7 people. Its land area is about 4.05 x 10^5 km^2. What was the average number of people per square kilometer? Write your answer in scientific notation.
PLEASE I NEED HELP ASAP!!!!!!!!!!!!

Answers

in scientific notation it would be 1.640502 × 10^11

The average number of people per square kilometer in California is [tex]6.22 \times 10^1.[/tex]

To find the average number of people per square kilometer in California, we divide the total population by the land area.

Given:

Population of California = [tex]2.52 \times 10^7[/tex] people

Land area of California = [tex]4.05 \times 10^5 km^2[/tex]

Calculate the population density.

Population density = Population / Land area

Population density = [tex](2.52 \times 10^7) / (4.05 \times 10^5) people/km^2[/tex]

Divide the numbers and simplify.

Population density = (2.52 / 4.05) x 10^(7-5) people/km^2

Population density = [tex]0.622 \times 10^2 people/km^2[/tex]

Rewrite in scientific notation.

Population density = [tex]6.22 \times 10^1 people/km^2[/tex]

So, the average number of people per square kilometer in California is [tex]6.22 \times 10^1[/tex].

What can 16 over 49 be simplified to?

Answers

16/49 cannot be simplified anymore

it is 0.326531 in decimal form

hope this helps
16
—— = 0.32653
49

Someone please help me find this

Answers

the perimeter is.just.the.sides.added.up
6+6+20+28=60
for the area add up the area of the rectangle 20(5)=100 plus the areas of the triangles 4(5)=20

total area = 120

help me divide y over x??

Answers

x and y would be 1/1 or 1
It would also need too be simplified too 1 whole

 A hiker is walking down a mountain. She walked​ 5,978 feet in 17 minutes. In that​ time, she descended​ 1,024 feet from the top of the mountain. She then walked​ 3,972 feet in 7 minutes. In that​ time, she descended 500 more feet. Express the average rate of change in altitude of the hiker from her starting point to her ending point as a unit rate.

Answers

first walk=descend of 1024 feet in 17 minutes
second walk=descend of 500 feet in 7 minutes

so in total she descended 1024+500=1524 feet in 7+17=24 minutes
as an average rate this equals 1524/24=63.5 feet/minute descended
or an average rate of -63.5 feet/minute in altitude (note the minus)

The average rate of change in altitude of the hiker from her starting point to her ending point is -63.5 feet per minute.

The following can be deduced based on the information provided in the question:

During the first walk, she descended 1024 feet and during the second walk, she descended 500 feet. Therefore, the total will be:

= 1024 feet + 500 feet = 1524 feet

During the first walk, the time taken was 17 minutes while for the second walk, the time taken was 7 minutes. Therefore, the total time taken will be:

= 17 minutes + 7 minutes

= 24 minutes.

Therefore, the average rate will be:

= 1524 / 24

= 63.5 feet per minute

Read related link on:

https://brainly.com/question/6507833

expand and simpilify

(3x-2)^2-(x+6)(x-8)

Answers

=(3x)^2-(8+6)(x-8)
=3^22^2-(x+6)(x-8)
=9x^2-(x+6)(x-8)
=9x^2-x^2+2x+48
=8x^2+2x+48
(3x-2)^2-(x+6)(x-8)
= 9x^2 - 12x + 4 -(x^2 +6x -8x - 48)
= 9x^2 - 12x + 4 - x^2 + 2x + 48
= 8x^2 - 10x + 52

hope it helps

Is 4.25 a rational number integer or whole number??

Answers

4.25 is a rational number integer.

4.25 is a rational number

A rational number is a number that can be expressed as a fraction of two integers

Examples of rational numbers are , [tex]\frac{1}{4} \frac{2}{3}[/tex]

4.25 can be rewritten as [tex]4\frac{1}{4}[/tex]

An integer is a number without fractions or decimals

For example, integers are 2, - 1000

A whole number is a number that is a positive integer. It does not include negative numbers, fractions or decimals.

Examples are 1, 2, 10

To learn more about rational numbers, please check: brainly.com/question/15815501?referrer=searchResults

tyler can shovel the driveway in 2 hours. dakota can complete the job in 90 minutes. if they work together, how long will it take

Answers

it would take 1minute and 10 seconds to complete the job because you have to subtract 2hours (2:00) by 90seconds (0:90)

If a player always gets three cards, describe two different ways to recieve a score of 7.

Answers

Answer:

1 + 3 + 3 = 7

5 + 1 + 1 = 7

Step-by-step explanation:

If a player have the three cards. Each card will have a number and we have to find the numbers on each card that total 7.

