solve the equation

answer: x=

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:

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

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

Answer:

99x78=7722

123x56=6888

98x172=16856

900x38=34200

Step-by-step explanation:

Answer:

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

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= 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]

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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°

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hope helpful :D

Answer:

c. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-414.4 F° and 226.4 F°

hope it helps

#4

Refer to the attachment

#2

Mid point:-

Step-by-step explanation:

please mark me as brainlest

Answer:

B

Step-by-step explanation:

This statement is false because quadrilaterals just mean a polygon with 4 sides, but a parallelogram is a shape with two sides of opposite length. For example, a scalene quadrilateral has 4 sides, but none are the same length.

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

Answer:

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

Answer:

A: 2977.54

B: 7135.84788228

C: 4

D: 6

Step-by-step explanation:

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:

4 years

Explanation:

[tex]\sf simple \ interest :\dfrac{P * R *T}{100}[/tex]

[tex]\hookrightarrow \sf \dfrac{5000*3*t}{100} = 600[/tex]

[tex]\hookrightarrow \sf {15000*t} = 600(100)[/tex]

[tex]\hookrightarrow \sf t = \dfrac{60000}{15000}[/tex]

[tex]\hookrightarrow \sf t = 4[/tex]

Answer:

The time will be 4 years .

Step-by-step explanation:

Given :

Simple Interest = $600

Principle = $5,000

Rate = 3%

Time = ?

Formula for Simple Interest = P×R×T / 100

=> 5,000 × 3 × T / 100 = 600

=> T = 60,000 / 5,000×3

=> T = 60,000/15000

=> T = 4 years

Answer:

Four and three arithmetic numbers of this equation are then

Step-by-step explanation:

[tex]x = 3 = x = 4 > - 4 > < - 3 = x = 4[/tex]

And the numbers are equal

[tex]x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12[/tex]

Answer: 32.

Step-by-step explanation: Assuming that the first 4 numbers count, the sequence goes as follows:

-6, -4, -2, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, and 32.

Let me know if this is right! :)

Step-by-step explanation:

Identity the variable:

Initial Velocity is 35.

Initial Height is 204

Final Height is 0.

What looking for the time.

So we have

[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]

Use Quadratic Formula,

[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

A is -16, B is 35 , C is 204.

So we have

[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]

[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]

The positve solution is

[tex]4.83[/tex]

So the answer is 4.83 seconds

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.

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:

B. 3

Step-by-step explanation:

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

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:

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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[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:

  (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

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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Answer:

y = 76

Step-by-step explanation:

Since x = 4

Substitute:

y = 19(4)

Multiply the numbers

y = 76

~Lenvy~