rewrite the following linear equation in general form​

Rewrite The Following Linear Equation In General Form

Answers

Answer 1

Given:

The linear equation is:

[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]

To find:

The general form of the given linear equation.

Solution:

The general form of a line is equation is:

[tex]Ax+By=C[/tex]

We have,

[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]

Multiply both sides by 2.

[tex]2(y+6)=-5(x+4)[/tex]

[tex]2(y)+2(6)=-5(x)-5(4)[/tex]

[tex]2y+12=-5x-20[/tex]

Isolating variable terms, we get

[tex]2y+5x=-20-12[/tex]

[tex]5x+2y=-32[/tex]

Therefore, the general form of the given linear equation is [tex]5x+2y=-32[/tex].


Related Questions

Find the distance between two points (0, 3) and (-1,3).

Answers

Answer:

5

Step-by-step explanation: i used a calculator and it said 5.099 but just round it up to 5

Answer:

1

Step-by-step explanation:

even if it is going back-wards, it is still one, think of it as absolute value

also again, if brainly tries to delete this answer, this community really is going down the dump

Which value of a would make the following expression completely factored?

x²-a

A.12
B.36
C.49
D.81

Answers

Answer:

The answer is 12.               

12 is not a perfect square like the others.      

Which of the following is an equation of the line that passes through the point (1, 1) and has a slope of 2?

Answers

Answer:

You didn't provide " the following" from which to choose.

Here are two solutions

y = 2x - 1

y - 1 = 2(x - 1)

D 51° F E 17 m Find the length DE. O 10.7 m O 13.2 m O 13.8 m 0 21.0 m O 21.9 m 0 27.0 m​

Answers

D 51 is correct that is the correct anwser

Need help on this question asap please

Answers

Answer:

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

Step-by-step explanation:

A proportion is setting two ratios to be equal to each other.

You are given the price of 1 ticket, so you can set up a ratio of price to ticket.

$6.25 to 1 ticket, or [tex] \dfrac{6.25}{1} [/tex]

The other ratio involves the $25 and the unknown number of tickets, t, $25 can buy.

$25 to t tickets, or [tex] \dfrac{25}{t} [/tex]

To write a proportion, set the two ratios equal.

[tex] \dfrac{6.25}{1} = \dfrac{25}{t} [/tex]

This proportion does not appear in the choices.

Take the reciprocal of both sides.

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

A chemistry examination has 2 sections.
Section A has 80 marks.
Section B has 60 marks.
Alex scores 55% in Section A.
What is the greatest percentage Alex can now get in the whole examination?
Give your answer to 3 significant figures.​

Answers

Answer:

65%in a whole examination

The sum of squares of two
numbers is 80 and the square of
difference between the two numbers
is 36. Find the product of two
numbers .

Answers

Answer:

the product of the 2 numbers is 22

Step-by-step explanation:

x² + y² = 80

(x - y)² = 36

=>

x - y = 6

or y - x = 6

let's start with the first one x-y=6

x = 6 + y

=>

(6+y)² + y² = 80

y² + 6y +6y + 36 + y² = 80

2y² + 12y + 36 = 80

2y² + 12y - 44 = 0

y² + 6y - 22 = 0

the solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here we have an squadron in y.

a=1

b=6

c=-22

(-6 ± sqrt(36 + 4×22))/2 = (-6 ± sqrt(36+88))/2 =

= (-6 ± sqrt(124))/2 = (-6 ± sqrt(4×31))/2 =

= (-6 ± 2×sqrt(31))/2 = -3 ± sqrt(31)

y1 = -3 + sqrt(31)

y2 = -3 - sqrt(31)

=>

x1 = 6 + -3 + sqrt(31) = 3 + sqrt(31)

x2 = 3 - sqrt(31)

control :

(-3 + sqrt(31))² + (3 + sqrt(31))² = 80

9 - 3 sqrt(31) - 3 sqrt(31) + 31 + 9 +3 sqrt(31) + 3 sqrt(31) + 31 = 80

9 + 31 + 9 +31 = 80

18 + 62 = 80

80 = 80 correct

solving now for y-x=6

delivers exactly the same calculations, just with x and y trading places.

so, the resulting 2 number pairs are the same.

the product of the 2 numbers :

(3 + sqrt(31))(-3 + sqrt(31)) = -9 - 3 sqrt(31) + 3 sqrt(31) + 31 =

= -9 + 31 = 22

(3 - sqrt(31))(-3 - sqrt(31)) = -9 + 3 sqrt(31) - 3 sqrt(31) + 31 =

= 22

so, the product is the same in both cases.