Let card 1 gets 1

Then other two cards may have 3 and 3

So, 1 + 3 + 3 = 7

Now we take another combination which totals 7

5 + 1 + 1 = 7

Therefore, there may be two different ways are

1 + 3 + 3 = 7

5 + 1 + 1 = 7

what is the momentum of a 20-kg dog running at a speed of 8 m/s

Answers

The momentum of a 20 kilogram dog running at a speed of 8 meters per second is 160 
P=mv
=(160 kg m/s)
Final answer:

The momentum of a 20-kg dog running at a speed of 8 m/s is 160 kg.m/s. This is calculated using the formula for momentum, which is the product of mass and velocity.

Explanation:

To calculate the momentum of an object, you need to multiply its mass by its velocity. This is due to the fact that momentum is directly proportional to the object's mass and its velocity. Hence, a 20-kg dog running at a speed of 8 m/s would have a momentum of 160 kg.m/s.

Momentum (p) is represented as the product of mass (m) and velocity (v), hence expressed as p = m*v. Momentum is a vector quantity, which means it has both magnitude (amount) and direction. In this case, we're only concerned with its magnitude.

So, for the 20-kg dog running at 8 m/s, we substitute these values into the momentum formula to find its momentum:

p = m*vp = 20kg * 8 m/sp = 160 kg.m/s

Learn more about Momentum here:

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Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) =1/3 . What is P(X) written as a decimal?

Answers

P(Y) = 5/6
Since they are independent, P(X & Y) = P(Y) * P(X)
Therefore:
1/3 = 5/6 * P(X)     Change 1/3 to 2/6, then multiply both sides by 6/5
2/6 * 6/5 = P(X)    
2/5 = P(X)
Written as a decimal, P(X) = .40 

What is 763 thousandths in scientific notation?

Answers

7.63 ^-10!!!!!!!!!!!!!!!!!!!!!!!!

Danielle has a CD at crossland bank. she invest $22,350 for four years at 4.55% interest. compounded monthly. What is her ending balance? How much interest did she make?

Answers

$22,350 x 4.55% = $1,016.925 (interest per year)

$1,016.925 x 4 = $4,067.70 (amount of interest earned over 4 years)

$22,350 + $4,067.7 = $26,417.70 (ending balance)

Answer: Her ending balance is $26,703.837 and her interest is $4,353.837

Step-by-step explanation:

First year,

p =22350 R = 4.55 T = 1

Interest = PRT/100

= 22350 × 4.55 × 1 / 100

=$1016.925

P = $22350 + $1016.925 = $23366.925

For the 2nd year,

I = $23366.925 × 4.55 × 1 / 100

=$1063.195

p= $23366.925 + $1063.195 = $24,430.12

For the 3rd year,

I = $24,430.12 × 4.55 × 1 / 100

= $1111.57

p = $24,430.12 + $1111.57 = $25,541.68

For the 4th year;

I = $25541.68 × 4.55 × 1 / 100

= $1,162.147

P = $ 25541.69 + $1,162.147 = $26,703.837

Therefore th ending balance is $26,703.837

Her compound interest is , $26,703.837 - $22350 =$4,353.837

$6,285÷y=700 y is about

Answers

y is about 8 or 9





hope i help
The answer is about 8 or 9

Which expression is equivalent to −2.6+(−2.9)+(−7.1) ?

Answers

−2.6−2.9+7.1

=−5.5+7.1

=1.6


Answer:

-12.6

Step-by-step explanation:

To evaluate the given expression

-2.6+(−2.9)+(−7.1, first we will open out the brackets and multiply the signs. Before that, we must take note of the following sign operations

-×- = +

-×+ = -

+×- = -

+×+ = +

The equation above becomes;

-2.6-2.9-7.1 (all the signs are now minus since the product of plus and minus sign gives a minus sign)

(-2.6-2.9)-7.1

= -5.5-7.1

= -12.6

Since all the values in the equation are negative values, our resulting answer will be a negative value.

The table shows the distances and times that four rowboats traveled. Which rowboat was the fastest?

Answers

you must add a table for this to be answered

Answer:

Rowboat C traveled the fastest.

Step-by-step explanation:

Hope this helps and please mark Brainliest!

PLEASE YOU CAN ANSWER NUMBER 1 OR 2 OR BOTH PLEASE I JUST NEED HELP WITH BOTH AND NO ONE WILL ANSWER MY QUESTIONS!!!!!!!! :(

1.)In two or more complete sentences, explain how to find the time it takes for a rocket following the path, h(x) = -4x 2 + 16x, to hit the ground.

2.)A ball is thrown straight up from the top of a building that is 280ft high with an initial velocity of 48ft/s. The height of the object can be modeled by the equation s(t) = -16t 2 + 48t + 280.
In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation.

Answers

1.) You plug a number into the variable x. Then you will solve the equation for h(x) to find the time it takes for the rocket to travel the path given.


