find the equation of the line that is parallel to the line Y equals 3X -6 and passes through the points (1 -8). Write the equation in point slope form

Answers

Answer 1
hello!

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

Parallel lines have the same slope.

So if the given line has a slope of 3, then the line parallel to it has the same slope (3)

Now, let's write the equation of the line in Point-Slope Form.

Remember, point-slope form looks like so:-

[tex]\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}[/tex]

Where

y₁ is the y-coordinate of the point that the line passes through

m is the slope

x₁ is the x-coordinate of the point that the line passes through

In this case,

y₁ is equal to -8

m is equal to 3

x₁ is equal to 1

Plug in the values:

[tex]\longrightarrow\sf{y-(-8)=3(x-1)}[/tex]

Simplify:

[tex]\longrightarrow\sf{y+8=3(x-1)}[/tex]

and we're done!

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

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)


Related Questions

Help me solve this please

Answers

There are 372 children, I hope my answer will be of use to you.

Please help me with complement or supplement of an angles.

Answers

Answer:

60

Step-by-step explanation:

If we look at the picture, we can see that its a right angle having a 90 degree.

We can make a equation with this as we know that m1 and m2 has to equal 90

x + y = 90

Since we know that m2 = 30 we can plug 30 for x

(30) + y = 90

Now we simply moving the 30 to the 90

y = 90 - 30

y = 60

What is the area of the following figure?
17.6 mm

Answers

Step-by-step explanation:

Area = (17.6)²mm²

=309.76 mm²

The equation to model Exponential Growth is: y=a(1+r)t y= total amount a= starting amount r= the growth rate as a decimal t= number of growth periods Question 4 A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours.

Answers

Answer:

[tex]y=30(1.5)^x[/tex]

where:

y = total amount of bacteria cellsx = number of hours

Step-by-step explanation:

Given exponential growth equation:

[tex]y=a(1+r)^t[/tex]

where:

y = total amounta = starting amount r = the growth rate as a decimal t = number of growth periods

If a sample of bacteria cells in a petri dish increases by 50% every hour, the growth rate is:

r = 50% = 0.5

If the starting amount of bacteria cells is 30 then:

a = 30

Therefore, the equation that can be used to determine the number of cells after x hours is:

[tex]y=30(1.5)^x[/tex]

where:

y = total amount of bacteria cellsx = number of hours

Please help me with this please and thank you

Answers

Answer:

12

Step-by-step explanation:

4x-3x

4*3=12

it is 12

How is the sentence "9 less than x is –1" written as an equation?

Answers

Answer:

Must not have more than ONE "=" sign in an equation like this one.

9 is less than x is -1

I will take the liberty of deleting the first "is" and then write out the expression:

9 less than x is -1, or     x-9 = -1

Add 9 to both sides to determine the value of x:  x = 8 (answer)

Step-by-step explanation:

Answer: x-9=-1

(they deleted my answer 4 some reason : /)

Step-by-step explanation:

The base of the sailboat is 9ft and the height is 15 what is the area??

Answers

A= 1/2 X base X height
a= 1/2 times 9 times 15 EQUALS TO 67.5
i hope this helps

2. Triangle ABC is rotated around the origin. If vertex A transforms from A(-8,-10) to A (8, 10), which rotation was performed on the triangle?


Answers

Answer:

A. R180 degree rotation

Step-by-step explanation:

if you think about a graph, it has four quadrants, so imagine each of the quadtrants, being an add on of 90 degrees from the one you started on, so if you started in the double negative quatrant in the bottom left, it would take two quadrants to go in a circle to get to the full positive quadrant, making this, a 180 degree rotation

Math homework pls help!!!!!

Answers

Answer:

z3 = 216      take the cube root of both sides

z = 6 cm  = the side length

Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused

Answers

Answer:

$1200

Step-by-step explanation:

5% of $3000 = $150

multiply 8 by $150 = $1200

When buyers buy less of a good, the manufacturer may reduce the ______ of the good or cut back its ____

Answers

Answer:

Price/Cost

Step-by-step explanation:

They may reduce the cost due to the lack of people buying that product, or vice versa.

Vocabulary Builder
Visualize It.......
Complete the bubble map using the review words.
Review Words
fraction
Videntity Property
of Multiplication
multiple
product
unit fraction
multiplication

Answers

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.

What is an equation?

An equation is an expression that is used to show the relationship between two or more numbers and variables.

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:

a * 1 = a

Find out more on equation at: https://brainly.com/question/2972832

Apply the distributive property to factor out the greatest common factor.
4+10=

Answers

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)

1. Three friends are at a restaurant for dinner. They decide to split the $90. 00 check equally among the three of them. A. If they decide to leave a 20% tip, what will the total bill be?

b. What will each person pay if the total bill including tip is divided by three?

Answers

Answer:

1A.)The tip would be $18, thus meaning the total will shoot up to 108$.

1B.) Divide 3 by 18, and you get $6 per person.

