Write the equation of the line that passes through the points (7,-6) and (0,2). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer 1

Answer:

[tex]y+6=\frac{-8}{7} (x-7)[/tex]

Step-by-step explanation:

To find the slope of the equation use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

So, [tex]\frac{-6-2}{7-0}[/tex] = [tex]\frac{-8}{7}[/tex]. Now we can use our slope and any of the two points to write in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex]. Using the point (7,-6), the formula will give [tex]y+6=\frac{-8}{7} (x-7)[/tex].

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.


Related Questions

85 7th grade students were surveyed about their favorite type of music. 40% of student stated their favorite type of music is country. What is the total number of students that did not choose country as their favorite type of music. Set up as proportion.

Answers

Answer:

45% of students did  not choose country as the favorite type of music

Step-by-step explanation:

plz give brainlest plzzz

Three roots of the polynomial equation x^4 - 4x^3 - 2x^2 + 12x + 9 = 0 are 3, -1, and -1. Explain why the forth root must be a real number. Find the forth root.

Answers

Hello,

This polynomial function has maximum 4 roots as the degree is 4

and their coefficients are all reals so if one root is a complex number, its conjugate is a root too.

As we know already 3 roots and none of them is a complex number, the fourth one is a real number

And their product is 9 = 3 * 1 * (-1) * (-3) as

[tex](x-x_1)(x-x_2)(x-x_3)(x-x_4)=x^4+...+x_1x_2x_3x_4[/tex]

(The constant term is 9, the product of the roots)

so the last root is -3

Thanks

An internal census of the salaries of animals employed by United Pets Inc. shows that the median salary for dogs is considerably lower than the median salary for cats. Further investigation shows that the median dog salary is higher than the median cat salary in every department (Accounting, Finance, Marketing, etc.) of the company. Which of the following is the most satisfactory explanation for this apparent contradiction?

a. The study is based on a small sample size, so the results are heavily affected by random sampling error.
b. Different departments tend to pay different salaries, and dogs are more likely than cats to work in higher-paying departments.
c. Different departments tend to pay different salaries, and dogs are more likely than cats to work in lower-paying departments.
d. There are many more cats than dogs employed by this company.
e. There are many more dogs than cats employed by this company.
f. There is a very small fraction of cats in each department that earns extremely high salaries compared to everyone else (for example, the chief executives).

Answers

Answer:

c. Different departments tend to pay different salaries, and dogs are more likely than cats to work in lower-paying departments.

Explanation:

The only explanation for difference in median results is that dogs take up jobs in both higher paying departments and lower paying departments while cats take up jobs in only higher paying departments only. In other words the median results for dogs when compared in general would be higher than that of the cats

What is the quotient if the dividend is 2286 and the divisor is 6

Answers

Answer:

381

Step-by-step explanation:

2,286/6=381

Good luck!

Y=-4 when x=32, find x when y=-0.375

Answers

Answer:

x = 3

Step-by-step explanation:

This can be set up as a proportion.

[tex]\frac{32}{-4} = \frac{x}{-0.375} \\[/tex]

Then, cross multiply -4x = -12. (The -12 came from multiplying 32 and -0.375). Divide both sides by -4 to get x = 3.

4.) Laura works in a furniture store. She earns $160 a week plus 6% of all sales over
$2,000. One week in January, Laura's total sales were $9,400. What were Laura's
earnings for that week?

Answers

Answer:

$724

Step-by-step explanation:

We know she makes the 6% of the 9,400, so we need to find how much that is.

To do this we calculate the following equation: 9,400 * 0.06

When we solve this, we get 564. From there we add her weekly salary (160) and get 724.

Answer:

$724

Step-by-step explanation:

You can do this one of two ways. The first way is to set up an equation.

160+0.06(9400)

160+564

724

Or you can use proportions.

[tex]\frac{x}{9400}[/tex] = [tex]\frac{6}{100}[/tex]

Cross multiply.

100x=56400

Divide by 100 on both sides.

x=564

Add 160.

564+160=724.

what do you call a polynomial that cannot be factored​

Answers

Answer:

Irreduciable Polynomial

CAN I GET BRAINLIEST ANSWER PLZ

Answer:

Irreducible polynomial

Step-by-step explanation:

In mathematics, an irreducible polynomial is, roughly speaking, a polynomial that cannot be factored into the product of two non-constant polynomials.