Answer:

Step-by-step explanation:

Given that a rocket path is given by

[tex]h(x) = -4x^2 + 16x[/tex]

When it hits the ground h(x) =0

Hence we get

[tex]-4x^2 + 16x=0\\x=0, 4[/tex]

i.e. after 4 minutes the rocket hits the ground

2) Given that

[tex]s(t) = -16t^2 + 48t + 280.[/tex]

We have to find time t when height >280

[tex]s(t) = -16t^2 + 48t + 280>280\\\\t=0, 3[/tex]

Between 0 and 3 seconds the object would be above the building.

Are the expressions below equivalent 3(4x+8) 12x+24

Answers

yes they are equivalent
Yes they are correct . 3*4 =12 and 3*8=24

what is the solotion to the equation 1/3(3+2x) -1=10

Answers

SOLVING:

[tex] \dfrac{1}{3}(3+2x)-1=10\\ \\ \dfrac{3}{3}+ \dfrac{2x}{3}-1=10\\ \\1+ \dfrac{2x}{3}-1=10\\ \\ \dfrac{2x}{3}=10\\ \\2x=3(10)\\ \\2x=30\\ \\x= \dfrac{30}{2}\\ \\x=\boxed{ \boxed{15}}\ ===>\ The\ great\ answer.[/tex]

TESTING:
[tex] \dfrac{1}{3}(3+2(15))-1=10\\ \\ \dfrac{1}{3}(3+30)-1=10\\ \\ \dfrac{1}{3}(33)-1=10\\ \\ \dfrac{33}{3}-1=10\\ \\11-1=10\\ \\\boxed{10}=\boxed{10}\quad\checkmark\ Correct.[/tex]
GOOD LUCK...!!!

a group of 4 people go out to eat. they decide to split the bill so each person pays 1/4 of the total price. appetizers are $6 and main dishes are $9. write an expression to show how many each person pays.

Answers

Assuming y is the price each person pays and each person gets and appetizer and a main dish...

y = ($9 + $6) × 4 people × 1/4
y = ($15) × 4 × 1/4
y = $60 × 1/4
y = $15 each

The bus driver made 6 stops on his way into town. No passengers exited the bus. By stop 3, there were 9 passengers on the bus. This graph shows this information.

How many stops did it take to have 13 passengers on the bus?

A:2

B:3

C:4

D:5

Answers

C: 4 stops . You can tell this by reading the graph, find where 13 is on the y-axis (the left side going up) to find number of passengers and then go across to find how many stops for 13 passengers. In this case you have to read whats not on the graph and realize that 13 passengers is between the 12 and 16 points, a quarter of the way up

The number of bus stops is 4 if the bus driver made 6 stops on his way into town option (C) 4 is correct.

What is a dot plot?

A dot plot also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.

It is given that:

The bus driver made 6 stops on his way into town. No passengers exited the bus. By stop 3, there were 9 passengers on the bus

The graph is shown in the picture.

The x-axis represents the bus stops  

The y-axis represents the number of passengers

From the graph point to the 13 on the y-axis and locate the related value of x on the x-axis.

The number of bus stops corresponds to 13 = 4

Thus, the number of bus stops is 4 if the bus driver made 6 stops on his way into town option (C) 4 is correct.

Learn more about the dot plot here:

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Which graph represents the solution set of the system of inequalities?

{3y≤2x+62x+y>0

Answers

The graph representing the solution set of the system of inequalities is attached.

we have

[tex]3y\leq 2x+6[/tex] ---> inequality A

[tex]2x+y > 0[/tex] ---> inequality B

using a graphing tool

see the attached figure

The solution is the shaded area

the answer in the attached figure


What is 156.16 divided by 8

Answers

The answer is:19.52.

Hopefully this has helped! :)
 The answer is 19.52. You can show your work by using long division

Rita ran 5 miles in 48 minutes .What was her time per mile?

Answers

Her time per mile is 9 min 60sec.

I figured this out by dividing 48 by 5.

I hope this helped! :))

A spinner is separated into 3 equal pieces, as shown below: A spinner is shown with three colors, red, yellow, and purple, marked on it. The arrow points towards the red color. Mary spins the spinner 6 times. What is the theoretical probability that it stops on the red sector on the last spin?

Answers

The chances of spinning on red is 1/3 all the time, because it's separated into 3 colors.
If he spins it six times, 6/20 is the chance he will spin red. Which that lowers to 1/3.

The theoretical probability that it stops on the red sector on the last spin is 1 by 3.

Calculation of the  theoretical probability:

Since A spinner is separated into 3 equal pieces. A spinner is shown with three colors, red, yellow, and purple, marked on it. Mary spins the spinner 6 times.

So, the theoretical probability is

Probability= Successful outcome ÷ Possible outcome

= 1÷3

Therefore, The theoretical probability that it stops on the red sector on the last spin is 1 by 3.

Learn more about probability here: https://brainly.com/question/24442276

During Tracy’s trip across the country , she traveled 2884 miles . Her trip took

Answers

it could have took a day or a million. there isn't enough info
there isn't enough info for us to answer
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