3.13.R Question:
Which of the following are exponential functions? (select all that apply)

A square and a rectangle have the same perimeter, then the area of the square and the rectangle are the same.

An object's area is how much space it takes up in two dimensions. It is the measurement of the amount of unit squares which completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

Let x be the side of the square,

The length of the rectangle, l = 2x - 4,

The width of the rectangle, w = x - 6,

So, we have: (2x - 4) × (x -6) = x²,

x = 2 (4 + √10)

= 14.32455 cm, it is the side of the square

14.32455 × 2 -4

=24.6491cm, it is the length of the rectangle.

14.32455 - 6

=8.32455cm, it is the width of the rectangle.

24.6481 × 8.32455 = 14.32455²

= 205.19 cm²

Thus, it means that the areas of square and rectangles are similar.

To know more about area:

https://brainly.com/question/27683633

#SPJ1

Answer:

142 degrees

Step-by-step explanation:

we just add the 2 angles we know

74+68

142

Hopes this helps please mark brainliest

8.00 - 3.50 = 4.50

4.50 / .75 = 6

Nataly can travel 6 miles

Answer: b=14

Step-by-step explanation:

we can use three steps

isolate the variable, use inverse operation and do everything on both sides of the equation to keep the equation in balance

if we had 5 back on both sides of the equation:

b-5=9

b= 14

B-5=9

b=9+5

b=14

To get variable b by itself , you add 5 to both sides of the equation.

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

learn more on sector here: https://brainly.com/question/22972014

#SPJ1

Answer (with explanation):

1. Given

2. UY ≅ WY

3. Definition of Midpoint

4(statement). ∠UYX ≅ ∠VYW

4(reason). Side-Angle-Side SAS

5. Vertical Angle Theorem

in most proofs, (almost ALL the proofs) the first reason is always given.

you need given before you do anything.

on 2., the reason is Definition of Midpoint so you can tell it's UY is congruent to WY (uses the theorem)

on 3., it's the other way around and similar to 2. so the answer is definitely Definition of a Midpoint

on 4. statement and reason, you're side UY, angle Y, and side YX to prove that side VY, angle Y, and side YW are congruent. so, use the ∠UYX ≅ ∠VYW with the SAS

and on 5., you use vertical angles to say that ∠UYX reflects to ∠VYW so they are the same (aka congruent)

Answer:

[tex]\large\begin{array}{|l|l|}\cline{1-2}\sf Statement&\sf Reason\\\cline{1-2}1.\;\textsf{$Y$ is the midpoint of $UW$ and $VX$}&1.\;\sf Given\\\cline{1-2}2.\;UY \cong WY & 2.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}3.\;VY \cong XY&3.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}4.\;\angle UYX \cong \angle VYW&4.\; \sf Vertical\;Angle\;Theorem\\\cline{1-2}5.\; \triangle UYX \cong \triangle VYW &5.\;\sf Side-Angle-Side\;(SAS)\\\cline{1-2}\end{array}[/tex]

Step-by-step explanation:

Midpoint

The point that is halfway between the endpoints of the line segment.

Side-Angle-Side (SAS) Congruence Theorem

If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, the triangles are congruent.

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

[tex]\large\begin{array}{|l|l|}\cline{1-2}\sf Statement&\sf Reason\\\cline{1-2}1.\;\textsf{$Y$ is the midpoint of $UW$ and $VX$}&1.\;\sf Given\\\cline{1-2}2.\;UY \cong WY & 2.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}3.\;VY \cong XY&3.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}4.\;\angle UYX \cong \angle VYW&4.\; \sf Vertical\;Angle\;Theorem\\\cline{1-2}5.\; \triangle UYX \cong \triangle VYW &5.\;\sf Side-Angle-Side\;(SAS)\\\cline{1-2}\end{array}[/tex]

Answer:

c, d, f

Step-by-step explanation:

acute angles are small and less then 90 degrees so we know if it’s wide it’s not acute it’s an obtuse angle

Angle a is a right angle because of the box it has which is 90 degrees

Hopes this helps please mark beainliest

Answer:

f, e, c, d

Step-by-step explanation:

Angles that are acute are less than 90 degrees only. Not over, not exactly 90, but only below.

F is an acute angle.

A is a right angle.

B is an obtuse angle.

C is an acute angle.

D is an acute angle.

E is an acute angle.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 14 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

Step-by-step explanation:

The distance between the two points in the line segment A_F is 6.3 units

Distance between two points is the length of the line segment that connects the two given points. Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates. Let us understand the formula to find the distance between two points in a two-dimensional and three-dimensional plane.

The distance between any two points is the length of the line segment joining the points. There is only one line passing through two points. So, the distance between two points can be calculated by finding the length of this line segment connecting the two points.

