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MAVERICK [17]
3 years ago
5

write the standard form of the line that is parallel to 2x 3y = 4 and passes through the point (1, -4).

Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0
Parallel lines has equal slopes.
For line, 2x + 3y = 4
3y = -2x + 4
y = -2/3 x + 4/3
i.e. slope is -2/3

Equation of a line is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

y - (-4) = -2/3 (x - 1)
y + 4 = -2/3 x + 2/3
3y + 12 = -2x + 2
2x + 3y = 2 - 12

Required equation in standard form is 2x + 3y = -10
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when the sum of an unknown number z and twenty two is divided by the same unknown number,the quotient is twelve what is the unkn
Anarel [89]

The unknown number . . . . .  (z)

The sum of the unknown number and 22 . . . . .  (z + 22)

The sum of the unknown number and 22
divided by the same unknown number . . . . . . .  (z + 22) / z

You said that quotient is 12.              (z + 22) / z  =  12

Multiply each side by 'z' :                  (z + 22)       =  12 z

Subtract 'z' from each side:                      22        =  11 z

Divide each side by  11 :                           2         =      z .
   
6 0
3 years ago
Contains the point (-1, 2) and is parallel to<br> x – 2y = -3
ivanzaharov [21]

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

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3 years ago
You are spreading fertilizer on a golf course at the rate of 40 pounds per 10000 square feet. If the course is 320 acres, how ma
MatroZZZ [7]
I believe the answer is 18,295.2 tons of fertilizer.
6 0
3 years ago
What is the answer? Plsss help me
butalik [34]

Answer: 11 (i think )

hope this helps

7 0
2 years ago
Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.
almond37 [142]

The  increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from  y = ± x.

<h3>What is a Hyperbola?</h3>

This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.

The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.

Read more about Hyperbola here brainly.com/question/3351710

#SPJ1

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