, 80 POINTS Find k so that P(k,0) is equidistant from points A(1,2) and B(2,5).

Mathematics

1 answer:

blagie [28]3 years ago

8 0

Answer:

P(1.5, 3.5)

Step-by-step explanation:

We need to find the average of the x and y coordinates. We do this by adding the two values, then dividing by two:

P(x1 + x2/ 2, y1 + y2/2) = P(1 + 2/ 2, 2 + 5/ 2) = P(3/2, 7/2) = P(1.5, 3.5)

These are our coordinates!

You might be interested in

You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more t

lys-0071 [83]

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

$Perimeter = 2 \times (Length + Width)$

Putting the values of perimeter and length to find the value of width.

$48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}$

So, width possible is 6ft.

3 0

3 years ago

99 point please help

____ [38]

It wants it to be in slope-intercept form.

y=mx+b

We have to first find the slope and plug it into point-slope form.

y-y1=m(x-x1)

Find the slope of the second line. (I did this one first on accident)

Rise/run= 3/1= 3 The slope is 3. Plug that in along with the point (0,3)

y-3=3(x-0)
y-3=3x

Add 3 to the other side.

y= 3x +3 <- for the second line

Now, the second.

rise/run= 1/2= .5 Use point (6,0)

y-0=.5(x-6)
y= .5x-3

y=.5x-3 <- for the first line

I hope this helps!
~kaiker

4 0

3 years ago

Read 2 more answers

What is -a^-2 if a=-5

Leviafan [203]

$-a^{-2}=-(-5)^{-2}=-\left(\dfrac{1}{-5}\right)^2=-\dfrac{1}{25}$