What are the domain and range of the function

Answer:

Assuming a vertical axis of symmetry, the equation would be of the form y = ax^2 + bx + c which can also be written as y = a(x - h)^2 + k. Case 1: If the two points have the same y value, then the axis of symmetry will pass through the midpoint of the segment between them.

Step-by-step explanation:

An equation is formed of two equal expressions. The given equation can be simplified for y as y=(x²-14x+114)/10.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation √[(x-7)²+(y-9)²]=(y-4) can be simplified for y as shown below,

[tex]\sqrt{\left(x\:-\:7\right)^2\:+\:\left(y\:-\:9\right)^2}=\left(y\:-\:4\right)[/tex]

(x - 7)² + (y - 9)² = (y - 4)²

(x - 7)² = (y - 4²) - (y - 9)²

(x² + 49 - 14x) = (y² + 16 - 8y) - (y² + 81 - 18y)

x² + 49 - 14x = y² + 16 - 8y - y² - 81 + 18y

x² + 49 - 14x = 10y - 65

x² - 14x + 49 + 65 = 10y

x² - 14x + 114 = 10y

y = (x² - 14x + 114)/10

Hence, the given equation √[(x-7)²+(y-9)²]=(y-4) can be simplified for y as y=(x²-14x+114)/10.

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Answer:

-414.4 F° and 226.4 F°

hope it helps

Answer:

B. 3

Step-by-step explanation:

we know 2x3 = 6 soo just add 2 zeros = 600

Answer:

Explanation:

⇒ m∠2 = 130°

Then,

⇒ m∠4 = 130° ( vertically opposite angles )

m∠1  + m∠2  + m∠3  + m∠4 = 360°

2(m∠1) = 360° - 130° * 2

⇒ m∠1 = 50°

⇒ m∠3 = 50°

Answer:

m∠1 = 50°

m∠3 = 50°

m∠4 = 130°

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4 = 130°

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ m∠1 + m∠130° = 180°

⇒ m∠1 = 50°

As m∠1 = m∠3 then m∠3 = 50° also

We will see that the expected value for X given that the first number is a 6, is:

E[X|A] = 9.5

We know that X represents the sum of both values. The first value is already 6, so we have that fixed:

X = 6 + p

Now, remember that all the numbers in the dice have the same probability of rolling up, then the expected value of p is:

E(p) = (1 + 2 + 3 + 4 + 5 + 6)*(1/6) = 3.5

Then the expected value of X, given the event A.

E[X|A] = 6 + p = 6 + 3.5 = 9.5

So the expected value for X is 9.5

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Answer:

used formula to find Area of parallelogram

area of parallelogram =b× h

Step-by-step explanation:

solution :

given ,

h = 7cm

b = 9 cm

we know ,

Area of parallelogram = b× h

=63cm²

Answer:

The order of operations says that operations must be done in the following order: parentheses, exponents, multiplication, division, addition, and subtraction. You can also create a little phrase to go along with this, like "Please Excuse My Dear Aunt Sally." Whatever you choose, make sure that you know all six steps of the order of operations very well. The order of operations tells us the order to solve steps in expressions with more than one operation. First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.

Step-by-step explanation:

hope this helps :)

Answer:

josiahs distance from the starting line at a time when shes behind josiah

Step-by-step explanation: got it right in khan

The correct statement according to scenario

Josiah's distance from the starting line at a time when he is behind Chana.

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.

We have,

Josiah's head start = 10 meters from the start

Josiah's speed = 2 m/s

Chana's speed = 3 m/s

Now, the distance travelled as

D= d x s+ t

For Josiah, we have;

D = 10 + 2•t (line a)

For Chana, we have;

D = 0 + 3•t = 3•t (line b)

Thus, Josiah's distance from the starting line at a time when he is behind Chana.

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Answer:

A= 123º

B= 93º

Step-by-step explanation:

A is just a guess.

B is correct though, it is close to 90º but it is greater than 90º

Answer:

Final solution -

[tex]\dashrightarrow \angle \: A = 137\degree \\ \\ \dashrightarrow \angle \:B = 93\degree[/tex]

_____________________________

_____________________________

Additional information -

★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°

★ Angle sum property of quad. ( quadrilateral , any four sided figure ) states that the sum of all the angles of a quadrilateral equals 360°

★ Linear pair of angles are formed when two lines intersect each other at a single point. n number of angles forming a linear pair always have their sum equalling 180°

_____________________________

_____________________________

hope helpful :D

Answer:

y = 76

Step-by-step explanation:

Since x = 4

Substitute:

y = 19(4)

Multiply the numbers

y = 76

~Lenvy~

Answer:

A: 2977.54

B: 7135.84788228

C: 4

D: 6

Step-by-step explanation:

Answer:

[tex]\sqrt[3]{x^2}[/tex]

Step-by-step explanation:

The rule of exponents says that we must use subtraction for [tex]\frac{5}{6}[/tex] and [tex]\frac{1}{6}[/tex] since we are dividing.  

