3 pts What is the Slope-Intercept form of the equation of a line that passes through the point (-6, -3) and is parallel to the line y = 2x – 3? ​

Answers

Answer 1

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         What is the S.I. form of the equation that passes through (-6,3) and is parallel to y=2x-3?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

    Parallel lines have the same slope.

[tex]\bigstar[/tex] The line y=2x-3 has a slope of 2, therefore, the line parallel to it has a slope of 2.

Now let's write the equation of the new line in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with -3, m with 2, and then write -6 in lieu of x1:-

[tex]\sf{y-(-3)=2(x-(-6)}[/tex]

On simplification,

[tex]\sf{y+3=2(x+6)}[/tex]

On further simplification,

[tex]\sf{y=2x+12-3}[/tex]

Which results in:-

[tex]\sf{y=2x-9}[/tex]

▲ our slope-intercept equation

Good luck with your studies.

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


Related Questions

which congruent theorem would prove these triangles congruent ??

Answers

Answer:

It's AAS congruent theorem.

Answer:

[tex]\huge\boxed{\sf AAS\ postulate}[/tex]

Step-by-step explanation:

The two triangles have:

2 angles congruent (already marked)a side that is common in both triangles.

So, 2 angles and 1 side congruency makes it AAS postulate (Angle-Angle-Side).

[tex]\rule[225]{225}{2}[/tex]

the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data sample, how many of them were in the 75 to 80 range?

Answers

Answer:

63

Step-by-step explanation:

score 75 is one standard dev below the mean ====>to the mean  encompasses approx 34% of scores

.34 * 186 = 63

Solve 12≥2(3n+1)+22. Show your answer in the form of an inequality.​

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n ≤ − 2

Complete the equation describing how x
and y are related

Answers

Answer:

y = x + -5

Step-by-step explanation:

Solution

To complete the equation, let's take two different points and plug their x- and y-coordinates into the equation. Then, we can solve for the question mark and see if we get the same number. I'll take (1, -4) and (2, -3):

(1, -4):

-4 = 1 + b-4 - 1 = 1 + b - 1b = -5

(2, -3):

-3 = 2 + b-3 - 2 = 2 + b - 2b = -5

Thus, the equation is y = x + (-5).

what are these least to grates
1. 3.5
2. 3.715
3. 3.17
4. 3.571
5. 3.75

Answers

3. 3.17
1. 3.5
4. 3.71
2. 3.715
5. 3.75

If an event is unlikely to occur, the probability is between ____ and ____ on the probability spectrum.
if an event is very likely to occur, the probability is between _____ and _____ on the probability spectrum.
btw thank you for answering ngas lol

Answers

Answer:

Certain and likely.

what is the area in square centimeters of the isosceles trapezoid below?

Answers

[tex]\bold{ANSWER:}[/tex]
65.28 cm^2

[tex]\bold{SOLUTION:}[/tex]

What fraction is 380 lb of 400 lb?

Answers

Answer:

19/20

Step-by-step explanation:

380÷ 20= 19

400÷20= 20

Dewmini has two coconuts lands as A and B. A seller ask to have one coconut at Rs. 34. But Dewmini got Rs. 25 000 income by selling the coconuts from the land A each at Rs. 30 and the coconuts from land 8, each at Rs. 40. Income gain by land A is Rs. 5000 more than the income gain by land B. 1.By taking the number of coconuts from land A as x and the number of coconuts from land B as y, build up a pair of simultaneous equations 2. Solve them and find the number of coconuts sold by two lands separately. If coconuts sold as the way seller said, show that Dewmini can gain Rs. 500 more​

Answers

[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Volume of a rectangular prism is ~

[tex] \sf{Volume_{cuboid}= Length × Width × Height} [/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) [/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40[/tex]

So, the correct choice is B

what is the solution in the equation X +3 equals 27


A 24
B 30
C 81
D 90

Answers

x + 3 = 27
x = -3 + 27
x = 24

thus answer is A

PLEASE HURRY!!

Side A B is parallel to Side D E in the map below.

Triangle A B C. Side A B is 15 feet and side B C is 9 feet. Triangle C D E. Side C D is 6 feet and side D E is x feet.

Which proportion solves for the distance between D and E?
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction

Answers

Let's apply BPT theorem(Not necessary we can apply common ratios and similarities)

AB/BC=CE/DE

Put values

15/9=6/x

Option B

Let's solve it out

15x=54x=54)15x=18/5x=3.6

You are investing $1500 at 5.2% compounded annually. How much money will you have in 12 years?

Answers

Answer:

$2756.01  to the nearest cent.

Step-by-step explanation:

A = P(1 + r)^t     where A is the amount after t years, P = amount invested, r = rate as a decimal fraction.

So here, we have:

A = 1500(1 + 0.052)^12

= 1500 * 1.837337

= $2756.01

Use the function f(x) to answer the questions:

f(x) = 2x2 − x − 10

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answers

Answer:

Part A: (2x−5)(x+2)

Part B: (5/2,0) and (-2,0)

Part C: The graph of f(x) has both "ends" of the graph pointing upward. You can describe this as heading toward infinity.

