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3 years ago

Find the exact value of x.

Mathematics

1 answer:

PolarNik [594]3 years ago

7 0

Answer:

$x = 4 \sqrt{3}$

Step-by-step explanation:

$\frac{8}{2} = 4 \\ 4 \times \sqrt{3} = 4 \sqrt{3}$

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Line segment NY has endpoints N(-11, 5) and Y(3,-3).

777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)$

$Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)$

$Midpoint=\left(-4,1\right)$

Slope of lines NY is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-3-5}{3-(-11)}$

$m=\dfrac{-8}{14}$

$m=\dfrac{-4}{7}$

Product of slopes of two perpendicular lines is -1. So,

$m_1\times \dfrac{-4}{7}=-1$

$m_1=\dfrac{7}{4}$

The perpendicular bisector of NY passes through (-4,1) with slope $\dfrac{7}{4}$ . So, the equation of perpendicular bisector of NY is

$y-y_1=m_1(x-x_1)$

$y-1=\dfrac{7}{4}(x-(-4))$

$y-1=\dfrac{7}{4}(x+4)$

$y-1=\dfrac{7}{4}x+7$

Add 1 on both sides.

$y=\dfrac{7}{4}x+8$

Therefore, the equation of perpendicular bisector of NY is $y=\dfrac{7}{4}x+8$ .

6 0

3 years ago

There are 10 boys in a class of 15 people. create a ratio of boys to girls simplify

nordsb [41]

Answer:

10:5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The measure of ADB is 162 . what is the measure of EAB?

Xelga [282]

An angle formed by a chord and a tangent line is half the measure of the intercepted arc.

The intercepted arc is ADB, which is given as 162 degrees.

Angle EAB = 1/2 of 162

The answer is 81 degrees.

6 0

3 years ago

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A car is purchased for $24,000 . After each year, the resale value decreases by 20% . What will the resale value be after 5 year

aliya0001 [1]

Answer:0

The can will have no value after 5 years

Step-by-step explanation:

If it lost 20% value in the first year after 5 year is amount to 100% devalued making it worth nothing at the fifth year.

20/100*24000=$4,800 in the first year

After the first year the value will be

Therefore in five year the value will be

4800*5= $24000 devalued

Making the car zero worth

6 0

4 years ago

Uppose you have a bag of marbles and of the marbles are . If you choose one without looking, the probability you choose marble

ddd [48]

C. Divide the numerator by the denominator.

5 0

3 years ago