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4 years ago

Use the given conditions to write an equation for the line in point-slope form and general form.

Mathematics

1 answer:

zysi [14]4 years ago

3 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

P (-5, 5)

Parallel to 6x - 5y - 9 = 0

Process

1.- Find the equation of the line

6x - 5y = 9

-5y = -6x + 9

y = -6/-5 x + 9/-5

y = 6/5 x - 9/5

slope = 6/5, as the lines are parallels, the slope is the same.

2.- Get the equation of the new line

y - y1 = m(x - x1)

y - 5 = 6/5 (x + 5)

y - 5 = 6/5x + 6

y = 6/5x + 6 + 5

y = 6/5x + 11 Point-slope form

5y - 25 = 6(x + 5)

5y - 25 = 6x + 30

6x - 5y + 30 + 25 = 0

6x - 5y + 55 = 0 General form

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Tamiku [17]

Answer:B) -5/6 divide 1/5 = -4 1/6

Step-by-step explanation:Do KCF which is Keep Change Flip .Or change both to demical.

4 0

3 years ago

Change one fraction in each pair so that they have the same denominator then rewrite the fraction IE: 1/4 and 3/8 after that whi

LiRa [457]

1/4 would be 2/8 so the 3/8 is greater

8 0

3 years ago

The sum of two numbers is 30 and their difference is 12, what are the two numbers

Tju [1.3M]

Step-by-step explanation:

Let the number is a and b

The sum of two numbers =30

so,a+b=30 ............(1)

The difference of two number =12

so,a-b=12 .................(2)

If we add two equation (1) and (2)

we get,

a+b+a-b=30+12

2a=42

$\tt{ a=\dfrac{42}{2} }$

$\tt{ a=21 }$

so,one number is a=21

if we put the value a in (2) equation

we get,

a-b=12

21-b=12

b=21-12

b=9

so,the another number is=b=9

$\tt{ the~two~ number~ are~ 21 ~and~ 9 }$

3 0

3 years ago

Read 2 more answers

Mr Baxter deposits 2,000 in an account that earns %5 simple interest how much is mr Baxter investment after 8 years?

ioda

Answer:

$2,800

Step-by-step explanation:

The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.

I = (2000)(0.05)(8)

I = $800

Then we add that to the principal to get $2,800

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

Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?

I = PRT

400 = P(0.06)(3)

400 = 0.18P

P = $2,222. 22

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

Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?

I = PRT

I = (275)(0.08)(12)

I = $264

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

Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???

I = PRT

I = (6000)(0.05)(T)

Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.

7 0

3 years ago

Can someone please help me with this ??

egoroff_w [7]

Answer: d = -16 .
_______________________________________________________
Explanation:
____________________________________________________

Given: 0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ; Solve for "d" ;
_________________________________________
→ Note the distributive property of multiplication:
____________________________________________
a (b + c) = ab + ac ;
a (b − c) = ab − ac ;
________________________________________
As such, we can expand the left-hand side of the question:
______________________________________________
→ 0.2 (d − 6) = (0.2 *d) − (0.2 *6) = 0.2 d − 1.2;
________________________________________
And rewrite the entire equation:
________________________________________
→ 0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d ;
__________________________________________
→ Let us multiply the ENTIRE equation (both sides) by "10"; to get rid of the decimals:
_________________________________________
→ 10 * {0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d} ;
___________________________________________
→ 2d − 12 = 3d + 50 − 30 + 1d ;

→ Combine the "like terms", +3d , +1d ; to get 4d; on the 'right-hand side' of the equation ; and rewrite:

→ 2d − 12 = 4d + 50 − 30 ;

→ Now add "12"; and subtract "2d" from EACH SIDE of the equation;

→ 2d − 12 + 12 − 2d= 4d + 50 − 30 + 12 − 2d ;

→ 0 = 2d + 32 ; ↔ 2d + 32 = 0 ;

→ Subtract "32" from each side of the equation:
_________________________________________________________
→ 2d + 32 − 32 = 0 − 32 ;

→ 2d = - 32
__________________________________
→ Now, divide EACH side of the equation by "2" ; to isolate "d" on ONE side of the equation; and to solve for "d" ;
____________________________________________________
→ 2d / 2 = - 32 / 2 ;
_________________________________________
→ d = - 16 ; which is our answer.
_______________________________________________________
Let us check our answer by plugging this value for "d" in the original equation to see if the equation holds true when "d = -16" ;
___________________________________________________
→ 0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ;
_______________________________________________
→ Let us start with the "left-hand side".
_______________________________________
→ 0.2 (d − 6) ; ↔ 0.2*(-16 − 6) ; ↔ 0.2*(-22) = -4.4.
_____________________________________________
When "d" = -16 in the right-hand side of the equation,
is the result, "-4.4" ???
_______________________________________________
→ 0.3d + 5 − 3 + 0.1 d = ? -4.4 ???
________________________________________
→ (0.3 * -16) + 5 − 3 + (0.1 * -16) =? -4.4???
_____________________________________________
→ (-4.8) + 5 − 3 + (-1.6) = ? -4.4????
___________________________________________
→ (-4.8) + 5 − 3 − (1.6) = ? -4.4????

→ -4.4 =? -4.4??? Yes!!!
_____________________________________________________

3 0

3 years ago

Use the given conditions to write an equation for the line in​ point-slope form and general form.

Use the given conditions to write an equation for the line in point-slope form and general form.