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3 years ago

What is an equation of the line that passes through (-2,3) and (6,-1)?

Mathematics

1 answer:

erica [24]3 years ago

3 0

Answer:

Step-by-step explanation:

Slope = (-1-3)/(6+2) = -4/8 = -1/2

Equation of a line is

y-y1 = m(x-x1)

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

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

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What is the solution to this inequality -13x> - 39

s344n2d4d5 [400]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: x < 3

Interval Notation:

( − ∞ , 3 )

3 0

3 years ago

Read 2 more answers

Plzzzzzzzzz help meeeeeeeeeeeeee

zzz [600]

Answer:

<em>Solution; x = - 2, x = 5</em>

Step-by-step explanation:

We are given the following equation 2x^2 + 2x + 12 = 3x^2 - x + 2;

2x^2 + 2x + 12 = 3x^2 - x + 2 ⇒ Subtract 2 from either side,

2x^2 + 2x + 10 = 3x^2 - x ⇒ Add x on either side,

2x^2 + 2x + 10 = 3x^2 ⇒ Subtract 3x^2 on either side, simplifying result,

- x^2 + 3x + 10 = 0 ⇒ Factor out common term - 1,

- ( x^2 - 3x - 10 ) = 0 ⇒ Break expression into groups,

- ( x^2 + 2x ) + ( - 5x - 10 ) = 0⇒ Factor x from x^2 + 2x , and - 5 from - 5x - 10,

- ( x( x + 2 ) ) - 5( x + 2 ) = 0 ⇒ Factor out common term x + 2,

- ( x + 2 )( x - 5 ) = 0 ⇒ Apply Zero Factor Principle,

x + 2 = 0, and x - 5 = 0 ⇒ Simplify,

<em>Solution; x = - 2, x = 5</em>

7 0

3 years ago

Una diseñadora de modas que confecciona trajes de noche, tarda 3 horas en cortar y 2 horas en coser cada vestido de fiesta. Para

ella [17]

For this case we define the following variables:

x: Number of party dresses

y: Number of suits

You have 30 hours per week to cut, that is, the first equation is given by:

$3x + 3y = 30\\$

It is also known that 25 hours per week are available for sewing, that is:

$2x + 3y = 25\\$

It has a system of two equations with two unknowns, solving we have:

$3x + 3y = 30\\\\2x + 3y = 25\\$

Multiplying the second equation by -1:

$3x + 3y = 30\\\\-2x-3y = -25\\$

Adding up:

$x + 0 = 5\\\\x = 5\\$

Substituting x in the first equation:

$3 * 5 + 3y = 30\\\\15 + 3y = 30\\$

Clearing and:

$3y = 30-15\\\\3y = 15\\$

$y = \frac{15}{3}\\\\y = 5\\$

Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.

Answer:

5 Party dresses

5 Suits

5 0

3 years ago

Difference of -150 and 325

Montano1993 [528]

Step-by-step explanation:

$- 150 - 325 = - 340$

3 0

2 years ago

Read 2 more answers

How long would it take me to earn 139.50 of interest at a 6% interest rate if I started with 930

Natali [406]

139.50/55.8=t t=2.5 yrs simple interest

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3 years ago