The data points are;

Distance between points A and F 6.3 units

Learn more distance between two points here;

https://brainly.com/question/28551043

#SPJ1

The median of the wages is class 2,001-3,000 and the modal of the wages is 2,001-3,000

The table of values is given as

Wage                  Number of Employees

1,001-2,000           5

2,001-3,000           9

3,001-4,000          4

4,000-5,000         2

The total frequency is

Total = 5 + 9 + 4 + 2

Evaluate

Total = 20

So, the median position is

Median = (20 + 1)/2 th

Evaluate

Median = 11.5 th

This position is located at class 2,001-3,000

So, the median is wages 2,001-3,000

The table of values is given as

Wage                  Number of Employees

1,001-2,000           5

2,001-3,000           9

3,001-4,000          4

4,000-5,000         2

The mode is the highest frequency of the class

The highest frequency above is 9

So, the modal is wages 2,001-3,000

Read more about median and mode at

https://brainly.com/question/14532771

#SPJ1

A. The signal of each coefficient is given by:

B. The coefficient closest to zero is of B.

C. The coefficient with the least value is of C.

The transformations are vertical stretch/compression of the absolute function.

Then the signal is defined as follows:

The coefficient closest to zero is for the biggest vertical compression, which is of B, for which the graph stretches horizontally and compresses vertically.

The least value is for the biggest reflected stretching, which is in item c, in which the curve has a larger vertical stretch than in item d.

More can be learned about transformations at https://brainly.com/question/28792248

#SPJ1

As per the concept of transformation, there is a single rigid motion that would map triangle WXY to triangle W"X"Y"' is reflection.

Single rigid motion:

Basically, the single rigid motions are also called congruence transformations. Translations, reflections, rotations, and glide reflections are rigid motions.

Given,

Here we have the graph.

And we need to find is there a single rigid motion that would map triangle WXY to triangle W"X"Y"'.

While we looking into the graph, we have identified that, the image of the triangle is moved from one position to another position.

Here we need to identify the Single rigid motion that would map triangle WXY to triangle W"X"Y"',

For that, we have to carefully looking on the image,

So, we have identified that the triangle X"Y"Z" is the mirror reflection of the triangle XYZ.

To know more about Single rigid motion here.

https://brainly.com/question/28173319

#SPJ1

Answer: x = 9/2

Step-by-step explanation:

Given

5(2x + 1) = 50 (divide both sides by 5)

2x + 1 = 10 (subtract 1 from both sides)

2x = 9 (divide both sides by 2)

x = 9/2

The graph of the given inequalities is given below and point (0, −2) is the solution set of the given inequalities.

In thegiven question we have to graph the given system of inequalities and also check that (4, −1) is the solution set of the given system or not.

The given system of inequalities are

2x+8y≥ −16..................(1)

2x−4y< 8..................(2)

taking common 2 from the equation 1, now the system of inequality is

x+4y≥ −8..................(3)
Now graphing the inequalities.

The graph of the given inequalities is given below;

From the given grap we can see that the point (0, −2) is the point in which both given inequalities are meeting. That means (0, −2) is the solution set of the given inequalities

To learn more about inequalities link is here

brainly.com/question/23890086

#SPJ1

The perimeter of triangle ABC = 60 + 20√3  cm

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

In triangle ADB,

sin (30°) = AD/AB

1/2 = ( 10 √3 ) /AB

AB  = 20√3

In triangle ABC,

cos (30°) = AB/BC

√3 /2 =  20√3 / BC

BC = 40

tan (30°) = AC/AB

1/√3 =  AC/ 20√3

AC = 20

Perimeter of triangle ABC =  AB +BC  + AC

                                           = 20√3  +  40  + 20

                                           = 60 + 20√3

To learn more about the perimeter form the link:

https://brainly.com/question/19819849

#SPJ1

Answer:

  y = x³ +x² -20x

Step-by-step explanation:

You want a polynomial with roots x ∈ {0, -5, 4}.

When a polynomial has a root p, it has a factor (x -p). The three given roots mean the polynomial you want can be factored as ...

  y = (x -0)(x -(-5))(x -4) = x(x+5)(x-4)

When this product is expanded, the result is ...

  y = x³ +x² -20x . . . . polynomial with roots {0, -5, 4}

g(x) is a translation of 4 units to the right, so the correct option is a: k = -4.

We know that:

g(x) = f(x + k)

This means that g(x) is a horizontal translation of f(x) of k units.

if k > 0 the translation is to the left.

if k < 0  the translation is to the right.

We know that f(x) passes through (0, 0) and (2, 2)

so f(0) = 0

And g(x) passes through (4, 0) and (-2, 2)

This means that:

g(4) = f(0)

f(4 + k) = f(0)

4 + k  = 0

k = 0 - 4 = -4

The value of k is -4, so the correct option is a.

Learn more about translations:

https://brainly.com/question/24850937

#SPJ1

The linear equation in the list of equations is y = [tex]\frac{1}{2}x + 3[/tex]

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

A linear equation must have the highest power of the independent variable as 1.

option A and C, the independent variable x has degree 2

option D the x variable there stands for absolute values.

