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3 years ago

A line is parallel to y = 5x + 9 and

Mathematics

1 answer:

ch4aika [34]3 years ago

5 0

Answer:

y = 5x + 7

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 )

y = 5x + 9 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, thus

y = 5x + c ← is the partial equation

To find c substitute (- 2, - 3) into the partial equation

- 3 = - 10 + c ⇒ c = - 3 + 10 = 7

y = 5x + 7 ← equation of parallel line

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Andrej [43]

Answer:

0.23328,2.4

Step-by-step explanation:

Given that an airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.

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3 years ago

What are the remaining trig functions? and how do i solve for them? pls help

erastovalidia [21]

You're told that tan(θ) is positive, but

tan(θ) = sin(θ)/cos(θ)

and you're also told that sec(θ) = 1/cos(θ) = -3. So if cos(θ) is negative, sin(θ) must also be negative. In turn, both sec(θ) = 1/cos(θ) and csc(θ) = 1/sin(θ) are also negative.

Now, recall the Pythagorean identity,

cos²(θ) + sin²(θ) = 1

Multiply through both sides by 1/cos²(θ) to get an alternate form of the identity,

1 + tan²(θ) = sec²(θ)

Solve for tan(θ) (which we know is positive):

tan(θ) = √(sec²(θ) - 1) = 2√2

Right away, we get

cot(θ) = 1/tan²(θ) = 1/(2√2) = √2/4

Since sec(θ) = -3, it follows that cos(θ) = -1/3.

Then

tan(θ) = sin(θ)/cos(θ) ==> sin(θ) = 2√2 × (-1/3) = -2√2/3

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3 years ago

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4 years ago

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wel

Answer:

(x+11), (y+15)

Step-by-step explanation:

the point v gets translated 11 points to the right, so the translation is x+11.

Point v also gets translated 15 points up, so the translation is y+15

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2 years ago

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tino4ka555 [31]

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