1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksandrvk [35]
3 years ago
15

Contains the point (-1, 2) and is parallel to x – 2y = -3

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = \frac{1}{2} x + \frac{3}{2} ← in slope- intercept form

with m = \frac{1}{2}

• Parallel lines have equal slopes, thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - \frac{1}{2} + c ⇒ c = 2 + \frac{1}{2} = \frac{5}{2}

y = \frac{1}{2} x + \frac{5}{2} ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

You might be interested in
Please help me with this problem​
weqwewe [10]

Answer:

<em>The measures of angles A, B, and C are respectively 21°, 125°, and 34°</em>

Step-by-step explanation:

<u>Equations</u>

We are given some conditions applying to the internal angles on a triangle ABC.

The measure of angle A is 13 less than the measure of angle C.

The measure of angle B is 11 less than 4 times the measure of angle C

Let x = measure of angle C

The first conditions states:

m\angle A = x-13

The second conditions states:

m\angle B = 4x-11

The sum of all angles must be 180°, thus:

x - 13 + 4x - 11 + x = 180

Simplifying:

6x -24 = 180

Adding 24:

6x = 204

Dividing by 6:

x = 204/6

x = 34

m\angle C = x = 34^\circ

m\angle B = 4x-11 = 4*34-11 = 125^\circ

m\angle A = x -  13 = 34 - 13 = 21^\circ

The measures of angles A, B, and C are respectively 21°, 125°, and 34°

6 0
2 years ago
Dudley Greene's charge account statement shows an unpaid balance of $376.00. The monthly finance charge
Ket [755]

Answer:

sheeeexxkxkx

Step-by-step explanation:

dyddhjdjdjdj

6 0
3 years ago
Write a power represented with a positive base and a positive exponent whose value is less than the base
Murrr4er [49]
That's <u>always</u> true if <em>either</em> the exponent <em>or </em>the base is less than ' 1 '.

(But not always of they both are.)
7 0
3 years ago
If ∠WXZ≅∠YXZ and WZ = 38, what is YZ?
Vlad1618 [11]

Answer:

I say X

Step-by-step explanation:

I hope I helped

4 0
2 years ago
How much does 1/3 package weigh
rodikova [14]

Answer:

1/3 package of what

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins. Is the amount Mrs. Kloske and Mrs. Shelly paid equival
    15·2 answers
  • Kennan sells sandwiches during the summer soccer games to make money. He has already made $90 by selling sandwiches. He sells ea
    7·2 answers
  • If a &lt; b where on the line will a appear
    6·1 answer
  • How do I find 2 times as many
    6·1 answer
  • Pedro thinks that he has a special relationship with the number 3. In particular, Pedro thinks that he would roll a 3 with a fai
    10·1 answer
  • Pls help me on this rq
    15·2 answers
  • I need help on these questions ( will give brianliest if im able to )
    7·1 answer
  • HELPPPPP I ONLY HAVE ONE ATTEMPT
    7·2 answers
  • 9x-4y=-17 for y answer it for me plz
    10·2 answers
  • Find the mode (if any) of the list of data.<br> 13, 13, 15, 15, 13, 14, 15, 13
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!