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2 years ago

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

Mathematics

2 answers:

Elis [28]2 years ago

8 0

Answer:

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

Step-by-step explanation:

sveticcg [70]2 years ago

4 0

(2,2)(-2,-4)
slope = (-4 - 2) / (-2 -2) = -6/-4 = 3/2. the slope of this line is 3/2. A parallel line will have the same slope

y - y1 = m(x - x1)
slope(m) = 3/2
(-3,1)...x1 = -3 and y1 = 1
now we sub
y - 1 = 3/2(x - (-3)....not done yet
y - 1 = 3/2(x + 3) <=== its the last one

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Which is equivalent to sin^-1(tan(pi/4)) ? Give your answer in radians.

aleksklad [387]

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2 years ago

Read 2 more answers

Find the area of the triangle with vertices: q(3,-4,-5), r(4,-1,-4), s(3,-5,-6).

maw [93]

Answer:

(√6)/2 square units

Step-by-step explanation:

The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.

QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)

QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)

The cross product is the determinant ...

$\text{det}\left|\begin{array}{ccc}i&j&k\\1&3&1\\0&-1&-1\end{array}\right|=-2i+j-k$

The magnitude of this is ...

|QR × QS| = √((-2)² +1² +(-1)²) = √6

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3 0

2 years ago

1 point

Ahat [919]

James's current balance on his credit card is <u>$900.</u>

This amount represents the card's balance before the current charge of $1,500 and the finance charge of $60.

<h3>What is a credit card balance?</h3>

A credit card balance is the amount of the charges made on a credit card, including the finance charges, and therefore, owed to a credit card company.

<h3>Data and Calculations:</h3>

Current current balance = $x

APR (Annual Percentage Rate) of interest = 30%

Monthly APR = 2.5% (30%/12)

Current purchase for the month = $1,500

Finance charge for the month = $60

Finance charge for the current purchase = $37.50 ($1,500 x 2.5%)

Finance charge for the current balance = $22.50 ($60 - $37.50)

The current balance that attracts the finance charge of $22.50 will be $900 ($22.50/2.5%).

<u>Alternatively:</u>

Since the monthly APR is 2.5% and the finance charge is $60 for the month, the balance at the end of the month is $2,400 ($60/2.5%).

Thus, the current balance on James' credit card is $900 ($2,400 - $1,500) while the end-of-the-month balance is $2,460 ($900 + $1,500 + $60).

Learn more about credit card balance at brainly.com/question/6872962

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