Step-by-step explanation:

Hope this helps!~

The total bill with the tip will be $108.00. Considering this value each person will pay $36.00

Percentage

The percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: [tex]\frac{20}{100}=\frac{1}{5}=0.2*100=20\%[/tex]

The question gives:

3 friendstotal bill without the tip - $90.0020% tip

Letter A

For solving this item you should sum the value of the total bill without the tip with the value equivalent to a 20% tip.

Tip=[tex]\frac{20*90}{100} =\frac{1800}{100}=18[/tex]

Total bill= 18+90=108

Letter B

For solving this item you should divide the value of the total bill with the tip by 3 (friends).

Individual Payment= 108/3 = 36

Read more about the percentage here:

brainly.com/question/24304697

Solve for x
7x – 1= 2x + 3
Give your answer as a fraction in its simplest form.

Answers

Answer:

x = 4/5.

Step-by-step explanation:

7x - 1 = 2x + 3

Move one to the other side.

7x = 2x + 4

Subtract the 2x to the other side

5x = 4

Divide both sides by 5

x = 4/5.

Answer:

x = 0.8

Step-by-step explanation:

To find x, we need to isolate the constants on one side and the variables on the other. Simply subtract 2x both sides and add 1 both sides.

⇒ [tex]7x - 1= 2x + 3[/tex]

⇒ [tex]7x - 1 - 2x + 1 = 2x + 3 + 1 - 2x[/tex]

⇒ [tex]5x = 2x + 3 + 1 - 2x[/tex]

⇒ [tex]5x = 3 + 1[/tex]

Now, simplify the RHS.

⇒ [tex]5x = 3 + 1[/tex]

⇒ [tex]5x = 4[/tex]

Finally, divide 5 both sides to isolate the x variable.

⇒ [tex]\frac{5x}{5} = \frac{4}{5}[/tex]

⇒ [tex]x = \frac{4}{5} = 0.8[/tex]

A rectangular field is 120 meters long and 85 meters wide.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.

Answers

Answer:

Length: 200

Width: 5

Step-by-step explanation:

The perimeter of 120 and 85 is 410

The perimeter of 200 and 5 is 410

The area of 200 and 5 is 200 times 5 which is 1000

The area of 120 and 85 is 120 times 85 is 10200

-I hope this helps

Jennifer has $65 to spend on pants and shirts. She buys a pair of pants for $25 and buys shirts that cost $11 each. What is the greatest number of shirts Jennifer can buy? Enter your answer in the box.

Answers

Answer:

3 pairs of shirts and one pair of pants

Step-by-step explanation:

$65-$25(for pants)=$40

$40/$11(how much one shirt cost)=3

what is the range of the exponential function y=2^x plus 2?



A. Y<0
B. Y<-1
C. Y<-2
D. Y<-1 (Less than or equal to)

Answers

It’s A
Explanation: because it’s A

A swimmer speeds up 1.9 m/s to 3.8 m/s during the last 11.0 seconds of the race. What is the acceleration of the swimmer?

Answers

Given :-

Initial speed (v) = 1.9m/s

Final speed (u) = 3.8m/s

Time (t) = 11 s

Formula Used :-

[tex]v = u + a×t [/tex](a = acceleration)

➾ [tex]a = {\frac{u-v}{t}}[/tex]

Solution:-

[tex]a = {\frac{u-v}{t}}[/tex] (putting the value of v, u and t from above)

➾ [tex]a = {\frac{3.8-1.9}{11}}[/tex]

➾ [tex]a = {\frac{1.9}{11}}[/tex]

➾ [tex]a = 0.17 m/s (approx.)[/tex]

Therefore, the acceleration rate = 0.17m/s.

I will mark the right answer brainliest

Answers

Answer:

∠TAN = 36°

Explanation:

The figure shows an isoceles triangle.

An isoceles triangle has two equal sides and equal angle measure.

The total interior angle of a triangle sum ups to 180°

∠TAN = ∠TNA

=========

∠TAN + ∠TNA + ∠ATN = 180°2∠TAN = 180° - 108°2∠TAN = 72°∠TAN = 36°

Answer:

B

Step-by-step explanation:

the sides of a regular pentagon are congruent , then

AT = NT and so Δ TAN is isosceles with base angles congruent , so

∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B

I Don’t get this, someone help!!

Answers

Step-by-step explanation:

4)For answer of no 4

the third side can be gotten by pythagoras theorem;

It says,

hyp^2=opp^2 + adj^2

hyp= ?

opp=30

adj=40

so,

hyp^2=30^2 + 40^2

hyp^2=900+1600

hyp^2=2500

square rooting both sides,

hyp=50ft

Therefore the missing side is 50ft

5) for number 5

opp is missing

remember,

hyp^2=opp^2+adj^2

opp^2= hyp^2-adj^2

opp^2=41^2-40^2

opp^2=1681-1600

opp^2=81

square rooting both sides,

0pp=9Inches

I need help please, WILL GIVE brainliest !!!

Answers

Answer:

Statements #1:  <L (congruent sign) <I

Statements #2: <H (congruent sign) <K

Statements #3: GH (congruent sign) MK

Reasons #2: given

Reasons #3: given

Reasons #4: angle angle side

Weir and Max put $75 in quarters and dimes in the box. There were 400 more dimes than quarters. How many coins of each type were there

Answers

Answer:

100 quarters = 2500 cents = $25

500 dimes = 5000 cents = $50

total = $75

Step-by-step explanation:

it is 3 kilometers from Linda's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.

