write the equation of the line that passes through points (-7,8) and (4,-5)

Answers

Answer 1

Answer:

y=-3/11x+67/11

Step-by-step explanation:

y-8=-5-8/4--7(x--7)

y-8=-3/11(x+7)

11y-88=-3x-21

11y=-3x-21+88

11y=-3x+67

y=-3/11x+67/11

Answer 2

Answer:

y = -13/11x - 3/11

Step-by-step explanation:

First, find the slope of the line using the slope formula.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-5-8}{4-(-7)}\\m=-\frac{13}{11}[/tex]

Then, use the point-slope formula and substitute the values for the variables.

[tex]y-y_1=m(x-x_1)\\y-8=-\frac{13}{11}(x-(-7))\\y-8=-\frac{13}{11}x-\frac{91}{11}\\y=-\frac{13}{11}x-\frac{3}{11}[/tex]


Related Questions

I just wanted to ask how to do the inverse operation?

Answers

Answer:

Inverse operations are operations that are opposite or “undo” each other. For example, addition undoes subtraction and division undoes multiplication.

Step-by-step explanation:

Name the place value to which each number was rounded 16.932 to 20

Answers

Hi :)

Rounded to the tenth place value.

16 to 20

Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. The place value to which 16.932 was rounded is 17.

What do you mean by nearest whole number?

Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. Usually, decimal numbers and fractions are rounded to the nearest whole number with the help of the appropriate rules.

To round 16.932 to the nearest whole number consider the tenths’ value of 16.932, which is 9 and equal or more than 5. Therefore, we have to round up the whole number part of 16.932, 16, increases by 1 to 17, and the decimal point and all digits (.932) are removed.

16.932 rounded to the nearest whole number = 17

Therefore, The table ahead contains starting numbers close to 16.932 rounded to the nearest basic counting number.

Hence, the place value to which 16.932 was rounded is 17.

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A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
1 inch : _______ feet

Answers

Answer:

640 feet

Step-by-step explanation:

8 = 320  

16 = 640

Answer:

640

Step-by-step explanation:

8:320

16: ?

8*2=16

320*2=640

Which expression is equivalent to (2 + 6i)(5 + 2i)?
A 22 + 34i
B -2 - 34i
C -2 + 34i
D -2 + 26i

Answers

Answer:

c. -2 + 34i

Step-by-step explanation:

(2 + 6i)(5 + 2i)

c. -2 + 34i

I don’t know how to divide the fraction

Answers

Step-by-step explanation:

1 7/8 ÷ 3/4 = 15/8 ÷ 3/4

= 15/8 × 4/3

= 45/24 × 32/24

= 1440/24

= 60

Answer:

-2.5 or 5/2

Step-by-step explanation:

-1 ⅞ ÷¾

=-15/8×4/3

=-60/24= -5/2 or -2.5

If 1 lb = 2 cups what does 1/2 cups equal?
PLEASE HELP

Answers

Answer:

16 ounces equals one pound or two cups. Another way to look at the equivalent is that one cup weighs eight ounces and therefore two cups equal 16 ounces and this is the same weight of one pound--16 ounces.

Step-by-step explanation:

simplify y + 5 - y - 6​

Answers

Answer:

-1

Step-by-step explanation:

Subtract the numbers: y+5-y-6

Combine like terms: y-1-y

= -1

if p(x) = 6x³ + 5x² + 7x - 5, find the coefficient of x³​

Answers

Answer:

6x

Step-by-step explanation:

because in front of x^3 there is 6x and also the qn has asked to find the coefficient of x^3

Answer:

It is 6

Step-by-step explanation:

take an example:

[tex]a {x}^{3} + {bx}^{2} + cx + d[/tex]

a, b, and c are coefficients of x³, x², and x respectively.

d is a constant.

42.3952 to the nearest thousandths

Answers

Answer:

42.395

Step-by-step explanation:

The thousandths place is the 3 number to the ride of the decimal. We will need to look at the 4th decimal place to round. Remember these rules when rounding:

5 and above round up4 and below round down

Now that we know what to do, we can round accordingly.

42.3952 → 42.395

Best of Luck!

Find the angle 0,in radians, in the given right triangle. The length of the side adjacent to 0 is 17
and the length of the side opposite is 11.

