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il63 [147K]
3 years ago
15

Which equation represents a line that passes through the point ( 6 , − 3 ) and is parallel to the graph of y = 3 x + 1 ?

Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

              y + 3= 3(x - 6)        ←    point-slope form

             y = 3x - 21           ←    slope-intercept form

             3x - y = 21         ←    standard form

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 3x + 1   ⇒    m₁ = 3    ⇒    m₂ = 3

(6, -3)    ⇒    x₁ = 6,  y₁ = -3

point-slope form:

y - (-3) = 3(x - 6)

y + 3 = 3(x - 6)

y + 3 = 3x - 18              {subtact 3 from both sides}

y = 3x - 21        ←    slope-intercept form

-3x + y = -21                 {multiply both sides by (-1)}

3x - y = 21         ←    standard form

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According to financial advisers,
<span>* mortgage payment should be at most </span><span>28% of your gross monthly income
</span><span>* total monthly debt should be at most </span><span>36% of your gross monthly income.  Total monthly debts include </span><span>mortgage payments, car payments, credit card bills, student loans, and medical debt.\</span>

<span>gross annual income: 39,600</span>

gross monthly income: 39,600 / 12 = 3,300

a) maximum amount for monthly mortgage payment: 3,300 x 28% = 924

b) maximum amount for total credit obligations: 3,300 x 36% = 1,188

c) mortgage: 924 x 70% = 646.80 actual mortgage

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8 0
3 years ago
Work this out by giving your answer as a fraction 2/3 - 1/2
suter [353]

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2/3 becomes 4/6

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Now subtract the fractions with the common denominator

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7 0
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Anna71 [15]

Answer:

Check below, please.

Step-by-step explanation:

Hi, there!

Since we can describe eccentricity as e=\frac{c}{a}

a) Eccentricity close to 0

An ellipsis with eccentricity whose value is 0, is in fact, a degenerate one almost a circle. An ellipse whose value is close to zero is almost a degenerate circle. The closer the eccentricity comes to zero, the more rounded gets the ellipse just like a circle. (Check picture, please)

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How to solve 6x+5x-4=2x-8
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