So only B is a linear equation since variable x has degree 1

In conclusion, the linear equation is y = [tex]\frac{1}{2}x + 3[/tex]

Learn more about linear equations: https://brainly.com/question/13729904

#SPJ1

The correct options for she walk all together are;

⇒ 12 + 1/4 x 12

⇒ 12 ( 1 + 1/4 )

⇒ 12 x 5/4

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Susan jogged 12 miles.

And, Then she walked 1/4 that distance.

Now,

Since, Susan jogged 12 miles.

And, Then she walked 1/4 that distance.

Hence, Total distance = 12 + 12 x 1/4

                                  = 12 + 3

                                  = 15

Thus, The total distance she walk all together will be 15 miles.

Therefore, The correct options for she walk all together are;

⇒ 12 + 1/4 x 12

⇒ 12 ( 1 + 1/4 )

⇒ 12 x 5/4

Learn more about the multiplication visit:

https://brainly.com/question/13687364

#SPJ1

Answer:

567

Step-by-step explanation:

when you multiply negative with negative the result is always positive.

when you multiply negative with positive the result is always negative.

thus, you have (-3)*21= -63

then

-63*9= 567

Answer: f(x) = -3(x + 3)² + 8

Step-by-step explanation:

(h, k) are the coordinates to the vertex of the graph, which in this case would be (-3, 8), so the function for now would be:

[tex]f(x)=a(x+3)^2+8[/tex]

Plug in the coordinates (0, -19) to find the value of a:

[tex]-19=a(0+3)^2+8\\-19=9a+8\\9a=-19-8\\9a=-27\\a=-3[/tex]

So, the function is f(x) = -3(x + 3)² + 8.

Answer:

okay i'll keep this in mind

Step-by-step explanation:

The area of trapezium is 114.9 units.

What is trapezium?

trapezium could be a convex quadrilateral with specifically one combine of opposite sides parallel to every alternative. multiple star could be a two-dimensional form that seems as a table once drawn on a sheet of paper. In geometry, a quadrilateral is outlined as a polygonal shape with four sides and 4 vertices

Main body:

area of trapezium = (a+b) h/2

where a, b are parallel sides and h is height of trapezium.

according to question :

a= 6.8

h = 9.3

As we know tan a = x/y

tan 40° = 9.3 / y

y = 11.1 units

b = 6.8 +y

b = 6.8+ 11.1

b = 17.9

Put value of a , b , h in formula

area = (17.9 + 6.8) 9.3/2

hence ,area of trapezium is approx = 114.9 units

To know more about trapezium , visit:

https://brainly.com/question/16904048

#SPJ1

Any triangle with two equal sides is said to be isosceles .An equilateral triangle has congruent sides, which means that each side is the same length.

Equilateral refers to a triangle with three equally-sized sides. An isosceles triangle is one that has two equal sides.

An equilateral triangle has congruent sides, which means that each side is the same length. Additionally, each inside angle is identical (60 degrees). The words "equi" and "lateral," which both denote sides, are combined to form the phrase "equilateral." As a result, an equilateral triangle is one with equal sides.

The characteristics of an isosceles triangle are as follows: There is agreement between two sides. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.

To learn more about equilateral and isosceles triangle refer to:

https://brainly.com/question/11434603

#SPJ1

The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

In a geometric sequence,

The third term is 100 and the eighth term is 3.125.

Now,

We know that;

The nth term of geometric sequence is,

⇒ [tex]T_{n} = a r^{n - 1}[/tex]

Hence, The third term is;

⇒ [tex]T_{3} = a r^{3 - 1} = 100[/tex]

⇒ [tex]a r^{2} = 100[/tex]   ..(i)

And, The eighth term is,

⇒ [tex]T_{8} = a r^{8 - 1} = 3.125[/tex]

⇒ [tex]a r^{7} = 3.125[/tex]   ..(ii)

Divide equation (ii) by (i), we get;

⇒ ar⁷ / ar² = 3.125/100

⇒ r⁷ / r² = 3125 / 100000

⇒ r⁷⁻² = 3125 / 100000

⇒ r⁵ = 3125 / 100000

⇒ r = 5/10

Thus, The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

Learn more about the geometric sequence visit:

https://brainly.com/question/25461416

#SPJ1

The equation of the line is x is -6

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

A line's steepness is indicated by its slope. Any line's slope is constant along its length. The direction of the line on the coordinate plane can also be determined by the slope. A line's graph can be used to determine slope, or the coordinates of any two points on a line can be used.

Given ,

m=(y2-y1)/(x2-x1)

Using the points given, we have:

m=(3 - 3)/(-5 - 3) = 0

These would be the vertical lines, and vertical lines have an equation with only x.

So the equation of the line is x = -6.

To learn more about equation of the line refer to:

https://brainly.com/question/18831322

#SPJ1