Points a, b, and c are collinear. point b is between a and c. suppose ab = x + 4, bc = 2x - 1, and ac = 4x - 7.

Answer:

A:   -1 + 2 log4^x

C: log4 (1/4) + log4 x^2

Step-by-step explanation:

Apply logarithm properties:

log4 (1/4x^2)  =  log4 (1/4) + log4 x^2

Evaluate: log4 (1/4)

log4 (1/4) = -1

Substitute the value back:

-1 + lg4 x^2

Apply logarithm properties:

-1 + 2 log4 ^x

Draw a conclusion:

The expressions equivalent to: log4 (1/4x^2) are:

Answer Choices: A, and C

A= -1 + 2 log4^x

C=  log4 (1/4) + log4 x^2

Hope this helps!

Answer:

Improper Fraction: 15 /2

Mixed Number: 7 1/2

Step-by-step explanation:

You want to add the improper fractions together: 3/2 + 5/2 + 7/2 = 15/2

Answer:

x=7

Step-by-step explanation:

-33 -7x = -2(x+6) -8x

We solve the brackets first so we get,

-33 -7x = -2x -12 -8x

Next add -2x and -8x on the right side

-33 -7x = -10x -12

Bring all the things in the right side to the left

In this process the sign changes from negative to positive so you get

-33 -7x + 10x +12 = 0

Rearrange the terms to make the simplification easy

-33 +12 -7x +10x = 0

Simplify-33+12 and -7x+10x so you get

-21 + 3x = 0

Take -21 to the right side of the equation so

3x =21

Divide both sides by 3 to get the value of x

x=7

Answer:

2m + 22

Step-by-step explanation:

Use the distributive property.

2(m + 11)

2 x m = 2m

2 x 11 = 22

Therefore, 2m + 22

Answer:

O 7x2 + 3y2 - 4x

.........

\(\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}\)

The Correct choice is ~ A

\(\qquad \sf  \dashrightarrow \: 7 {x}^{2} + 3 {y}^{2} - 4x\)

\(\large \boxed{ \mathrm{Step\:\: By\:\:Step\:\:Explanation}}\)

\(\sf  \dashrightarrow \:(12 {x}^{2} - 11y { }^{2} - 13x) - (5 {x}^{2} - 14y { }^{2} - 9x)\)

\(\sf  \dashrightarrow \:12 {x}^{2} - 11y { }^{2} - 13x- 5 {x}^{2} + 14y { }^{2} + 9x\)

\( \sf  \dashrightarrow \: 12 {x}^{2} - 5 {x}^{2} - 11y { }^{2} + 14 {y}^{2} - 13x + 9 \)

\(\sf  \dashrightarrow \: 7 {x}^{2} + 3 {y}^{2} - 4x\)

Answer: Yes

Step-by-step explanation:

because their overall shape it the same, their size is the only thing that sets them apart, so they're not identical

Answer: 4 exercises

Step-by-step explanation:

If we completed 87.5% of the math exercises before dinner, then we have completed 0.875 × total number of exercises.

Let "\(x\)" be the total number of exercises.

\(0.875x = 28\)

Solving for \(x\), we get:

\(\boxed{\begin{minipage}{4 cm}\text{\LARGE 0.875x = 28 } \\\\\\ \large $\Rightarrow$ $\frac{0.875x}{0.875}$ = $\frac{28}{0.875}$\\\\$\Rightarrow$x = 32\end{minipage}}\)

Therefore, the total number of exercises is 32.

We completed 28 exercises before dinner, so we have:  32 - 28 = 4 exercises left to do after dinner.

________________________________________________________

The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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The Electron Geometry Chart is a visual representation of the arrangement of electrons in a molecule. It is used to predict the molecular shape and the bond angles of a molecule based on its electron-group geometry.

Electron geometry is a term used to describe the arrangement of electron groups around a central atom in a molecule. This arrangement is important in determining the molecular shape and the bond angles of the molecule, which can affect its physical and chemical properties.

The Electron Geometry Chart provides a simple and visual way of understanding the arrangement of electrons in a molecule. It shows the number of electron groups surrounding a central atom and the shape that they form.

The chart also shows the bond angles between the electron groups and the central atom, which can be used to predict the molecular shape of the molecule.

The value of the Electron Geometry Chart lies in its ability to help students and scientists understand the relationship between the electron arrangement in a molecule and its molecular shape and bond angles.

By using the chart, students can develop a deeper understanding of molecular geometry and its impact on the physical and chemical properties of a molecule.