BASE
-10
109
Which expression is equivalent to X X
-(
WN
?
No
O
WIN

Answers

Answer:

[tex]\displaystyle x^{\frac{2}{3}}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Exponential Rule [Multiplying]:                                                                        [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Powering]:                                                                           [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}[/tex]

Step 2: Simplify

Exponential Rule [Multiplying]:                                                                        [tex]\displaystyle (x^{\frac{4}{3} + \frac{2}{3}})^{\frac{1}{3}}[/tex][Exponents] Add:                                                                                              [tex]\displaystyle (x^{2})^{\frac{1}{3}}[/tex]Exponential Rule [Powering]:                                                                           [tex]\displaystyle x^{2 \cdot \frac{1}{3}}[/tex][Exponents] Multiply:                                                                                         [tex]\displaystyle x^{\frac{2}{3}}[/tex]

A line goes through the point (6,-2) and has a slope of -3. What is the value of a if the point (a,7) lies on the line? a= ?​

Answers

m=y2-y1/x2-x1

7-(-2)/a-6=-3

9/a-6=-3

9=3a-18

3a=162

a=54

Which of the following is a foci of x^2/16-y^2/4=1

Answers

Answer:

x(8;2)

Step-by-step explanation:

i think that  

URGENT!!
Choose the steepest line.
y = -2x + 10
y = 5x - 20
y = 10x + 1
y = -12x - 3

Answers

Answer:

y=-12x-x

Step-by-step explanation:

y=mx + b

m=slope

m = -12

slope = rise / run -12/1

plz help i beg PLZZZZZZ NO SKIPPP

Answers

Answer:

C

8×3=24

so the answer is c

Correct answer to your question is 3 bc 8x3=24

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 145 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse? *

Answers

Answer:

1657.14 ft

Step-by-step explanation:

Tan = opposite / adjacent

tan 5 = 145 / adjacent

0.0875 =  145 / adjacent

adjacent = 145 / 0.0875

= 1657.14 ft

Point O is the center of the circle.

Circle O is shown. Tangents D C and B C intersect at point C outside of the circle. Lines are drawn from points D and point B to center point O to form a quadrilateral. A line is drawn from point C to point A on the opposite side of the circle. The length of O D is 6, and the length of B C is 8. Angles D and B are right angles.

What is the perimeter of quadrilateral DOBC?

14 units
16 units
22 units
28 units

Answers

Answer:

28

Step-by-step explanation:

Answer:

its 25 yall !

Step-by-step explanation:

The diagram shows a right angled triangle.
Find the size of angle x
Give your answer correct to 1 decimal place

Answers

Ans:40.8°

Step-by-step explanation:

sin(x)=17/26

x<π/2

x=0.7126... or 2.4289...

But x=2.4289...>π/2

So only 0.7126... meets

(0.7126.../π)*180°≈40.8°

so the answer is 40.8°

Find the lateral area of this square based pyramid. 10in 5 in [ ? ]in?​

Answers

Answer:

Step-by-step explanation:

Lateral area, Al = a√(a² + 4h²)

Where,

a = base edge = 5 in

h = height = 10 in

Lateral area, Al = a√(a² + 4h²)

= 5√(5² + 4*10²)

= 5√(25 + 4*100)

= 5√(25 + 400)

= 5√425

= 5 * 20.615528128088

= 103.07764064044

Approximately,

Lateral area = 103.08 in²

Answer: 100

Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100

Place the indicated product in the proper location on the grid.
(x + 2y)2

Answers

Answer:

32

Step-by-step explanation:

d6 plus four nine its wrong "+_)

Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did they win in total?

