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3 years ago

7

A hiker is lost in the woods a search team has created a coordinate grid to represent the woods each until on the grid is one sq

uare mile the hiker was last seen at(4,-9) and could have walked 10 miles in any direction since then which equation represents the area the hiker could be in

2 answers:

GalinKa [24]3 years ago

8 0

Answer: (x-4)^2+(y+9)^2=10^2

Explanation: The circle in the problem takes the form (x-h)^2+ (y-k)^2=r^2. The hiker started at the center of the circle (h,k) = (4,9). The radius of the circle= 12. When you plug these values in you get (x-4)^2+ ky+9)^2=10^2

il63 [147K]3 years ago

5 0

Up to 10 miles in any direction means within a circle of radius 10 centered at (4,-9).

$(x,y) \textrm{ where } (x-4)^2 + (y+9)^2 \le 100$

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Write the equation for the perpendicular bisector of the given line segment.

Anon25 [30]

Answer:

$y=\frac{1}{3}x+\frac{5}{3}$

Step-by-step explanation:

Let

A(-5,5),B(-2,-4) ----> the given segment

step 1

Find the slope AB

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{-4-5}{-2+5}$

$m=\frac{-9}{3}$

$m=-3$

step 2

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

so

the slope of the perpendicular bisector is equal to

$m_1*m_2=-1$

we have

$m_1=-3$

substitute

$(-3)*m_2=-1$

$m_2=\frac{1}{3}$

step 3

Find the midpoint segment AB

A(-5,5),B(-2,-4)

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2} ,\frac{y1+y2}{2})$

substitute the values

$M(\frac{-5-2}{2} ,\frac{5-4}{2})$

$M(-\frac{7}{2} ,\frac{1}{2})$

step 4

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{1}{3}$

$M(-\frac{7}{2} ,\frac{1}{2})$

substitute

$y-\frac{1}{2}=\frac{1}{3}(x+\frac{7}{2})$

step 5

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-\frac{1}{2}=\frac{1}{3}x+\frac{7}{6}$

$y=\frac{1}{3}x+\frac{7}{6}+\frac{1}{2}$

$y=\frac{1}{3}x+\frac{10}{6}$

simplify

$y=\frac{1}{3}x+\frac{5}{3}$

see the attached figure to better understand the problem

5 0

4 years ago

Explain how a line of best fit can be used to make predictions. You explanation should be at least 3-4 sentences and include at

Dmitrij [34]

The line of best fit helps you make predictions based upon ordered pairs that you have plotted. The independent variable is on the x axis. The dependent variable is on the y axis. You find the slope by plugging in the order pairs into a calculator which gives you the line of best fit.

Hope this helped :)

6 0

3 years ago

PLEASE HELP I NEED THIS QUICK

Molodets [167]

50 because you make 20% into a decimal and multiply 250 and .20

6 0

3 years ago

Read 2 more answers

How to solve this and what’s the final answer

dolphi86 [110]

Answer:

729 m³

Step-by-step explanation:

Volume of a cube (or a rectangular prism) formula:

lwh

l is length

w is width

h is height

Here, the length, width, and height measures 9 m.

So

9 × 9 × 9 or 9³ = 729

6 0

4 years ago

Roberto's toy car travels at 40 centimeters per second (cm/sec) at high speed and 15 cm/sec at low speed. If the car travels for

Triss [41]

Answer:

1675 cm

Step-by-step explanation:

distance = speed · time

total distance = speed1 · time1 + speed2 · time2

= (40 cm/s)(25 s) + (15 cm/s)(45 s) = 1000 cm + 675 cm = 1675 cm

8 0

4 years ago