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3 years ago

Write an equation of the parallel to 5x-6y=10 through the point (-6,-1) show all work

Mathematics

1 answer:

ioda3 years ago

5 0

5x-6y=10

-5x -5x

-6y=-5x + 10

y-yV1=m(x-xV1)

y+1 = -5 (x+6)

destribute the -5 to the parinthease.

y+1 = -5x - 30

-1 - 1

y= -5x -31

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Igoryamba

Answer:

1. x= -56.25

Expand

19.5-6.5x+36=201-4.5x-33

Simplify

-6.5x+55.5=201-4.5x-33

Simplify again

6.5x+55.5=-4.5x+168

Add 6.5 to both sides

55.5=-4.5x+168+6.5x

Simplify

55.5=2x+168

Subtract

55.5-168=2x

Simplify

112.5=2x

Divide both sides by 2

−112.5÷2 = x

Simplfy

x = -56.25

2. x > -7 ÷ 4

Decimal Form: -1.75

Remove parentheses

12x>4x+5−19

Simplify

12x>4x-14

Subtract

12x-4x>-14

Simplify

8x>-14

Divide both sides by 8

x > -14 ÷ 8

Simplify

x > -7 ÷ 4

Decimal Form: -1.75

3. Answer: Step 2 has an error

Step-by-step explanation:

Given equation,

2(10 - 13x) = -34x + 60

By distributive property,

20 - 26x = -34x + 60

Now, we need to isolate x on the left side of the equation,

For this we need to eliminate constant term from the left side,

20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )

I.e. Step 2 has an error,

We need to use subtraction property of equality instead of using addition property of Equality,

Note : The correct steps would be,

Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )

Step 3 : 8x = 40 ( addition property of Equality )

Step 4 : x = 5 ( Division Property of Equality )

Hope this helps!!! Good luck!!! ;)

8 0

3 years ago

Please help i beg i never get these right

Anuta_ua [19.1K]

Answer:

$\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}$

Step-by-step explanation:

Given

$\sin(105^o)$

Required

Solve

Using sine rule, we have:

$\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)$

This gives:

$\sin(105^o) = \sin(60 + 45)$

So, we have:

$\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)$

In radical forms, we have:

$\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}$

$\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}$

Take LCM

$\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}$

Rewrite as:

$\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}$

Hence:

$\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}$

3 0

3 years ago

Graph the solution of 2 ≥ 4 - v

In-s [12.5K]

Hello user

To solve for V we simplify both sides of the equation then isolate the variable to get v ≥ 2

Therefor the answer is: v ≥ 2

I hope this helped
-Chris

6 0

3 years ago

Can someone help for my math test? its 20 points and ill be giving brainiest!

weqwewe [10]

Answer:

the length in fraction form would be 16 1/2 rounded to the nearest 10 would be 20

Step-by-step explanation:

because 16.5=16 1/2

16.5=17

17=20

4 0

3 years ago

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Jarred wants to by a go-cart for $1,200

dybincka [34]

the go cart costs 1200

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3 years ago