Part D: To graph function we can use x-intercepts and "ends" to sketch.In order to graph better use one more point of parabola that you can find as the average of x-intercepts: (-2+5/2)/2 =1/4.This is just x coordinate and you need to plug in 1/4 in the f(x) and find y coordinate -10 1/8. You can use y-intercept (0,-10) as well to graph.

Step-by-step explanation:

2x^2-3x-5=y

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

(2x-5)(x+1)=0

2x-5=0

2x=5

x=2.5

x+1=0

x=-1

you have an even degree (2) and a positive coefficient (2)

therefore as x---> -∞, f(x)----> +∞

also, as x----> +∞, f(x)----> +∞

also notice that this is a parabola that opens upwards so both "ends" approach positive infinity

plot the x-intercepts, find the vertex using h=-b/2a and substituting this value into the equation to find k and make a table of values to graph the parabola unless you only want a rough sketch of the graph-you know the x-intercepts and you found the vertex using h=-b/2a

Step-by-step explanation:

Answer: hes right

Step-by-step explanation: i took the test

Some please help me , also your beautiful and handsome and smart and you matter .

Answers

Answer:

∠ 1 = 36° , ∠ 2 = 144°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180° , that is

x + 12 + 6x = 180

7x + 12 = 180 ( subtract 12 from both sides )

7x = 168 ( divide both sides by 7 )

x = 24

Then

∠ 1 = x + 12 = 24 + 12 = 36°

∠ 2 = 6x = 6 × 24 = 144°

HELP ASAP!!! PLEASE SHOW SOLUTIONS!!​

Answers

Answer:

84 ways3,780 numbers3,628,800 ways

Step-by-step explanation:

Solving :

Q1

No. of ways to choose 6 from 9 :⁹C₆ = 9! / 6! 3! 9 x 8 x 7 x 6! / 6! x 3 x 23 x 4 x 728 x 384 ways

Q2

No. of numbers with distinguishable digits :9! / 4! 2! 2!9 x 8 x 7 x 6 x 5 x 4! / 4! x 2 x 29 x 2 x 7 x 6 x 510 x 63 x 6378 x 103,780 numbers

Q3

No. of ways to arrange :10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 290 x 56 x 30 x 245040 x 7203,628,800 ways

The formula
K = 5/9 (F - 32) + 273.15 converts a Fahrenheit temperature to a Kelvin temperature. Solve the formula for F. Then find the Fahrenheit temperature for a Kelvin temperature of 310.15 K

Answers

Answer:

See below ~

Step-by-step explanation:

Solving for F

5/8 (F - 32) + 273.15 = K5/8 (F - 32) = K - 273.15F - 32 = 8/5 (K - 273.15)F = 8/5 (K - 273.15) + 32

Finding F when K = 310.15 K

F = 8/5 (310.15 - 273.15) + 32F = 1.6 (37) + 32F = 59.2 + 32F = 81.2°F

There are four people in an elevator that is about to make four stops on four different floors of the building. What is the probability that each person gets off on a different floor

Answers

The probability that each person gets off on a different floor is; 3/32

How to find the Probability?

We are told that there are 4 people on the elevator. We are also told that there are four stops on four different floors. Thus;

Total number of ways to get off on the floors = 4 * 4 * 4 * 4 = 256 ways

Now, the number of ways that each person can get off on a different floor is 4! = 24. Thus, the probability that each person gets off on a different floor is;

P(each person gets off on a different floor) = 24/256 = 3/32

Read more about Probability at; https://brainly.com/question/24756209

#SPJ1

How the
GCF
of Monomials helps to factor an expression?

Answers

A greatest common monomial factor is the largest term that goes into a list of given terms. In order to identify the greatest common monomial factor, write the prime factorization of each term, and the product of the common factors is the greatest common monomial factor.

pasagot po, thank you​

Answers

Step-by-step explanation:

6) The sum of the length of any two sides of a triangle is always equal to the third side.

Option C 3,4,7

7) The sum of the length of any two sides of a triangle is always equal to the third side.

Option B 5 units

8) The sum of the length of any two sides of a triangle is always equal to the third side.

Option D 13 units

9) The sum of the length of any two sides of a triangle is always equal to the third side.

Option A 5<x<13

USING TWO-WAY TABLES Use the two-way table (from Exercise
17) to answer the questions. Round to the nearest percent, if
necessary.

What percent of students prefer aerobic exercise?

What percent of students are male who prefer Anaerobic exercise?