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Answer:

Expired Hours Percentage

20.833%

Remaining Hours Percentage 79.167%

Step-by-step explanation:

i just know

Given the expression :

To solve the given expression:

First add the numbers 52 and 8 then divide by 30

so, the result will be as following :

So, the answer is : 2

=========================================================

Also, we need two different word phrases for the expression

The first :

52 increased by 8 then divided by 30

The second :

The Quotient of the sum numbers (52 , 8 ) and 30

- [(2x - cos x) / (2y - cos y)] of the following expressions represents sin x + sin y = x² + y², using the concept of differentiation.

One method is to determine a function's derivative by differentiation. Finding the instantaneous rate of change of a function depending on one of its variables is a technique known as differentiation in mathematics.

Differentiation refers to the process of calculating a function's derivative. The derivative, when applied to two variables x and y, is the rate at which x changes in relation to y. To calculate the immediate rate of change of quantities, differentiation is used.

sin x + sin y = x² + y²

Differentiating w.r.t x

d/dx (sin x + sin y) = d/dx (x² + y²)

or, cos x + cos y dy/dx = 2x + 2y dy/dx

or, cos y dy/dx - 2y dy/dx = 2x - cos x

or, dy/dx (cos y - 2y) = 2x - cos x

or, dy/dx = (2x - cos x) / (cos y - 2y)

or, dy/dx = - [(2x - cos x) / (2y - cos y)]

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Answer:

m= 27

Step-by-step explanation:

m° +66° +m°= 120° (vert. opp. ∠s)

Simplify:

2m° +66°= 120°

2m°= 120° -66°

2m°= 54°

Divide both sides by 2:

m°= 54° ÷2

m°= 27°

m= 27

What are vertically opposite angles?

20flapjacks

Step-by-step explanation:

so this is the answer

Answer:

20 flapjacks

Step-by-step explanation:

Answer:

Option 2, 3, and 4 are correct.

Step-by-step explanation:

To solve a stoichiometry problem, the first thing you must do is identify the given and desired quantities. This involves understanding the balanced chemical equation and determining the substances involved.

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. The given quantities are the information provided in the problem, such as the mass, volume, or moles of a particular substance. The desired quantity is what you are trying to find. By identifying these quantities, you can determine the appropriate conversion factors and set up the necessary calculations to solve the problem.

For example, if the problem gives you the mass of a reactant and asks for the volume of a product, you would start by identifying the given mass and the desired volume. From the balanced chemical equation, you can determine the molar ratio between the reactant and product. This ratio allows you to convert the given mass to moles, and then use the molar ratio to convert moles of the reactant to moles of the product. Finally, you can convert the moles of the product to the desired volume using the appropriate conversion factor, such as the molar volume of a gas at a given temperature and pressure.

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A line segment in geometry is the part of a line which is bounded by two distinct end points.

Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.

A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.

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Answer:

B.The slope is approximately 1.33 and the y-intercept is 2.

Step-by-step explanation:

On the graph we are going based off where the line starts and in this case it starts on the y line and that shows our y-intercept is 2. The line also doesn't have a rate of change that is directly being put onto an intersecting point like (2,2) which would make it a decimal 1.33.

Answer:

B. The slope is approximately 1.33 and the y-intercept is 2.

Step-by-step explanation:

We can eliminate answers C and D because the y-intercept is 2.

The slop is approximately 1.33 because if we go over 1 unit, we must go up approximately 1.33 units to follow the line.

Let us set up the following variables:

⎧

⎪

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎪

⎩

l

Length of Rectangle (cm)

w

Width of Rectangle (cm)

A

Area of Rectangle (

c

m

2

)

t

Time (s)

We are told that:

d

l

d

t

=

8

cm/s (const), and,

d

w

d

t

=

3

cm/s (const)

The Area of the rectangle is:

A

=

l

w

Differentiating wrt

t

(using the product rule) we get;

d

A

d

t

=

(

l

)

(

d

w

d

t

)

+

(

d

l

d

t

)

(

w

)

∴

d

A

d

t

=

3

l

+

8

w

So when

l

=

20

and

w

=

10

⇒

d

A

d

t

=

3

⋅

20

+

8

⋅

10

∴

d

A

d

t

=

60

+

80

∴

d

A

d

t

=

140

cm

2

/

s

Answer:

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Step-by-step explanation:

sssssssssssssssssssssssss

The equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0

A polynomial is an algebraic equation with at least the power of its variable 3.

