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2 years ago

7

An airplane takes 5 hours to travel a distance of 3400 kilometers against the wind. The return trip takes 4 hours with the wind.

What is the rate of the plane in still air and what is the rate of the wind?

1 answer:

elena-s [515]2 years ago

3 0

I think it’s 25 km through the air

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Write the equation of the line that passes through the points (2,0) and (1,-2)

Darya [45]

Answer:

y

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer linky

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer link

4 0

1 year ago

A rectangle is formed by two congruent right triangles. The area of each triangle is 6 in2. If each side of the rectangle is a w

viktelen [127]

Area of the rectangle is 2*6=12 in^2
12 could be = 1*12 or 2*6 or 3*4
P could be 2*(1+12)=2*13=26
2*(2+6)=2*8=16
2*(3+4)=2*7=14

the answer is 24 in (c)

4 0

2 years ago

Solve the quadratic equation by completing the square.<br> x^2+12x+52=0

White raven [17]

Answer:

(x + 6)² + 16 = 0

Step-by-step explanation:

To complete the square we will first need to get our equation to look like: x² + bx = c

Here we have x² + bx + c = 0 → x² + 12x + 52 = 0

First we need to subtract our c, in this case 52, from both sides to get x² + 12x = -52
We then need to add $(\frac{b}{2} )^{2}$ to both sides of the equation
Here our b value is 12, so plugging this into our formula we get $(\frac{12}{2} )^{2} =(6)^{2} =36$
Adding 36 to both sides our equation becomes: x² + 12x + 36 = -52 + 36
Then combining like terms on the right side we get x² + 12x + 36 = -16
Now making our left side of the equation into a perfect square we get: (x + 6)² = -16
Finally adding the 16 to both sides of the equation we get: (x + 6)² + 16 = 0

6 0

3 years ago

Can someone please help me with this .. will mark brainliest !

dlinn [17]

Answer:

Zero

Step-by-step explanation:

Undefined is a Vertical Line, remember the 2 U's Undefined is Up and Down. Zero, is straight across.

8 0

2 years ago

Read 2 more answers

Suppose a rectangular garden plot has a length that can be expressed as x+2 feet and a width expressed as x+7 feet. Write a poly

mafiozo [28]

Answer:

$Area = x^2 + 9x + 14$

$Perimeter = 4x + 18$

Step-by-step explanation:

Given:

Length of rectangular garden = (x + 2) ft

Width = (x + 7) ft

Required:

a. Polynomial expression of the area of the garden

b. Polynomial expression of the perimeter of the garden

SOLUTION:

Area of the rectangular garden = length × width

$Area = (x + 2)(x + 7)$

Expand using the distributive property of multiplication

$Area = x(x + 7) +2(x + 7)$

$Area = x^2 + 7x + 2x + 14$

$Area = x^2 + 9x + 14$

Perimeter = 2(length) + 2(width)

$Perimeter = 2(x + 2) + 2(x + 7)$

$Perimeter = 2x + 4 + 2x + 14$

Collect like terms

$Perimeter = 2x + 2x + 4 + 14$

$Perimeter = 4x + 18$

6 0

2 years ago