The equation of the line that goes through the points ( − 3 , − 9 ) and ( − 6 , − 3 ) can be written in the form y = m x + b

Answers

Answer 1

Answer:

[tex]y=-2x-15[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex].

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] which is the difference between the y-coordinates divided by the difference between the x-coordinates.

So: [tex]\frac{dy}{dx} =\frac{-9-(-3)}{-3-(-6)} =\frac{-6}{3} =-2[/tex]. Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant [tex]b[/tex].

[tex]-9=-2(-3)+b[/tex]

[tex]b=-15[/tex] - Re-arranging to get b

Now re-write the equation as we have the constants.

[tex]y=-2x-15[/tex]


Related Questions

- 1/2 x 2 is equal to *
А. 1
В. 1/4
с. -1/4
D. -1

Answers

i believe it would be d. -1

explanation:

you just cancel the common factor which is 2

then rewrite the expression

Help please please help…….

Answers

Answer:

Choice A

Step-by-step explanation:

y-intercept = -3

double-checked on calculator

Line t is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line t is 3x-y=4. Determine and state an equation for line m.

Answers

9514 1404 393

Answer:

  line m: 3x -y = 8

Step-by-step explanation:

The dilation scale factor affects only the constant in a linear equation. The scaled lines are parallel to each other, so the slope, or ratio of coefficients, does not change.

3x -y = 4 scaled by a factor of 2 becomes 3x -y = 8.

Please help! I will give Brainliest!
Who is correct?

Answers

Answer:

Eric is correct; side must be between 4 and 16 inches

Step-by-step explanation:

triangle inequality theorem:

6 + 10 > x;    16 > x

x + 6 > 10;     x > 4

4 < x < 16

Johnny flipped a coin 450 times. His results are:

Heads: 240
Tails: 210

What is the experimental probability that the coin lands on heads?

Please help

Answers

The answer is 8/15. Hopefully this helped

The formula for the circumference, C, of a circle with given radius, r, is C = 2nr.
What is the circumference of a circle with a radius of 3 1-2 meters?
(Use 21
22
as an estimate for n.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters

Answers

Answer:

C. 22

Step-by-step explanation:

C = circumference

n (pi) = 22/7

r = 3 1 /2

Plug in the numbers for each variable.

C = 2x (22/7) x (3 1/2)

Change the mixed number inIto an improper fraction by multiplying 3 x 2 and adding the 1 which gives us 7 over 2 because 2 is our denominator  so, 3 1/2 = 7/2. It also helps to have 1 as the denominator for 2.

C = (2/1) x (22/7) x (7/2)

Lastly, just multiply the numerators across which give us 308 then multiply the denominators across which gives us 14, so then we divide 308 by 14 and get 22.

Calculate the sum. -16 + (-12) C A. 28 B. 4 C. -4 D. -28

Answers

Answer:

-28

Step-by-step explanation:

-16 +(-12)

= -16 - 12

adding both of them,

= - 28

Which Number sentence is true?​

Answers

Answer:

I took this a few days ago and if I remember correctly, it was B.

Answer:

it would be option B. I used a calculator, so I should be right.

3. Sohail needs to take a 4-day loan of $750 000 for his small business. How much interest will he need to pay if
interest is charged at 2.2% per year, simple interest?
a. $90.41
b. $542.47
d. $180.82
c. $361.64

Answers

Answer:

180.82

Step-by-step explanation:

750,000 x .022=16,500 per year

16,500/365 days =45.2055/day

45.2055 x 4 days = 180.82

Answer each question. Explain the method you chose to solve each problem. For
example, changing the percent to a fraction, changing the percent to a decimal or
inverse (switching the percent and number).
1. How long is 50% of 75 minutes?
I
2. How long is 20% of 60 minutes?
3. How long is 75% of 60 minutes?