Thus, we have [tex]\frac{x^\frac{5}{6} }{x^\frac{1}{6} }\\\\\frac{5}{6}-\frac{1}{6}=x^\frac{4}{6}=x^\frac{2}{3}[/tex]

When dealing with fractions and radicals, we can find the simplest radical form by using the saying [tex]\frac{exponent}{index}[/tex]

Thus we have [tex]\sqrt[3]{x^2}[/tex]

Answer:

a) (x=6); b) (x= -5.5)

Step-by-step explanation:

find the midpoint of each of the pairs of coordinates.

((x1 + x2)/2 , (y1 +y2)/2)

Find mid points

#1

[tex]\\ \rm\rightarrowtail (\dfrac{3+9}{2},\dfrac{2+2}{2})[/tex]

[tex]\\ \rm\rightarrowtail (\dfrac{12}{2},\dfrac{4}{2}[/tex]

[tex]\\ \rm\rightarrowtail (6,4)[/tex]

We know x is fixed

So Axis of symmetry=x=6

#2

[tex]\\ \rm\rightarrowtail (\dfrac{-11}{3},2)[/tex]

[tex]\\ \rm\rightarrowtail (-5.5,2)[/tex]

Axis of symmetry

The transformation which would create an image and pre image that are similar figures is dilation.

Similarity transformations are transformations where there occurs a dilation with one or more transformations like rotation, reflection or translation.

This is called so because the triangles so formed will be similar figures.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

When the pre image is reflected, rotated or translated, it is not affecting the shape and the size. So the image and the pre image will be congruent.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Dilation enlarges or reduces the size, so they are similar figures.

Hence dilation is the similar transformation.

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Step-by-step explanation:

we cannot read the name of the vertical line through B, but I guess that is "m".

so, if we reflect ("mirror") the line BC across "m", then B stays where it is (on line "m"), and C flips over into A.

therefore, if I understand the question correctly, the second option (line BA) is right.

because the reflected image of line BC is line BA.

Answer:

x=1, y=4

Step-by-step explanation:

sub y=4x into second equation

4x + x=5

5x=5

x=1

now sub x=1 into the first equation

y = 4 x 1

y=4

[tex]========================================[/tex]

is the product of an irrational number and an irrational number always irrational?

We can easily check that by just multiplying some irrational numbers on our calculator.

Let's take

[tex]\pmb{\sqrt{2} }[/tex] times [tex]\pmb{\sqrt{5} }[/tex]

Multiply:-

The result is an irrational number.

Let's try to multiply π times itself.

Once again, we have an [tex]\pmb{irrational}[/tex] number.

Hence, the answer is:-

[tex]\pmb{Always~True}[/tex]

[tex]=========================================[/tex]

Answer:

the answer is option b because the sets in option b have an average of two and above

Answer:

480 in^3

Step-by-step explanation:

Volume = B*h

Base of the triangle = B*h*1/2

= 10*8*1/2

B = 40

Volume = 40*12 = 480

Answer:

99x78=7722

123x56=6888

98x172=16856

900x38=34200

Step-by-step explanation:

Answer:

D. 100

Step-by-step explanation:

Mean = Sum of all numbers divided by the count of all numbers

Mean = 50

Let say that the sum of all numbers = X

50 = X / 4

200 = X

X = (20+30+50) + The 4th Value

200 = 100 + 4th Value

The 4th Value = 100

Answer:

I plotted it out on the graph and here it is:

#4

Refer to the attachment

#2

Mid point:-

Step-by-step explanation:

please mark me as brainlest

[tex] area \: of \: a \: circle \: or \: circular \: object \: = \pir^{2} \\ \: [/tex]

Answer:

1386cm^2.

Step-by-step explanation:

Radius of a circle = diameter / 2

= 42cm /2

= 21cm.

Area = (3.142 *21*21)cm^2

= 1386cm^2

To convert into metres:

=1386/100

=13.86m^2

Answer:

The answer is 18.2 OR 18 1/5

Step-by-step explanation:

Hope it helps

Answer:

The answer of the first on is 15 b because to find the perimeter of 2d shapes we have to add all the sides given ex: 5+5+5=15 so the answer of first question if 15.

Step-by-step explanation:

Answer:

$68

m=48  s=68

Step-by-step explanation:

153-105=48+20=68

Answer:

  (x +10)² +(y +5)² = 9

Step-by-step explanation:

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

The radius of your circle is the distance between the center and the given point. Those points lie on the same horizontal line, so the radius is the difference of their x-coordinates:

  r = (-7) -(-10) = 3

The equation of the circle is ...

  (x -(-10))² +(y -(-5))² = 3²

  (x +10)² +(y +5)² = 9

Answer:

The measure of the diagonals are 10 units each.

Step-by-step explanation:

The diagonals of a rectangle are always equal (Refer to image).

⇒ -2x + 34 = 3x - 26

⇒ -2x + 60 = 3x

⇒ 60 = 5x

⇒ 60/5 = 5x/5

⇒ 12 = x

Now, let's substitute the value of x into any diagonal.

⇒ -2x + 34 = WY

⇒ -2(12) + 34 = WY

⇒ -24 + 34 = WY

⇒ 10 units = WY

Thus, the measure of the diagonals are 10 units each.