Answers

What percent of students prefer aerobic excersize: 53%

88+69 /350= 0.5257 x 100

52.57 round up 53


53%

PLEASE HELP 5 POINT ASSIGNMENT (LEASE TO GREATEST PROBLEM)

Order, 1/2, 5/6, 2/3, and 3/5 from least to greatest

Answers

Answer:

1/2 < 3/5 < 2/3 < 5/6

Step-by-step explanation:

Using the given inputs:

1/2 5/6 2/3 3/5

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

1/2 5/6 2/3 3/5

15/30 25/30 20/30 18/30

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/2 3/5 2/3 5/6

15/30 < 18/30 < 20/30 < 25/30

Therefore, the sorted inputs in order from least to greatest is:

1/2 < 3/5 < 2/3 < 5/6

A particular baseball diamond is actually a square with 76-foot sides. what is the distance from home plate to second base? express the answer in simplified radical form. then find a decimal approximation.

Answers

We conclude that the distance between the home plate and the second base is 107.48 feet.

How to get the distance between the home plate and the second base?

We know that the distance will be equal to the diagonal of the square. Remember that for  a square of side length S, the diagonal is:

D = S*√2

In this case, the side length is S = 76ft, then the diagonal is:

D = 76ft*√2 = 107.48ft

From this, we conclude that the distance between the home plate and the second base is 107.48 feet.

If you want to learn more about squares:

https://brainly.com/question/24487155

#SPJ1

find the missing side of the right triangle.

Answers

Answer :

10.63

[tex] \: [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

The Base is 7

The Perpendicular 8

The Hypotenuse is x.

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}= (7) {}^{2} + (8 {)}^{2} }}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=49 +64}}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=113 }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x= \sqrt{113} }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x \approx10.63 }}} \\ [/tex]

Therefore,

The measure of the third side (x) is 10.63

#80 will give brainliest to the best answer ​!!

Answers

Answer:

x = -2/7

Step-by-step explanation:

The excluded values of the given expression are all the values of x that will make the denominator (7x + 2) = 0. This is because you cannot divide by 0...at least in algebra.

1. 7x + 2 = 0

7x = -2

x = -2/7

Therefore, x = -2/7 is the excluded value.

Answer:

3rd option

Step-by-step explanation:

[tex]\frac{14x}{7x+2}[/tex]

the denominator cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the value that x cannot be.

7x + 2 = 0 ( subtract 2 from both sides )

7x = - 2 ( divide both sides by 7 )

x = - [tex]\frac{2}{7}[/tex] ← excluded value

Your friend asks you to help him study and will pay you 5 dimes the first time you help him. You agree to help if he multiplies your payment by 5 for each study session. After 2 study sessions, you will receive 25 dimes, and after 3 study sessions, you will receive 125 dimes. how many dimes would he get for the 7th session

Answers

Answer:

78125

Step-by-step explanation:

Using the image above, what is the measure of Angle L? Round to the nearest hundredth

Answers

Answer:

you can approximate it to 61°

A cylinder has a base of 8 feet and a height of 29 ft what is its volume in cubic feet

Answers

Answer:

1457.7 cubic ft

Step-by-step explanation:

Volume of a cylinder= πr²h

where, r = radius = 8/2 = 4 ft

h = 29

Volume=  π × 4² × 29 = 1457.7 cubic ft

[tex]\rule{300}{1}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]

      A cylinder has a base of 8 feet and a height of 29 ft. What is its volume

in cubic feet (ft³)?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

We are asked to find the volume of a cylinder, which can be found using the following formula:-

    [tex]\hookrightarrow\boxed{\bold{V=\pi r^2h}}[/tex]

Where:-

V=volumer=radiush=height

Provided Information:-

r=4 ft (base = 8ft, divided by 2=4ft)h=29 ft

Solving for Volume:-

Substitute 4 in lieu of r and 29 in lieu of h:-

        ✳︎ [tex]\sf{V=\pi (4)^2(29)}[/tex]

On simplification,

    ✳︎ [tex]\sf{V=\pi (16)(29)}[/tex]

On further simplification,

   ✳︎ [tex]\sf{V=464\pi }[/tex]

Final step:-

✳︎ [tex]\sf{V\approx1,457.7\:ft^3}[/tex]

So we conclude that the volume of the given cylinder is

[tex]\ast[/tex] [tex]\sf{V\approx{1,457.7\:ft^3}}}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

come up with a scenario that models an inverse variation situation provide at least four data pairs for the situation

Answers

Best examples

Boyles law

P is inversely proportional to VP1V1=P2V

Current with resistance

I1R1=I2R2

Resistance with length of wire

R1l1=R2l2

Pressure with area

P1A1=P2A2

Need help finding the area of the shaded region

Answers

Check the picture below, the assumption being that the 6ft line is perpendicular to the 18ft line and thus making a right-triangle.

now, if we just get the whole area of the containing parallelogram and then get the area of the triangle and subtract it from that of the parallelogram's, what's leftover is the area we didn't subtract, the shadead area.

[tex]\stackrel{ \textit{\LARGE Areas}}{\stackrel{parallelogram}{(18)(10)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(18)(6)}}\implies 180~~ - ~~54\implies 126[/tex]

PLS HALP!!!
NEED TO SUBMIT IN LESS THAN 30 MINS! >.

Answers

Answer:

y int = -12

vertex = (-4,4)

Axis of Symmetry = x = -4

It has a Maximum

Opens up

Step-by-step explanation:

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