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3 years ago

PLEASE HELP ASAP ILL GIVE 40 POINTS TO ANYONE THAT WILL ANSWER CORRECTLY JUST LOOK AT SCREENSHOT BELOW

Mathematics

2 answers:

AnnyKZ [126]3 years ago

8 0

129. Just did the math

maks197457 [2]3 years ago

5 0

Answer: 129

Step-by-step explanation:

5^4/5 + 4

= 5^(4-1) + 4

= 5^3 + 4

= 125+4 = 129

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Write the equation of the perpendicular bisector of . Point B is located at (–3, 1), and point C is located at (1, 5).

maxonik [38]

The equation of perpendicular bisector of BC is

$y=-x+2$

Further explanation:

A perpendicular bisector passes through the mid-point of a line so to get an ordered pair from which the perpendicular bisector will pass we need to find the mid-point of BC.

$Mid-point = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\\Here\\(x_1,y_1) = (-3,1)\\(x_2,y_2) = (1,5)\\Putting\ values\ in\ formula\\M = (\frac{-3+1}{2} , \frac{1+5}{2} )\\= (\frac{-2}{2} ,\frac{6}{2})\\= (-1, 3)$

So the perpendicular bisector will pass through (-1,3)

Let m1 be the slope of BC

Then

$m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{5-1}{1+3} \\=\frac{4}{4}\\ =1$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of perpendicular lines is -1.

$m_1.m_2 = -1\\1*m_2 = -1\\m_2 = -1$

The standard form of point-slope form of line is:

$y=mx+b$

Putting the value of slope of bisector we get

$y=(-1)(x)+b\\y=-x+b$

To find the value of b, put the ordered pair (-1,3) in the equation

$3 = -(-1) +b\\3= 1+b\\3-1 =b\\b=2\\$

Putting the values of m and b in standard form

$y=-x+2$

Hence the equation of perpendicular bisector of BC is

$y=-x+2$

Keywords: Perpendicular bisector, Point-slope form

Learn more about point-slope form at:

#LearnwithBrainly

6 0

3 years ago

Slope of (6,-7) and (-6,-3)

Bogdan [553]

The formula for finding a gradient is
y2-y1/x2-x1.
So in your case it will be the following:

3 0

3 years ago

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian

ruslelena [56]

Answer:

Step-by-step explanation:

Radian= arc/radius

18/6=3

6 0

3 years ago

What are the coordinates of point B?

zaharov [31]

Point a is at (-2,4) => (x1,y1)

Midpoint is (2.5, 3.5) => (a,b)

Point B is (x2, y2)

To find midpoint we use formula

$(a=\frac{x_1+x_2}{2} , b= \frac{y_1+y_2}{2})$

a= 2.5, b= 3.5, x1= -2 and y1= 4

Plug in all the values and findout x2, y2

$(2.5=\frac{-2+x_2}{2} , 3.5= \frac{4+y_2}{2})$

multiply 2 on both sides to remove fraction

(5 = -2+x2 , 7 = 4+ y2)

5 = -2+x2, so x2= 7

7 = 4+ y2, so y2= 3

The point B is ( 7, 3)

3 0

3 years ago

Write a formula for the maximum number of segments determined by n points

jeyben [28]

Let n = the number of points
(x-1) + ... (x-x)

The last term will always be 0, when you reach that, stop.

ex. 1pt: 1-1=0
2pt: (2-1) + (2-2) = 1
3pt: (3-1) + (3-2) + (3-3) = 3

7 0

3 years ago

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