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3 years ago

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HURRY!!!!!! What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3

x + 4y = 15?

1 answer:

Ipatiy [6.2K]3 years ago

7 0

4y= -3x+15

y= (-3/4)x+15/4

y+2= (-3/4)(x-8)

y+2= (-3/4)x+6

y= (-3/4)x+4

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X²+y²-6x+14y-1=0<br> and please show your work so I can learn

Eva8 [605]

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

$x^2 + y^2 -6x+14y-1=0$

We need to use the Quadratic Formula*

$x =\frac{-b+\sqrt{b^2}-4ac }{2a}$ , $\frac{-b-\sqrt{b^2} -4ac }{2a}$

Thus, given the problem:

$a = 1, b=-6, c=y^2+14y-1$

So now we just need to plug them in the Quadratic Formula*

$x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2}$ , $x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}$

As you can see, it is a mess right now. Therefore, we need to simplify it

$x=\frac{6+2\sqrt{10-y^2-14y} }{2}$ , $x = \frac{6-2\sqrt{10-y^2-14y} }{2}$

Now that's get us to the final solution:

$x=3+\sqrt{10-y^2-14y}$ , $x=3-\sqrt{10-y^2-14y}$

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

3 0

2 years ago

Find the equation of the line shown. <br>please I need it soon as possible

Anna35 [415]

Answer:

Y=2x+0.5

Step-by-step explanation:

The gradient is 2/1=2x

The y-intercept looks to be around 0.5

5 0

3 years ago

Read 2 more answers

Mason has a collection of .49 stamps, .20 stamps and .3 stamps worth 23.55. He has 56 total .49 and .20 stamps and the number of

Nezavi [6.7K]

Answer: Mason has 40 forty-nine cent stamps, 16 twenty cent stamps and 25 three cent stamps

Step-by-step explanation:

Let x represent the number of 49 cent stamps that Mason has.

Let y represent the number of 20 cent stamps that Mason has.

Let z represent the number of 3 cent stamps that Mason has.

Mason has a collection of 49 cent stamps, 20 cent stamps, and 3 cent stamps worth $23.55. This means that

0.49x + 0.2y + 0.03z = 23.55 - - - - -1

He had 56 total 49 cent and 20 cent stamps. This means that

x + y = 56

x = 56 - y

The number of 3 cent stamps is nine more than the number of 20 cent stamps. This means that

z = y + 9

Substituting x = 56 - y and z = y + 9 into equation 1, it becomes

0.49(56 - y) + 0.2y + 0.03(y + 9) = 23.55

27.44 - 0.49y + 0.2y + 0.03y + 0.27 = 23.55

27.44 + 0.27 - 0.49y + 0.2y + 0.03y = 23.44

27.71 - 0.26y = 23.55

- 0.26y = 23.55 - 27.71

- 0.26y = - 4.16

y = - 4.16/ - 0.26y

y = 16

x = 56 - y = 56 - 16

x = 40

z = y + 9 = 16 + 9

z = 25

7 0

3 years ago

One of two supplementary angles is 8° more than one-third of the other angle. Find the measure of each of the angles.

storchak [24]

Hello,

Let's a and b the 2 angles.

a+b=180 (1)
a=b/3+8 ==> 3a-b=24 (2)

(1)+(2)==>4a=204==>a=51(°) and b=180-51=129(°)

Proof:
129/3+8=43+8=51
129+51=180

6 0

3 years ago

Points O, A, B lie on the same line. OA = 12 cm, OB = 9 cm. Find the distance between the midpoints of segments OA and OB if: Po

12345 [234]

Short Answer: 1.5
Givens
OA = 12
OB = 9
O does not lie on AB

Argument
The order that these lines must be in is OBA. O is on your left, B is in the middle and A is on your right.

Mark your distances as follows.
OB = 9
BA = 3

Mark the midpoint of OA = M1
Mark the midpoint of OB = M2

M1 = 12 / 2 = 6 so M1 is 6 units from O
M2 = 9/2 = 4.5

The distance between the two midpoints is 6 - 4.5 = 1.5
Answer M1 - M2 = 1.5 <<<<

Nice problem: Thanks for posting.

7 0

3 years ago

Read 2 more answers