Answers

9514 1404 393

Answer:

  0.574305 radians

Step-by-step explanation:

The tangent ratio is defined as ...

  Tan = Opposite/Adjacent

  tan(θ) = 11/17

  θ = arctan(11/17) ≈ 0.574305 radians

_____

Make sure your calculator is in Radians mode.

Help please! Find the area of the shape below. (Show work)

Answers

9514 1404 393

Answer:

  292 yd²

Step-by-step explanation:

We can find the area of the remaining L shape by subtracting the area of the 21×22 rectangle at lower left from the 26×29 overall rectangle.

  shape area = (26 yd)(29 yd) -(21 yd)(22 yd) = 754 yd² -462 yd²

  shape area = 292 yd²

__

Additional comment

The area of a rectangle is the product of its length and width.

There are many ways the area of this shape can be calculated. The area can be divided into two rectangles, two trapezoids, three rectangles, and other ways.

If you cut up the given shape into smaller pieces, you will generally need to know the widths of the arms of the L. One of those is shown as 7 yd. The other is 26-21 = 5 yd.

Using the method we did, we only needed the dimensions shown on the figure.

Solve the inequality for x 17>5-4/3 x

Answers

Answer:

[tex]17 > 5 - \frac{4}{3} x \\ 17 - 5 > - \frac{4}{3} x \\ 12 > - \frac{4}{3}x \\ \frac{3 \times 12}{4} > - x \\ 9 > - x \\ multily \: by - 1then \: > \: become \: < \\ - 9 < x \\ thank \: you[/tex]

What is the volume of a cone with a height of 9.5 inches and a radius of 8 inches? Cone V = 1 3 Bh 1. Rewrite the formula for the base area: V = 1 3 πr2h
2. Substitute the values into the formula: V = 1 3 π(82)(9.5)
3.Evaluate the power:V = 1 3 π(64)(9.5)
4.Simplify using multiplication: V = 1 3 π(608)
The cone has a volume of?

Answers

Answer:

608/3

Step-by-step explanation:

I got it correct

Perform the indicated operation.
(7x + 2x2 - 6x - 4) - (2x+3x2 - 3x + 11)
(7x + 2x2 - 5x - 4) - (2x + 3x² 3x + 11) =
(Simplify your answer. Do not factor.)

Answers

Step-by-step explanation:

1st.

(7x+2×2-6x-4) - (2x+3×2-3x+11)

(7x+4-6x-4)-(2x+6-3x+11)

collect like terms

(7x-6x-4+4)-(2x-3x+11+6)

(x+0)-(-x+17)

multiply - by the bracket

x+0+x-17

collect like terms

x+x+0-17

2x-17=0

2x=17

divide both sides by the coefficient of x

2x/2=17/2

x=17/2

Express the ratio as a unit rate.

4.5 miles in 25 minutes

Answers

Answer:

10  mins

Step-by-step explanation:

This is a fraction equal to

25 minutes ÷ 2.5 4.5

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

25 minutes ÷ 2.5

2.5 4.5 ÷ 2.5

=

10 minutes

1 4.5

=

10 minutes

4.5

= 10 minutes per 4.5

What is the area of a circle whose radius is r?
What is the area of a circle whose diameter is 2x cm?


Answers

Answer:

Area of circle = πr^2

Area of circle when diameter is 2x; r=x

=πx^2

Mabel needs to order 8,742 binder clips for an upcoming conference. If the binder clips come in boxes of 47, how many boxes should Mabel order?

Answers

186 boxes. One hundred

Complete the square: x^2-8x+21=6

Please show work

Answers

Answer:

x=5 and 3

Step-by-step explanation:

x^2-8x+21=6

x^2-8x+21+16=6+16

(x-4)^2=1

(x-4)=±1, x=5 and 3

........................

