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3 years ago

Determine the equation of a line through the point (3,-4) that is perpendicular to the line y=3x+7

Mathematics

1 answer:

Lana71 [14]3 years ago

7 0

Answer:

y = - $\frac{1}{3}$ x - 3

Step-by-step explanation:

The equation of a line in slope- intercept fprm is

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

y = 3x + 7 is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{3}$ , thus

y = - $\frac{1}{3}$ x + c ← is the partial equation of the perpendicular line

To find c substitute (3, - 4) into the partial equation

- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3

y = - $\frac{1}{3}$ x - 3 ← equation of perpendicular line

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Answer:

¬(W∨S)→¬(J∨E)

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Step-by-step explanation:

The hypotheses "neither water nor soft drinks can quench your thirst" translates to ¬(W∨S) ("neither nor" negates the disjunction W∨S). The "if,... then" translates to the implication symbol (arrow). The conclusion "juice will not do it, unless the juice contains electrolytes" translates to ¬(J∨E). This is because if J or E were true, then J would be true (because E implies J), contrary to the conclusion that J is false ("juice will not do it"), then J∨S is false.

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3 years ago

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PSYCHO15rus [73]

A rational number is a number which can be expressed as a fraction whose numerator and denominator are both integers and whose denominator is not equal to zero. Rational numbers include all integers, fractions, mixed numbers, and some decimal numbers.

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<span>
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3 years ago

A principal of $950 is invested in an account at 7 percent simple interest per year. What is the amount of the principal after 5

Nataly_w [17]

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Answer:

Yes

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