Analysis:

if -2, -6, -10i are the zeroes of the polynomial, it means x = -2, x = -6, x = -10i

if x = -2, (x+2) is a factor, (x+6) is a factor.

convert x = -10i to a real number,

i = \(\sqrt{-1}\)

-10\(\sqrt{-1}\) = 10\(\sqrt{- -1}\) = 10\(\sqrt{1}\) = 10

x = 10, so (x-10) is a factor.

Therefore equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0

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Answer: 2x, x^3, 3x^4, 4x^5, 34

Step-by-step explanation:

Standard form starts with the lowest degree to the highest, then ends with any naked numbers

Answer:

\(n = 100\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

Step-by-step explanation:

137/54=c/1

c=$2.537

c=$2.54 (to nearest cent)

Step-by-step explanation:

the general equation of a parabola in a "y = ..." orientation is

y = a(x – h)² + k

where (h, k) is the vertex.

the axis of symmetry is

x = h

and for the form

y = ax²+ bx + c

this means

x = - b/(2a)

we have here

y = 3x² + 6x - 2

so we get the axis of symmetry directly :

x = -6/(2×3) = -6/6 = -1

x = -1

and we know x = h.

so we have

y = 3(x + 1)² + k = 3(x² + 2x + 1) + k =

= 3x² + 6x + 3 + k

comparing it to our original equation we see

3 + k = -2

k = -5

so, the vertex is

(-1, -5)

Answer:

See the answer below.

Step-by-step explanation:

These two circles are similar objects.

The ratio of a corresponding part is a: b.

The area ratio is a²: b²  and the volume ratio is a³ : b³

Therefore  if AE : CD which is 2:3

The area ratio  4 :9

The volume ratio is 8: 27

The relation between both circles is the area of circles in ratio to the radius and both circles are similar circles.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circle objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Given two circle

Circle 1 = radius 2

Circle 2 = radius 3

All circles are similar objects so their area ratio is radius ratio.

(Area of circle 1)/(Area of circle 2) = (radius 1)/(radius 2)

(Area of circle 1)/(Area of circle 2) = 4/9 = 2/3

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The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.

Let us consider 'n' be the number of sides of the regular polygon.

Let 'y' be the measure of each of the exterior angle of regular polygon.

y = 30 degrees

Measure of each of the exterior angle of regular polygon 'y'

= ( 360° ) / n

⇒ n = ( 360° / y )

Substitute the value we get,

⇒ n = ( 360° / 30° )

⇒ n = 12

Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.

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The above question is incomplete, the complete question is:

How many sides does a regular polygon have when each exterior angle measures 30 degrees?

Best describe a parallelogram with diagonals that are perpendicular is rectangle.

A parallelogram with diagonals that are perpendicular is called a rectangle. A rectangle is a special type of parallelogram that has four right angles. This means that the diagonals of a rectangle are perpendicular to each other, and they bisect each other.

In addition to having perpendicular diagonals, a rectangle has other unique properties. Its opposite sides are congruent and parallel, and all angles are right angles. The diagonals of a rectangle have the same length, and they divide the rectangle into four congruent right triangles.

The properties of a rectangle make it a useful shape for many practical applications. For example, rectangular shapes are commonly used in building construction, furniture design, and graphic design. The perpendicular diagonals of a rectangle also make it useful for geometric proofs and calculations.a

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Answer:

B

Step-by-step explanation:

On a coordinate plane, parallel lines have the same slope as geometric figures are true. Thus option B is correct.

Marks, splines, spheres, and curved are used to build enclosed geometric shapes. We can see these shapes all around us. Illustrations of geometric shapes include circles, rectangles, triangles, and others. Any configuration of points, columns, or angles is a geometry figure.

A point is the most fundamental algebraic concept because it has no boundaries. Simply put, a point upon that plane is a location. A dot is used to symbolize it. A plane can be identified by three non-straight-line points.

As two or much more vectors seldom cross each other and are located on the same dimension, these are said to be parallel. The slope of these lines is constant. Coplanar lines that seem to be parallel are the ones that don't cross. Therefore, option B is the correct option.

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Answer:

91%

Step-by-step explanation:

182/200 = .91

.91 = 91%

Hope that helps!

The percentage of questions Xin answered correctly on the final exam is 91% if he answered the number of 182 questions correctly on her multiple choice.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

Total number of problems = 200

Total number of Xin answered correctly = 182

Then the percentage of questions XIn answers correctly:

\(= \frac{182}{200} \times100\)

= 0.91×100

= 91 %

Thus, the percentage of questions Xin answered correctly on the final exam is 91% if he answered the number of 182 questions correctly on her multiple choice.

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