Answers

Answer:

40

Step-by-step explanation:

30÷3=10

30+10=40

Hope this helps! :)

The focus is the point inside a _____________ that helps determine the shape of the curve.
1.vertix
2.parabola
3.directrix
4.quadratic

Answers

4 quabratic

I answered it recently

The focus is the point inside a parabola that helps determine the shape of the curve.

What is a parabola?

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.

One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.

The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.

This property allows us to use the focus and directrix to determine the shape and location of the parabola.

Thus,

The focus is the point inside a parabola that helps determine the shape of the curve.

Learn more about parabola here:

https://brainly.com/question/21685473

#SPJ2

Find the surface area of each cube
26. A cube with each side length of 5.6 inches

Answers

26.) 188.16 square inches
Explanation:
Formula for surface area of cube:
6a^2
Where a represents the side length

Use the formula with the given dimension:
6 • 5.6^2 = 188.16

FINAL ANSWER: 188.16 square inches

27.) 384 square meters
Use the formula for surface area of cube:
6a^2
Where a represents the side length

Use the formula with the given dimension:
6 • 8^2 = 384

FINAL ANSWER: 384 square meters

Pls com.ment if my answers are right!
If they were, brainliest please!
Have a nice day ;) -SpaceMarsh :Dd



Need it fastttttt plssss I will give brainly ​

Answers

Answer:

385

Step-by-step explanation:

(3/5 x 10/8) - (7/9 x 3/8) + (4/5 x 7/2)

=3/4-7/24+14/5

=90/120 - 35/120 + 840/120

=46200/120

=385

Hope this helps!

Geometry math Jim please help and show work thanks

Answers

Yes they are similar because all corresponding sides share the scale factor of 1.2. I hope this makes sense like it does in my head :)

Set up a proportion and use it to solve for x

Answers

Answer:

x = 25

Step-by-step explanation:

hyp/short leg

Compare large triangle to small triangle

x/15 = 15/9

multiply both sides by 15

x = 15/9 * 15

x = 25

Please help out with this question!

Answers

Answer:

[tex]1. \: \: a = 4[/tex]

[tex]2. \: \: y = 16[/tex]

Step-by-step explanation:

[tex]1. \: \: a + 5 = 9[/tex]

[tex]a = 9 - 5[/tex]

[tex]a = 4[/tex]

[tex]2. \: \: y−4=12[/tex]

[tex]y=12+4[/tex]

[tex]y = 16[/tex]

Hope it is helpful....
Number one is a=4
step by step explanation:
Inverse operation of addition is subtraction.

a+5=9
-5 -5
a= 4
First thing you want to do is isolate “a”so you have to subtract 5 from both sides of the equation so you can be left with x alone. That will give you a=4

Number 2: is y=16

y - 4 =12
+ 4 +4
y= 16

In this equation the inverse operation of subtraction is addition. So instead of subtracting 4 by both sides of the equation like we did in number one… you will add 4 to both sides of the equation to cancel out the 4 and have “y” by it self.

The product of (3+2i) and a complex number is (17+7i)

The complex number is______

Answers

Answer:

The complex number is;

37 + 55i

Step-by-step explanation:

Here, we want to find the product of the two

We proceed as follows;

(3 + 2i)(17+ 7i)

= 3(17 + 7i) + 2i(17 + 7i)

= 51 + 21i + 34i + 14(i)^2

Recall; i = √(-1)

Thus, we have it that;

51 + 55i -14

= 51-14 + 55i

= 37 + 55i

Change the negative exponent to a positive exponent

Answers

Answer:

[tex] \frac{1}{ {6}^{8} } [/tex]

Step-by-step explanation:

when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power

Example: 5^-2 = 1/5^2

For the polynomial below, -2 is a zero.
f(x) = x² + 8x + 18x + 12
Express f(x) as a product of linear factors.
need answer asap!