Answers

Answer:

1. 37.5 (70*0.50)

2. 12 (60*0.20)

3. 45 (60*0.75)

Step-by-step explanation:

m * p

(percentage in decimal form)

please help me!!! i’m terrible at math. i’ll mark you brainlist

Answers

get p h o t o m a t h

HELP ASAP IXL PLZ HELP

x=1? How to find coordinates::(

Answers

Answer:

Q'(1, -5)

R'(1, 1)

S'(5, -5)

Step-by-step explanation:

Since you're reflecting deflecting across x equals to 1 ,also our Q and R Coordinates are on the line x equals to 1 so it's going to stay same only the S coordinates would change. the X value for the coordinates gonna be +ve and Y value gonna be -ve. Because after the reflection of the point the point would lie in the fourth quadrant and in the Forth quadrant Xvalue is positive and Y value is negative.

Veronica and Helga both have collections of trading cards.

Veronica has 752 trading cards.
Veronica has 16 times as many trading cards as Helga.
If Veronica and Helga put their cards together, how many cards would there be?

Answers

752 x 16 = 12032
12032 + 752 = (12785)

help, please!

A rectangle has a a perimeter of 68 ft. The length and width are scaled by a factor 1.5.

The perimeter of the resulting rectangle is ___ ft.

Answers

Answer and Step-by-step explanation:

Answer and Step-by-step explanation:

Here is the equation for finding the sides (just to show):

68 = (2L + 2W)

We multiply L and W by 2 because there are two of the lengths and 2 of the widths.

Now, we add the scale factor to the outside, but on both sides of the equation.

68 × 1.5 = 1.5(2L + 2W)

Multiply 68 by 1.5.

102 = 1.5(2L + 2W)

The answer is 102.

The perimeter of the resulting rectangle is 102 ft.

#teamtrees #WAP (Water And Plant)

Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles

Answers

Answer: 0.5

Step-by-step explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is [tex]^3C_2[/tex]

The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]

Therefore, the probability of picking 2 blue marbles

[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]

Circle the table letter below that represents a proportional relationship to this original table:

Cups of Flower Number of cookies
0.5 1 dozen
3/4 1.5 dozen
3 6 dozen

Answers:

(A)
Cups of Flower Number of cookies
1 2 dozen
1/4 0.5 dozen
1.5 3 dozen

(B)
Cups of flower Number of cookies
1 1.5 dozen
3/4 1 dozen
1.5 3 dozen

(C)
Cups of flower Number of Cookies
0.5 1 dozen
3/4 1.5 dozen
2 5 dozen

(D)
Cups of flower Number of cookies
1.5 3 dozen
3/4 0.5 dozen
4 8 dozen

Answers

Answer:

immma send you the link friend me on hereStep-by-step explanation:

John is going to make chocolate squares to sell. There are just three ingredients, chocolate, peanut butter and crisped rice, mixed in the ratio 4:2:3 respectively. A bar of chocolate weighs 200g and costs £2.50. A jar of peanut butter contains 250g and costs £1.70. A packet of crisped rice contains 300g and costs £2.00. John makes 4.5kg mixture, which he can cut 100 chocolate squares. He charges 60p for each square and sells all 100 squares. How much profit does he make

Answers

Answer:

£18.2

Step-by-step explanation:

4.5 kg = 4.5 * 1000 = 4500 g

Sharing in the ratio :

Chocolate : peanut butter : crisped rice in the ratio 4 : 2 : 3 respectively

Sum of ratio = (4 + 2 + 3) = 9

Chocolate = 4/9 * 4500 = 2000 g

Peanut butter = 2/9 * 4500 = 1000 g

Crisped rice = 3/9 * 4500 = 1500 g

1 bar of chocolate = 200 g at 2.50

2000/ 200 * 2.50 = £25.0

1 jar of peanut butter = 250 g at 1.70

1000 / 250 * 1.70 = £6.8

1 packet of crisped rice = 300g at 2

1500 / 300 * 2 = £10

Total cost of ingredients = £(25+6.8+10) = £41.8

Number of pieces of chocolate squares made = 100

Selling price per square = 60p = £0.6

Total revenue made = £0.6 * 100 = £60

Profit realized = £(60 - 41.8) = £18.2

In the first quarter of the game,the giants gained 5 yards,lost 13 yards,gained 2 yards,gained 6 yards and,unfortunately,lost 12 yards in their final play.

1.Use a number line to depict the Giants' activity in the first quarter.

2.Use addition only to illustrate the Giants' activity in the first quarter.