Hope this helps :)

A company handles an apartment building with 50 units. Experience has shown that if the rent for each of the units is $760 per month, all of the units will be filled, but 1 unit will become vacant for each $20 increase in this monthly rate. If the monthly cost of maintaining the apartment building is $12 per rented unit, what rent should be charged per month to maximize the profit?

Answers

Answer:

$100

Step-by-step explanation:

Consider rhombus G H I J with diagonals IG and HJ

Answers

Answer:

Option (1)

Step-by-step explanation:

Properties of the angles of a rhombus:

1). Diagonals are perpendicular.

2). Opposite angles are equal in measure.

3). Diagonals bisect the angles at the vertices.

Given: m∠GJH = 18°

In ΔGJH,

m∠GJH + m∠GHJ + m∠JGH = 180°

m∠GJH + m∠GJH + m∠JGH = 180° [Since, ∠GJH ≅ ∠GHJ diagonals bisect the opposite angles and opposite angles are equal in measure]

2m∠GJH + m∠JGH = 180°

2(18)° + m∠JGH = 180°

m∠JGH = 180° - 36°

             = 144°

Since, opposite angles of a rhombus are equal,

m∠JGH = m∠JIH = 144°

Option (1) will be the answer.

Solve the following equation - 2(x-8)=18-3(5x+6)

Answers

Answer:

-2(x-8)=18-3(5x+6)

-2x+16=18-15x-18

-2x+15x=18-18+16

13x=16

X=16/13

Answer:

[tex]x=-\frac{16}{13}[/tex]

Step-by-step explanation:

[tex]-2(x-8)=18-3(5x+6)[/tex]

Start by distributing [tex]-2[/tex] into [tex](x-8)[/tex], and [tex]-3[/tex] into [tex](5x+6)[/tex]:

[tex]-2x+16=18-15x-18[/tex]

Combine like terms:

[tex]-2x+16=-15x[/tex]

Subtract [tex]16[/tex] from both sides of the equation:

[tex]-2x=-15x-16[/tex]

Add [tex]15x[/tex] to both sides of the equation:

[tex]-13x=16[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]-13[/tex]:

[tex]x=-\frac{16}{13}[/tex]

can someone please help me solve this

Answers

Answer:

13.75

Step-by-step explanation:

You would multiply 2.75 by 5 and get an answer of 13.75. Hope this helps! ❤

I'm pretty sure I have these wrong but I seriously need some help!! It's also 5 and 13 needs to be solved but I couldn't get it in the screenshot!!! I need all of them solved, please!!!!

Answers

Answer:

[See Below]

Step-by-step explanation:

[tex]\boxed{Hey~~There~}[/tex]

__________________________________________________________

[tex]\boxed{Quick~Note:}[/tex]

Alternate Interior: Opposite Inside Angles. Alternate Exterior: Opposite Outside Angles. Same-Side Interior: On the same line, Inside. Same-Side Exterior: On the same line, Outside. Corresponding Angles: One on the inside and one on the outside.

[tex]\boxed{Answers:}[/tex]

1.)  [tex]<1~and~<14:[/tex]

Alternate Exterior. (They are on the same angle. Outside.)Line [tex]p[/tex].

2.)  [tex]<4~and~<10:[/tex]

Same-Side Interior. (They are on the same line. Inside.)Line [tex]r[/tex].

3.)  [tex]<6~and~<16:[/tex]

Same-Side Exterior. (They are on the same line. Outside.) Line [tex]s[/tex].

4.)  [tex]<7~and~<12:[/tex]

Corresponding. (They are on the same angle but have one on the inside and one on the outside.)Line [tex]q[/tex].

5.) [tex]<5~and~<13:[/tex]

Corresponding. (They are on the same angle but have one on the inside and one on the outside.) Line [tex]p[/tex].

__________________________________________________________

[tex]Hope~this~helps~Mate~\\-Your~Friendly~Answerer,~Shane[/tex]  ^-^

PLEASE HELP AND HURRY ;-;

Answers

cant help sorry

oh no

÷6=7 what is the answer

Answers

Answer:

42

Step-by-step explanation:

42÷6 = 7

If you want to find out on your own, you can do 6 * 7 and get 42

Town A has an elevation of -13 feet. Town B has an elevation 7 times lower. Write an equation that represents the elevation of Town B.

