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4 years ago

5

The time needed for a 15 miles long hike depends on the average speed of the hiker. Write the formula that describes this time a

s the function of the average speed.

1 answer:

Olin [163]4 years ago

5 0

Answer:

t = 15/S

Step-by-step explanation:

Let the average speed be S,

speed = Distance/time

S = 15/t

t = 15/S

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

diamong [38]

Answer:

A-2, B-DNE*, C-3, D-DNE, E-4, F-1

---------------------

The first attachment shows the solutions to A and C.

The second attachment shows the solutions to E and F.

There are no real number solutions to systems B and D.

_____

In general, you can solve the linear equation for y, then substitute that into the quadratic. You can subtract the x-term on the left and complete the square to find the solutions.

A.

(3-x) +12 = x^2 +x

15 = x^2 + 2x

16 = x^2 +2x +1 = (x +1)^2 . . . . add the square of half the x-coefficient to complete the square; next take the square root

±4 -1 = x = {-5, 3) . . . . . identifies the second solution set for system A

__

B.

(x -1) -15 = x^2 +4x

-16 = x^2 +3x

-13.75 = x^2 +3x +2.25 = (x +1.5)^2

roots are complex: -1.5 ±i√13.75

__

C.

(1-2x) +5 = x^2 -3x

6 = x^2 -x

6.25 = x^2 -x + .25 = (x -.5)^2

±2.5 +.5 = x = {-2, 3} . . . . . identifies the third solution set for system C

__

remaining problems are done in a similar way.

_____

* DNE = does not exist. There is no matching solution set for the complex numbers that are the solutions to this.

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<em>Hope this helps!</em>

<em />

<u>Brainliest would be great!</u>

<u />

---------------------

<em><u>With all care,</u></em>

<em><u>07x12!</u></em>

4 0

4 years ago

Can you plz help with this?

Allisa [31]

Answer:

d

Step-by-step explanation:

inverse property of addition is going back to zero with the equation so adding 2 to negative 2 will go back to zero

6 0

3 years ago

Read 2 more answers

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

<u>Slope of a line</u><u> :-</u>

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

<u>Parallel lines:-</u>

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

<u>Perpendicular lines:-</u>

<u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

<u>Step 2</u>:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

<u>Step 3</u>:-

b) <u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

Jenni has a box of chocolates. There are 15 pieces of dark chocolate and 25 pieces of milk chocolate in the box. What is the rat

Fofino [41]

Answer:

25:15

Step-by-step explanation:

because we have 15 dark chocolates and 25 milk chocolate

4 0

3 years ago

Find the probability that a randomly-chosen ninth grader will be absent 2 days next month.

miss Akunina [59]

Answer:

90% chance that it could happen.

7 0

4 years ago