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3 years ago

Consider the line y=-5/9x+6

Mathematics

1 answer:

Arlecino [84]3 years ago

4 0

Answer:

See below in bold.

Step-by-step explanation:

Use the point-slope form of a straight line

y - y1 = m(x - x1)

Here m = -5/9 , x1 = 9 and y1 = -3:, so

y - -3 = -5/9(x - 9)

y + 3 = -5/9x + 5

y = -5/9x + 2 is the equation parallel to the given line.

The line perpendicular to the given line will have a slope of - 1 / -5/9

= 9/5 so its equation is

y + 3 = 9/5(x - 9)

y = 9/5x - 81/5 - 3

y = 9/5x - 96/5 .

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a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches s

vodomira [7]

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) = $x^2$ ...equation (i)

Length of the rectangle = $(x+4)$

Width of the rectangle = $(x-2)$

Area of the rectangle =Length * Width

⇒ $(x+4)(x-2)=x^2-2x+4x-8$

⇒ $x^2+2x-8$ ...equation (ii)

Equating both the equation as area of both the figure are equal.

⇒ $x^2+2x-8=x^2$

⇒ $2x-8=0$ ...subtracting $x^2$ both sides

⇒ $2x=8$ ...dividing both sides with 2

⇒ $x=\frac{8}{2}=4$ inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒ $(x+4)=(4+4)=8$

So the length of the rectangle = 8 inches.

4 0

3 years ago

A marketing firm is studying consumer preferences for winter fashions in four different months. From a population of women 18-21

Solnce55 [7]

Answer:

There were total 4 samples collected and each sample had a sample size of n = 100.

Step-by-step explanation:

We are given the following information in the question:

Collection of samples:

$1^{st}\text{ sample was done in January with a sample size n = 100}$

$2^{nd}\text{ sample was done in March with a sample size n = 100}$

$3^{rd}\text{ sample was done in June with a sample size n = 100}$

$4^{th}\text{ sample was done in September with a sample size n = 100}$

Hence, there were total 4 samples collected and each sample had a sample size of n = 100.

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3 years ago

A bus is traveling at 50 mph. If the rate of speed increases 3 mph each hour, how long will it be before the bus is traveling at

arsen [322]

Answer:

It will take 10 hours.

Step-by-step explanation:

By using the formula of motion,

v = u + at

Here, v = Final speed of an object

u = initial speed

a = Acceleration by which the speed is increasing

t = Duration or time

Now substitute the values given in the question,

80 = 50 + 3t

3t = 30

t = 10 hours

Therefore, after 10 hours speed of the bus will be 80 mph.

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3 years ago

What is the area of a circle if its radius is 5? Step-by-step explanation too.

sesenic [268]

Answer:

Step-by-step explanation:

Area = 3.14r^2

Area = 3.14(5)^2

Area = 3.14(25)

Area = 78.5

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3 years ago

Five more than 3 times a number

ipn [44]

Answer:

3x+5

Step-by-step explanation:

Let number =X

Five more than 3 times a number

3x+5

5 0

3 years ago

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