3.What was the net yardage for the Giants in the first quarter.

Answers

Answer:

5 + (-13) + 2 + 6 + (-12) ;

-12 yards

Step-by-step explanation:

5 yards gain = + 5

13 yard loss = - 13

2 yards gain = + 2

6 yards gain = + 6

12 yards loss = - 12

Using addition Rule :

5 + (-13) + 2 + 6 + (-12)

The net yardage :

5 - 13 + 2 + 6 - 12 = - 12

Net yardage = - 12 yards

Can someone help me with this? Please this would mean so much.

Answers

Answers:

x = angle MLN = 35 degrees

angle FLJ = 55 degrees

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

Explanation:

This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.

From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.

Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.

In short: angle FAL is 55 degrees

----------------------

Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.

Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.

It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.

----------------------

We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.

Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.

Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35

In short, angle MLN = 35 degrees

Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.

------------------------

As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...

(angle FLJ)+(angle FLM) + (angle MLN) = 180

55 + 90 + angle MLN = 180

145 + angle MLN = 180

angle MLN = 180 - 145

angle MLN = 35 degrees

The graph shows the line y= -3x - 6.
Complete the table so it includes two solutions to the equation.

Answers

Answer:

0 | -6

____

3 | -15

Step-by-step explanation:

just plug in the numbers they give u in the chart

when x = 0 -> y = -3*0-6 = -6

when y = -15 -> -15 = -3x-6 -> x = 3

The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

What is an equation of a line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.

x = 0 , y = -3 x 0-6 = -6

y = -15 -> -15 = -3 x-6 -> x = 3

Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

To know more about an equation of the line follow

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2/3 dividido 1/3

A- 2/9
B- 3
C- 2
D- 1/2

Answers

Answer:

C

2/3 dividido 1/3 = 2

Step-by-step explanation:

Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches

Answers

The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.

To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.

In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:

diagonal = √(side^2 + side^2 + side^2)

Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:

diagonal = √(7^2 + 7^2 + 7^2)

diagonal = √(49 + 49 + 49)

diagonal = √147

diagonal ≈ 12.124 inches

Therefore, the correct answer is:

12 inches

This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.

For more such questions on metal rod

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how do you find the perimeter of a half circle

Answers

Answer:

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

Step-by-step explanation: .

Answer:

πr

Step-by-step explanation:

We know the perimeter of the circle is 2πr , half the perimeter will be equal to ,

=> 2πr/2

=> πr

Hence the required answer is πr .

pls help me on number 1

Answers

Answer:

A. 25in.³

Step-by-step explanation:

Volume of a prism = area of base × height

Basic Ratio Right Triangle Trigonometry Find the missing side X and Y.

Answers

37

180-53-90
Just subtract the 2 angles you already have by 180

0.625 rounded to the nearest thousandth

Answers

Answer:

the answer is still 0.625

Step-by-step explanation:

the tenths digit is 6, the hundreds digit is 2 and the thousabds digit it 5. SInce it doesn't pass the thousands digit it's fine how it is.

The round off of 0.625 to the nearest thousandth results in 0.626.

To round 0.625 to the nearest thousandth, focus at the digit in the thousandth's place, which is the third decimal place.

In this case, the digit in the thousandth's place is 5.

Since 5 is exactly halfway between 0 and 10, we round up the previous digit, which is 2.

Therefore, rounding 0.625 to the nearest thousandth results in 0.626.

Learn more about Round off here:

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Help me please ! Please

Answers

Answer:

maybe 36

Step-by-step explanation:

3 shirts 4 pants 3 shoes it maybe 3*4*3

Divide.
(2x2 + 13x + 9) = (x + 7)

Answers

I think the right question, should be like this,

= 2x² + 13x + 9/x + 7

So, the quotient is 2x - 1 and the remainder is 16, you can find answer there in attachment.

---------------------------------------

P.S- Sorry for messing writing.

In the diagram shown on the left , three lines intersect to form a triangle . What is the value of x ?

Answers

The value of x should be 39 degrees. If not I’m sorry.

F(x) =
X+1 if x 1
-x+1 if 1 X-1 if x>3
Please help

Answers

Answer:

f ' [x] = 0

Step-by-step explanation:

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