Answers

Answer:

1km=1000m... thats basically the answer so the nearest mail box is 3000M

Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).

Answers

The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

What is factored form?

The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.

We need to write the given expression [tex]9x^4y-6x^3y^2 + 3x^2y^3[/tex] in the factored form, therefore, we will take the common terms out of the given expression,

1. Taking 3 as the common term, we will get,

[tex]9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)[/tex]

2. Taking as the common term

[tex]= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\[/tex]

3. Taking y as the common term,

[tex]= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\[/tex]

Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

Learn more about Factored Form:

https://brainly.com/question/25094938

5x+3y-11
What’s the answer ?.

Answers

Answer:

x=3y/5 + 11/5

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable

x

Brian is the coach of the High School basketball team in Scooterville. His starting five players (Jason, Mike, Jim, Dave, and Frank) all vary in their speed, height, and shooting ability. Use the following information to answer the question(s).

- Mike and Jim are quicker and better shooters than Jason and Dave.

- No person is the best (e. G. , tallest, quickest, best shooter) at more than one category.

- One person was the worst (eg, shortest, slowest, and worst shooter) for all three categories

- Jason is the third tallest.

- Frank is the best shooter

- Jim is the second fastest.

- Jim is a better shooter than Mike.

Which player is the tallest?

Answers

From the given information, the tallest player is: Dave.

Who is a player?

In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.

We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.

Learn more about sports on https://brainly.com/question/3951300

A bag contains 20 marbles: 5 blue, 8 green and 7 orange.Find the
probability of drawing a blue marble.

Answers

Answer: 25%

Step-by-step explanation: the probability of drawing blue=5/20

divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)

can someone help me with this question

Answers

Answer:

B

Step-by-step explanation:

Convert from mixed numbers to improper fractions:

[tex]\sf area=90 \frac{3}{10}=\dfrac{90 \cdot 10+3}{10}=\dfrac{903}{10}[/tex]

[tex]\sf length=10\frac12=\dfrac{10 \cdot 2+1}{2}=\dfrac{21}{2}[/tex]

Area of a rectangle = length x width

⇒ width = area ÷ length

[tex]\sf \implies width=\dfrac{903}{10} \div \dfrac{21}{2}[/tex]

[tex]\sf \implies width=\dfrac{903}{10} \times \dfrac{2}{21}[/tex]

[tex]\sf \implies width=\dfrac{1806}{210}[/tex]

[tex]\sf \implies width=\dfrac{1806 \div 42}{210 \div 42}[/tex]

[tex]\sf \implies width=\dfrac{43}{5}[/tex]

[tex]\sf \implies width=8\frac35[/tex]

[tex] \pink{ \text{Given:}}[/tex]

[tex] \\ [/tex]

[tex] \star \sf{}Area =90 \dfrac{3}{10} [/tex]

[tex] \\ [/tex]

[tex] \star \sf{}Length =10 \dfrac{1}{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \purple{ \text{To~Find:}}[/tex]

[tex] \\ \\ [/tex]

[tex] \star \sf Width \: of \: rectangle[/tex]

[tex] \\ \\ [/tex]

[tex] \orange{ \text{Solution:}}[/tex]

[tex] \\ \\ [/tex]

So first convert length and area from fraction form to decible.

[tex] \leadsto\sf{}Area =90 \dfrac{3}{10} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Area = \dfrac{903}{10} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Area =90.3[/tex]

[tex] \\ [/tex]

Now convert value length into decibel .

[tex] \\ [/tex]

[tex] \leadsto\sf{}Length =10 \dfrac{1}{2} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Length = \dfrac{21}{2} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Length = 10.5[/tex]

[tex] \\ [/tex]

We know :-

[tex]\bigstar\boxed{\rm Area~of~rectangle= length \times width}[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \\ [/tex]

[tex]: \implies\sf Area~of~rectangle= length \times width \\ \\ \\ : \implies\sf 90.3= 10.5 \times width \\ \\ \\: \implies\sf 90.3 \div 10.5=width \\ \\ \\: \implies\sf \dfrac{ 90.3}{10.5}=width \\ \\ \\: \implies\sf \dfrac{ 90 \cancel.3}{10 \cancel.5}=width \\ \\ \\: \implies\sf \dfrac{ 903}{105}=width \\ \\ \\: \implies\sf width = \dfrac{ 903}{105} \\ \\ \\: \implies \underline{\boxed{\sf width = 8.6}} \pink\bigstar[/tex]

[tex]\\\\\\[/tex]

Know More:

[tex]\begin{lgathered}\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\end{lgathered}[/tex]

What is the area and perimeter? Show your work

Answers

Answer:

area = 6

perimeter = 12

Step-by-step explanation:

area:

1.8+3.2 = 5

5*2.4 = 12

12/2 = 6

perimeter:

3+4+1.8+3.2 = 12

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