Answers

Answer:

-91

Step-by-step explanation:

7 x 13 is 91

Sharon’s turtle
It’s from her backyard sometime in the last few hours according to her calculations the farthest the turtle could’ve gone is four blocks down the road and other direction you’re showing lives on the 112th block of time which equation can be used to find the black numbers that represent the farthest distance the turtle maybe

Answers

Answer:

Step-by-step explanation:

4

Answer:

|x-112|=4

So it’s B.

Given that 5W = 2P + 3R find the value of P when W = 4 and R = −4

Answers

Answer:

P = 16

Step-by-step explanation:

Given

5W = 2P + 3R ← substitute W = 4 and R = - 4 into the equation

5(4) = 2P + 3(- 4), that is

20 = 2P - 12 ( add 12 to both sides )

32 = 2P ( divide both sides by 2 )

16 = P

if you could buy one bulb of elephant garlic for $2 than how amy can you buy with $8

Answers

Answer:

4

Step-by-step explanation:

2 = 1

4 = 2

6 = 3

8 = 4

8÷2=4

Calculate the peak hour volume for six-15 minute periods with the following volumes: 125, 130, 135, 140, 145, 155

Answers

Answer:

The peak hour volume is 620

Step-by-step explanation:

Here, we want to calculate the peak hour volume

To calculate the peak hour volume, we need some information

Firstly we need to know that a period of 15 minutes refer to 1/4 of an hour

So, the given volume needs to be multiplied by 4 to get the peak hour value

Now back to the values given, we need the highest of them all

As regards the question, the highest of them all is 155

So the peak hour volume here would be 155 * 4 = 620

out of 8 points the number of straight lines can be formed equal to​

Answers

Show question as a picture

If the measure of ZFGH is 64º and the measure of ZEGD is (4x+8)°, what is the value of x ?

Answers

Answer:

x = 14

Step-by-step explanation:

∠EGD = ∠FGH

(4x+8)° = 64°

4x = 64 - 8

x = 56 / 4

x = 14

PLEASE HELPP!!!

Mary is saving money for college expenses. She saves the same amount each month.
The table shows the amount of money Mary has saved after 4 and 7 months.

Answers

Answer: a, c, and d

Step-by-step explanation: hard to explain

hope this helped :)

I NEED HELP PLEASE!!

Answers

Step-by-step explanation:

angle AEB = 180° - (25°+25°) (isosceles triangle)

= 180° - 50°

= 130°

angle AEB = angle CED = 130° (vertically opp angle)

angle ECD = 25° (alternate angle)

angle CDE = 180° - (25°+130°) (angle sum of a triangle)

= 180° - 155°

= 25°

not sure but here you go^^

Consider the following equation.
3x + 5 = - 3y + 5
Step 1 of 2: Find the x-and y-intercepts, if possible.
Answer 2 Points
Keypad
Keyboard Shortcuts
Selecting a button will replace the entered answer value(s) with the button value. If the button is not selected, the
entered answer is used.
<
>
Prev
Next
x-intercept:
absent
y-intercept:
absent

Answers

Answer:

(0,0)

Step-by-step explanation:

Just look in a graphing calculator.

geometry question: look at picture!!

Answers

Answer:

it's 123 because it's on the opposite side

PLEASE HELP LAST QUESTION 5 MINUTES LEFT

Answers

Answer:

Its to small i cant see it!

Step-by-step explanation:

Which meaning of marked most closely matches its meaning in the following
excerpt?
I need such words from you far more than you can need them from me,
especially where your superior labors and devotion to the cause of the lately
enslaved of our land are known as I know them. The difference between us is
very marked. Most that I have done and suffered in the service of our cause has
been in public...
O Al adjective l having a visible mark
OB. I adjectivel clearly noticeable and evident
C. I verb I make a visible stain
OD. I verb I show the position of

Answers

Answer: a

Step-by-step explanation:

Consider the graphs of f(x) = 5 sin (2x-
x-1) - 9 and g(0) =s sin
in (2x - 5)-9.
Which feature of the graph of g(x) is different from the graph of f(x)?
the period
the amplitude
the phase shift
the vertical shift






Please help

Answers

Answer:

The phase shift

Step-by-step explanation:

Answer:

C. the phase shift

Step-by-step explanation:

edge 2020

draw a diagram to show the ratio 5:3​

Answers

Answer:

21

Step-by-step explanation:

Write 2x – 3y=8 as a function of x.

Answers

The x-intercept is the point on the line where y=0.

Put that into the equation:
2x -3(0) = 8
2x = 8
x = 4

The coordinates of the x-intercept are (4,0).



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