12. The cost of carpeting I square meter of a floor is Rs.500. find the cost of carpeting 12 square meters of floor​

Answers

Answer: 6000

Step-by-step explanation:

1 square meter = Rs.500

500x12

= 6000

12 square meters = Rs.6000

what is f(x) = x2 + 4x in standard form

Answers

Answer:

(x) =x2+4x

x=6x+x

=6x

Step-by-step explanation:

right answer is 6x

HURRY QUICK PLEASE HELP!!
Which expression is equivalent to 10V5?
A.V500
B. V105
C. V50
D. V15

Answers

Answer:

A

Step-by-step explanation:

Answer:

Answer: A. 500

Step-by-step explanation:

[tex]10 \sqrt{5} \\ = (\sqrt{ {10}^{2} } ) \times ( \sqrt{5} ) \\ = \sqrt{100} \times \sqrt{5} \\ = \sqrt{500} [/tex]

Please help quickly as possible Thank you!​

Answers

Answer:

A)   [tex]\frac{3}{8}[/tex], [tex]\frac{2}{5}[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{7}{10}[/tex]

B) 2.53, 32.51, 514.37

Step-by-step explanation:

A)   Multiply all of them to equal 80

1/2 = 40/80  (1 x 40)  (2 x 40)

2/5 = 32/80  (2 x 16)  (5 x 16)

3/8 = 30/80  (3 x 10)   (8 x 10)

7/10 = 56/80  (7 x 8)  (10 x 8)

B) Decimals are easy  1.10 < 1.20 since one is still greater than the other.

5. A 12 sided diɛ is rolled. The set of equally
likely entene is 21 - 123 Find the probability
of rolling a number Less than 19

Answers

Answer:

Step-by-step explanation:

brainiest to whoever right

Answers

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

true or false An insurance broker is the best person to advise you on the type of insurance you need.

Answers

Answer:

that's sooooooo trued to me

how do i express x^2-3x into the form of (x-m)^2+n. I will give brainliest to correct answer

Answers

Step-by-step explanation:

let's simply do the multiplications and then compare with the original.

(x-m)² + n

right ?

or is it

[tex] {(x - m)}^{2 + n} [/tex]

let's go for the first.

x² - 2mx + m² + n = x² - 3x

-2mx + m² + n = -3x

fun there we see two things :

-2m = -3

m = 3/2

and

m² + n = 0

(3/2)² = -n

9/4 = -n

n = -9/4

so our transformed expression looks like

(x - 3/2)² - 9/4

|x-2| > square root (x)

Answers

Answer:

x = 0

Step-by-step explanation:

I. When x cant be negative value and

II. Find possible positive value

       If x = 0

           |0-2| > [tex]\sqrt{0}[/tex]

           |-2| > 0

           2 > 0 true

       

      If x = 1

           |1 - 2| > [tex]\sqrt{1}[/tex]

           | -1 | > 1

          1 > 1 false

More question or something to discuss, leave comment below

Answer:

Step-by-step explanation:

x ≥ 0 (because the square root)

[tex]|x-2| > \sqrt{x}\\\\1)\ if \ x-2 >0 \ (\ or\ x > 2):\\|x-2|=x-2\\\\x-2 > \sqrt(x) \Longrightarrow\ (x-2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x >4 \ (since\ x>2)\\\\[/tex]

[tex]2)\ if\ x-2 <0 \ (\ or\ x < 2):\\|x-2|=-(x-2)=-x+2\\\\-x+2 > \sqrt(x) \Longrightarrow\ (-x+2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x\geq 0\ and \ x\leq 1 \\[/tex]

Sol= [0, 1] ∪ ]4,+∞) ***** corrected

write the least 6 digit number which is exactly divisible by 83​

Answers

So, 100015 is the least 6-digit number exactly divisible by 83.

Answer:

100015

Step-by-step explanation:

it to a little to find it but it is true. I started at 100000 and went up by 1 until I found my answer.

Pick a bin from each row. Subtract to find how many more bottles are in the bin from the top row than the bin from the bottom row
Bin A 15 bin B 12 bin C 13
Bin D 9 binE 7 bin F 8
How do you solve this problem

Answers

Answer:

Step-by-step explanation:

The number of Bins in the first row is 16 higher than in the second row.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given first and second rows are:-

Bin A 15 bin B 12 bin C 13

Bin D 9 binE 7 bin F 8

The total number of the bins first row = Bin A + bin B + bin C

The total number of the bins first row = 15 + 12 + 13 = 40

The total number of the bins in the second row = Bin D + Bin E + Bin F

The total number of bins in the second row = 9 + 7 + 8 = 24

Therefore, the number of Bins in the first row is 16 higher than in the second row.

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I have to factorise the following

Answers

This (*) will be for multiplication
1. 5 (3m + 1)
2. 2x * (5x + y - 8)
3. 48y * (2y - x)
Hope this helps
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