Answers

Step-by-step explanation:

=(-2)2+8(-2)+18(-2)+12

=4-16-36+12

=4+52+12

=56+12

=68

OR

=4-16-36+12

= -12-24

= -36

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6

Answers

Answer:

x-intercept: (3, 0)

y-intercept: (0, 2)

Step-by-step explanation:

For a function like:

y = f(x)

The x-intercept is the value of x when y = 0

the y-intercept is the value of y when x = 0

Also remember that an ordered pair is written as (x, y).

In this case we have the equation:

2*x + 3*y = 6

For the x-intercept, we just replace y by zero in the equation, then we get:

2*x + 3*0 = 6

Solving this for x, we get:

2*x = 6

x = 6/2 = 3

Then in this case, the ordered pair for the x-intercept is (3, 0)

For the y-intercept, we just need to replace x by zero in the equation:

2*0 + 3*y = 6

Solving this for y, we get:

3*y = 6

y = 6/3 = 2

Then the ordered pair for the y-intercept is (0, 2)

how tall is three feet

Answers

Answer: if you mean Inches, its 25.

Answer:

36 inches or 1 yard

Step-by-step explanation:

answer please!! It's due tomorrow ​

Answers

Answer:

15) The length of the line segment DE is 14.908.

16) The measure of the angle W is approximately 31.792°.

17) The length of the ladder is approximately 23.182 feet.

Step-by-step explanation:

15) We present the procedure to determine the length of segment DE:

(i) Determine the length of the line segment DF by trigonometric relations:

[tex]\tan C = \frac{DF}{CF}[/tex] (1)

([tex]C = 61^{\circ}[/tex], [tex]CF = 24[/tex])

[tex]DF = CF\cdot \tan C[/tex]

[tex]DF = 24\cdot \tan 61^{\circ}[/tex]

[tex]DF \approx 43.297[/tex]

(ii) Determine the length of the line segment DE by trigonometric relations:

[tex]\tan F = \frac{DE}{DF}[/tex] (2)

([tex]DF \approx 43.297[/tex], [tex]F = 19^{\circ}[/tex])

[tex]DE = DF\cdot \tan F[/tex]

[tex]DE = 43.297\cdot \tan 19^{\circ}[/tex]

[tex]DE \approx 14.908[/tex]

The length of the line segment DE is 14.908.

16) We present the procedure to determine the measure of the angle W:

(i) Determine the length of the line segment XZ by trigonometric relations:

[tex]\sin Z = \frac{XY}{XZ}[/tex] (3)

([tex]XY = 15[/tex], [tex]Z = 25^{\circ}[/tex])

[tex]XZ = \frac{XY}{\sin Z}[/tex]

[tex]XZ = \frac{15}{\sin 25^{\circ}}[/tex]

[tex]XZ \approx 35.493[/tex]

(ii) Calculate the measure of the angle W by trigonometric relations:

[tex]\tan W = \frac{XZ}{WZ}[/tex] (4)

([tex]XZ \approx 35.493[/tex], [tex]WZ = 22[/tex])

[tex]W \approx \tan^{-1} \left(\frac{22}{35.493}\right)[/tex]

[tex]W \approx 31.792^{\circ}[/tex]

The measure of the angle W is approximately 31.792°.

17) The system form by the ladder, the ground and the wall represents a right triangle, whose hypotenuse is the ladder, which is now found by the following trigonometric relation:

[tex]\cos \theta = \frac{x}{l}[/tex] (5)

Where:

[tex]\theta[/tex] - Angle of the ladder above ground, in sexagesimal degrees.

[tex]x[/tex] - Distance between the foot of the ladder and the base of the wall, in feet.

[tex]l[/tex] - Length of the ladder, in feet.

If we know that [tex]x = 6\,ft[/tex] and [tex]\theta = 75^{\circ}[/tex], then the length of the ladder is:

[tex]l = \frac{x}{\cos \theta}[/tex]

[tex]l = \frac{6\,ft}{\cos 75^{\circ}}[/tex]

[tex]l \approx 23.182\,ft[/tex]

The length of the ladder is approximately 23.182 feet.

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