All categories

2 years ago

24. A metal coin is located at (18, 10). How much closer or farther from Ann is the coin than the jewelry?

Mathematics

1 answer:

Vinvika [58]2 years ago

4 0

Answer:

10.5

Step-by-step explanation:

You might be interested in

Which of the following can be used to find how many milliliters are in 0.43 L?

Alenkinab [10]

Answer:

Dsne

Step-by-step explanation:

4 0

2 years ago

Determine an equation for the right bisector of the line segment with endpoints J(-5,3) and K(3,-2)

Norma-Jean [14]

Answer:

$y=1.6x+2.1$

Step-by-step explanation:

we know that

The right bisector of the line segment JK is a perpendicular line to the segment JK that pass through the midpoint of segment JK

step 1

Find the midpoint JK

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

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

we have

$J(-5,3),K(3,-2)$

substitute the values

$M(\frac{-5+3}{2},\frac{3-2}{2})$

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

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

step 2

Find the slope JK

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

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

we have

$J(-5,3),K(3,-2)$

substitute

$m=\frac{-2-3}{3+5}$

$m=\frac{-5}{8}$

$m=-\frac{5}{8}$

step 3

Find the slope of the line perpendicular to the segment JK

we know that

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

$m_1*m_2=-1$

we have

$m_1=-\frac{5}{8}$ ----> slope of segment JK

Find m_2

substitute

$(-\frac{5}{8})*m_2=-1$

$m_2=\frac{8}{5}$

step 4

Find the equation for the right bisector of the line segment JK

The equation in point slope form is equal to

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

we have

$m=\frac{8}{5}$

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

substitute

$y-\frac{1}{2}=\frac{8}{5}(x+1)$

Convert to slope intercept form

isolate the variable y

$y-\frac{1}{2}=\frac{8}{5}x+\frac{8}{5}$

$y=\frac{8}{5}x+\frac{8}{5}+\frac{1}{2}$

$y=\frac{8}{5}x+\frac{21}{10}$

$y=1.6x+2.1$

7 0

2 years ago

How to solve 5(x+1)(x+1)(x+7)

damaskus [11]

Distribute the 5 to each of the numbers so you should get 5x+5+5x+5+5x+35. after this you should combine like terms, all of the 5’s & the 35 and 5x’s. you should have 15x+45. then you divide 45 by the 15 and you should get x=3

8 0

2 years ago

Heeeeeeeeeeeelp !!!!!!!!!!!!

Marysya12 [62]

Answer:

Step-by-step explanation:

6x2 + 5x - 4

6x2 + 8x - 3x - 4

2x(3x + 4) - 1(3x + 4)

(2x - 1) (3x + 4)

These are the factors

7 0

2 years ago

6% of 124 = 7.44 0.744 74.4 744 If you could explain would be great

Nezavi [6.7K]

To turn a percentage into a decimal, divide it by a hundred. So, 6% --> 6/100 which is 0.06. To find a percentage of a number, multiply the number by the percent in decimal form. In this case, 124 x 0.06. The answer is 7.44. So 6% of 124 is 7.44

8 0

3 years ago

24. A metal coin is located at (18, 10). How much closer or farther from Ann is the coin than the jewelry?​

24. A metal coin is located at (18, 10). How much closer or farther from Ann is the coin than the jewelry?