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ANEK [815]
2 years ago
9

What is the equation of a line perpendicular to y=14x−3 and passes through the point (−2, 4)?

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
6 0

Answer:

they answer would be y = 3x + 2

Step-by-step explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

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Sound travels through sea water at a speed of about 1500 meters per second. At this rate, how far will sound travel in 2 minutes
Mariulka [41]

Answer:

180,000 m

Step-by-step explanation:

There are 60 seconds in a minute, so:

2 min × 60 s/min = 120 s

Distance = rate × time

d = 1500 m/s × 120 s

d = 180,000 m

8 0
3 years ago
Y = x + 5<br> y = -2x - 4<br>what are the y and x values please ​
Maksim231197 [3]

Answer:

x=-3, and y=2

Step-by-step explanation:

Since both equations are equal to y, set them equal to each other and solve for x, that way you can solve for y:

x+5=-2x-4

3x+5=-4

3x=-9

x=-3

Plugging in x=-3 into one of the original equations:

y = x + 5

y = -3 + 5

y = 2

Therefore, x=-3 and y=2. You can also write as the ordered pair (-3,2) since that's where the two equations would intercept on a graph.

3 0
3 years ago
How do I verify #15 using fundamental trig identities?
expeople1 [14]

We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .

\frac{sin \theta + tan \theta}{1+cos \theta}

Using Quotient identity for tangent function, we will get

\frac{sin \theta+ \frac{sin \theta}{cos \theta}}{1+cos \theta}

\frac{sin \theta cos \theta + sin \theta}{cos \theta(1+cos \theta)}

Taking out sine function from the numerator

=\frac{sin \theta(1+cos \theta)}{cos \theta(1+cos \theta)}

Cancelling the common term of numerator and denominator

=\frac{sin \theta}{cos \theta} = tan \theta

7 0
3 years ago
The area of the right triangle shown is 24 square feet.
Stolb23 [73]

Given : A  = 24 sq feet

A = 0.5 base x height

base = x , height = x+2

A = 0.5 x(x+2)  = 24 sq feet

1) 0.5 x(x+2) = 24 (A)

2) x^2 + 2x - 48 = 0 (D)

To check the rest un-wrap the bracket:

x^2 + (x+2)^2 = 24

x^2 + x^2 + 4 + 4x = 24

2x^2 + 4x - 20 = 0

x^2 + 2x - 10= 0 (NO)

Likewise:

x^2 + (x+2)^2 = 100

x^2 + x^2  +4 + 4x = 100

2x^2 + 4x + 4 = 100

2x^2 + 4x - 96 = 0

3) x^2 + 2x - 48 = 0 (F)

To sum up: that's what apply:

1) 0.5 x(x+2) = 24 (A)

2) x^2 + 2x - 48 = 0 (D)

3) x^2 + 2x - 48 = 0 (F)

6 0
3 years ago
Read 2 more answers
What percent id 25 of 100?
Cloud [144]
25/100 is equal to 25%.

Percents are always out of 100.
So 25/100 is 25%.

Hope this helped☺☺
6 0
3 years ago
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