Triangle ABC has the following vertices:
· A(1,9)
B(11, -7)
C(-9,3)
Is triangle ABC a right triangle, and why?

Answer:

[tex]4x^2-20x+25[/tex]

Step-by-step explanation:

We start with this expression.

[tex](4x - 5)^2[/tex]

When an expression inside parentheses are squared, we have to take two of the expression and multiply them together. To do this, we need to multiply each part of one expression and multiply it with every part in the other expression.

This means that [tex](4x - 5) (4x - 5)[/tex] would become...

[tex](4x)(4x) = 4x^2\\(-5)(4x) = -20x\\(-5) (-5) = 25[/tex]

Now, we simply need to put all of the terms into one expression.

[tex]4x^2-20x+25[/tex]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

[tex]\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }[/tex]

Gradient of given line

[tex] = \frac{1 - ( - 5)}{3 - ( - 9)} [/tex]

[tex] = \frac{1 + 5}{3 + 9} [/tex]

[tex] = \frac{6}{12} [/tex]

[tex] = \frac{1}{2} [/tex]

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]

Midpoint of given line

[tex] = ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )[/tex]

[tex] = ( \frac{ - 6}{2} , \frac{ - 4}{2} )[/tex]

[tex] = ( - 3 , - 2)[/tex]

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

Answer:

It's Graph 1 because it passes the Y axis two times

Answer:

D. 136

Step-by-step explanation:

Answer:

17/70 ([tex]\frac{17}{70}[/tex])

Answer:

936 dollars

Step-by-step explanation:

I've got the area of the parallelogram and the area is 360 feet.area of parallelogram is equal to based x height then I took the money x the feet then I got 936 dollars hope it helps.

Answer:

the answer are

a = 3, b

= 5 and

c = -9

Answer:

The answer is in the photo below! :D

Step-by-step explanation:

Hope this helped!

-LEI

Answer:

42.4 m²

Step-by-step explanation:

The formula for the Area of this triangle = 1/2 absinθ

a = 8m

b = 12m

θ = 62°

The area of the triangle =

1/2 × 8m × 12m × sin 62

= 42.38 m²

Approximately = 42.4 m²

Answer:

a

Step-by-step explanation:

That is the only one equipped to this equation

Answer:

3.52 x − 5 + 6 y = 0

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

25x5=125

750 divided by 125 =6

Please use the heart to say thanks

Answer:

66.6666666667

Step-by-step explanation:

I osnt know how to explain it but that's the answer sorry

The solution of the expression divide 200 by 3 is,

⇒ 66.67

We have to given that,

To divide 200 by 3

We have to divide the number as,

⇒ 200 ÷ 3

3 ) 200 ( 66.6

   - 18

   ------

       20

      - 18

      ------

          20

        - 18

        ------

            2

Therefore, The solution of the expression divide 200 by 3 is,

⇒ 66.67

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Answer:

look at the box did you see it

Answer:

I hope you are wanting the measure of QM

QM = 12.08 in

Step-by-step explanation:

Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:

QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146

QM = √146 = 12.08 in

Answer:

-0.95, -2, -2.23, -25

Step-by-step explanation:

All you have to do is look at the sign of each number and see whether it's less than -0.94.

Answer: Function 1 has a greater rate of change than function two.

Answer:

X equals 6°.

Step-by-step explanation:

There is a geometry rule that states the outer angle of a triangle's interior angle is equivalent to the sum of the remaining two interior angles of the triangle. Following this rule, you can get that (6x + 8) + (5x + 8) = 82° ⇒ 11x + 16 = 82° ⇒ 11x = 66° ⇒ x = 6°.

Answer:

2.700

Step-by-step explanation:

You have to see if it is rounding up or down and it is rounding up

Answer:

y =(2/3)x + 80

Step-by-step explanation:

to get the slope.. change in y/change in x  in two points.

so use the points (0,80) and (30,100) and you get 2/3

you know the intercept, where x=0 (0,80) therefore the equation is 2/3x + 80

Answer:

true

Step-by-step explanation:

if each of the left has one right its a function if b had 12 and 3 it would not be a function so its a function because b and a has 3.

Answer:

Step-by-step explanation:

Answer:

i believe A is not true .

Step-by-step explanation:Notice how b,c,and d are all similar . pretend the first box is box a and the second box is box b . the answer choices are all similar in the terms like a/b=b/a or b/a=a/b . yet answer A is like a/a=b/b and it makes no sense

Answer:

Step-by-step explanation:

 it's 125 for the radius and also 125-62 = 63

so 125+63 = 188

188 * 62 = X^2

11656 = X^2

107.96 = x

108.0  = x  ( to the nearest tenth )

The perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets

Diameter = 250

To obtain the perpendicular distance, x :

We use the relation : x × x = Length to either side of mound :

Mathematically ;

x × x = 62 ft × (250 - 62)

x² = 62 × 188

x² = 11656 ft²

Take the square root of both sides ;

x = √11656

x = 107.9629 ft

Hence, the perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets

Learn more : https://brainly.com/question/9175503

Answer:

The values of 'x' they make the statement true are;

B; x = 8

E; x = 125

Step-by-step explanation:

The given criteria for 'x' = "The square root of x is a number that is non-terminating and non-repeating"

The terms non-terminating and non-repeating numbers are used to describe the characteristics of the decimal part of numbers

A non-terminating number is a form of decimal number that has an infinite number of digits out of which no part is endlessly repeating. This type of decimals are part of irrational numbers that cannot be presented in a fraction format

From the options, we have;

A: x = 1, √x = √1 = 1 No fraction, 1 ∉ x

B: x = 8, √x = √8 = 2·√2  Is non-repeating, non-terminating, 8 ∈ x

C: x = 25, √x = √25 = 5 No fraction, 25 ∉ x

D; x = 81, √x = √(81) = 9 ∉ x

E; x = 125, √125 = 5·√5 Is non-repeating, non-terminating, 125 ∈ x.

Answer:

C

Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

I just took the test and I think you might not need this but to anybody else who needs the answer its C for sure 1,601,000.

Answer:

6a is 80       6b120

Step-by-step explanation: