Determine the point of intersection of right bisectors in a triangle ∆ABC with vertices A (-3, 5), B (1, 1) and C (−7, −3). Find the distance from the point of intersection to each vertex of the triangle.

Answer:

[tex]y = -\frac{1}{3}x + 5[/tex]

Step-by-step explanation:

y = mx + b

Let's start with where the line crosses the y axis.  We can see it crosses at 5.

So b = 5.

Let's try another point to figure out m, (3,4).

4 = 3m + 5

3m = -1

m = [tex]-\frac{1}{3}[/tex]

Answer:

y=-1/3+5

Step-by-step explanation:

since the line is going downhill, the slope would be negative (the slope is the number with the x attached). The slope is 3 over and 1 down. You would write it as rise over run, so it would be a -1/3. The line hits the y axis at 5, so the b (y=mx+b is the slope equation) would be 5.

Answer:

Step-by-step explanation:

Use this to help; starting out, this is coordinate plain, NOT TO SCALE.

Use the coordinates to figure out midpoints. If you don't know how to, look up the calculation method for it.

Sorry I couldn't help out more, gotta get back to essay.

Answer:

12 inches

Step-by-step explanation:

Suppose the ice cream scoop has the shape of a sphere of a radius (r) inches.

Thus, the top of the cone will also have a radius (r) inches.

Let consider h to be the height of the cone in inches.

So, the objective is to make the volume of the scoop of the ice cream to be the same as the volume of the cone.

To do that; we need to equate both volumes together and make h the subject of the formula:

The volume of a sphere = 4/3 πr³ and the volume of a cone = 1/3πr²h

4/3 πr³  = 1/3πr²h

Multiply both sides by 3

4πr³  = πr²h

4r = h

h = 4(3)

h = 12 inches

To contain all the ice cream inside the cone, the height of the ice cream cone needs to be 12 inches tall

Answer:

It is C

Step-by-step explanation:

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

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Answer:

2/7b + 10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I'm using this equation: a^2+b^2=c^2

x^2+6^2=10^2

x^2+36+100

x^2= 64

x=sqrt64

x=8

Answer:

One pair of gloves costs $3.75.

Step-by-step explanation:

Systems of equations

x=hats y=gloves

2x+3y=28.25  

x+y=12.25

2(12.25-y)+3y=28.25

24.5+y=28.25

y=3.75

Answer:

1

Step-by-step explanation:

If she has four $8 shirts, that costs $32, leaving her with $18 dollars, only enough for 1 pair of $10 shorts

Answer:

x = 78

Step-by-step explanation:

(x-8) + 20 = 90

x - 8 = 90 - 20

x - 8 = 70

x = 70 + 8

x = 78

Check:

(78-8) + 20 = 90

70 + 20 = 90

Answer:

In my thought it's angle L

Step-by-step explanation:

Hope it's will help you.

Answer:

it's angle l ..................

Answer:

i can't understnd it at all i mean you organized it but what does those mean??

Step-by-step explanation:

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

Answer:

-7 and 14 on khan

Answer:

The bases aren't the same

Step-by-step explanation:

If the bases are the same, then their exponents are added. In this case, since the exponents are the same, then 12^3*11^3=(12*11)^3=132^3=2299968

Answer:

1 5/8 feet/year

Step-by-step explanation:

Height tree grew in 10 years

= 36 3/4-20 1/2

= 16 1/4 feet

Rate tree grew in a year

= 16 1/4÷10

= 1 5/8 feet/year

Answer:

2:6 because 2:6 is equivalent to 1:3

Step-by-step explanation:

1x1=1 and 3x2=6

Answer:

y = 4x + 1

Y values increase by 4, X values increase by 1.

M or slope, = 4/1 or 4

Y-intercept is when x = 0

When x = 0 in this case, y = 1.

So,

y = 4x +1

Answer:

y = 4x + 1

Step-by-step explanation:

This is the y = mx + b format, hopefully its useful for you! It's a linear equation because all the values grow at a constant rate.

The y-intercept is 1 and it's rise over run which means that you start at 1 on your y-intercept when graphing and then rise 4 and run 1 to the right because it's a positive slope.

Answer:

proportional

Step-by-step explanation:

because it has a constant ratio

Answer: Proportional

Step-by-step explanation:

The equation for a proportional relationship is y=kx. This equation: y=12x fits the equation, so it's proportional.

Step-by-step explanation:

f ( X) = ( 2X - I ) / 2X ^ 2 - 9X + 10

= 2X-1 ) /( 2X- 5 ) ( x - 2 )

set of zeros of denominator are :

2X- 5 . = 0

X= 5/2

or

X-2=0

X=2

set of zeros of denominator = { 5/2 ,2 }

domain = R - { 5/2,2 }

Answer:

Adjacent = x = length = 6.46 inches

Step-by-step explanation:

Given the width and diagonal of a rectangular postcard,

Find the length using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 7.6 inches

Opposite = 4 inches

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

7.6² = 4² + x²

57.76 = 16 + x²

subtract 16 from both sides

57.76 - 16 = x²

41.76 = x²

Find the square root of both sides

x = √ 41.76

= 6.46

x = 6.46 inches

Adjacent = x = length = 6.46 inches

Answer:

-4

Step-by-step explanation:

The value of the function evaluated at [tex]x = -2[/tex] is -4.

The horizontal axis represents the set of the domain of the function, whereas the vertical axis is for the set of the range of the function. In this exercise, we need to need to find the value on the vertical axis that corresponds with a given value of the horizontal axis ([tex]x = -2[/tex]).

By direct inspection, we conclude that [tex]f(-2) = -4[/tex].

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Answer:huh

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

8-15 = -7

-28 - -42 = 14

-7/14 = -1/2

The revenue last month Kevin, if he sold 18 new books and 21 old books, will be  $ 267.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Kevin is opening up a bookstore, where he sells both new and old books.

He charges $10.75 for a new book and $3.50 for an old book.

Then the revenue last month Kevin, if he sold 18 new books and 21 old books, will be

Then the total revenue will be

Total revenue = 10.75 x 18 + 3.50 x 21

Total revenue = 193.5 + 73.5

Total revenue = $ 267

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Answer:

The component form of the vector that represents the velocity of the airplane is [tex](74.1 i , \ 11.73j)\ mph[/tex]

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

[tex]V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph[/tex]

The horizontal component of the velocity is given by;

[tex]V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph[/tex]

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

[tex](V_x , \ V_y) = (74.1 , \ 11.73)\ mph[/tex]

Answer:

2.149 × 10-5

Step-by-step explanation:

Answer:

[tex]m-n=2[/tex]

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

[tex]f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

[tex]f(x)=a(x-2)^2-4[/tex]

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

[tex]12=a((4)-2)^2-4[/tex]

Solve for a. Subtract within the parentheses:

[tex]12=a(2)^2-4[/tex]

Add 4 to both sides:

[tex]16=a(2)^2[/tex]

Square:

[tex]16=4a[/tex]

Solve:

[tex]a=4[/tex]

Thererfore, the value of a is 4.

So, our function is:

[tex]f(x)=4(x-2)^2-4[/tex]

Now, let’s find our roots. Set the equation to 0 and solve for x:

[tex]0=4(x-2)^2-4[/tex]

[tex]4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1[/tex]

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

Answer:

2

Step-by-step explanation:

Source: AOPS

Answer:

1.5

Step-by-step explanation:

it is one and one half, in other words.

Answer:

36 oz of cream cheese

sugar: 45 divided by 15 equals 3

12 times 3 equals 36

Answer:

7+7=14

Step-by-step explanation:

there is no times in it it's just addition so there for you just need to find what adds up to 14

Answer:

y=14-c

this question is weird