Find the inverse function

Answer:

y=-5/3x-2

Step-by-step explanation:

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

m=(-7-3)/(3-(-3))

m=-10/(3+3)

m=-10/6

m=-5/3

y-y1=m(x-x1)

y-3=-5/3(x-(-3))

y-3=-5/3(x+3)

y=-5/3x-15/3+3

y=-5/3x-5+3

y=-5/3x-2

Answer:

the other side is 5 i think

Answer:

4 is in the one thousands place. The 0 is in the hundredths place. The 7 is in the tenths place.

22.72 =22.7

22.85=22.9

22.81=22.8

22.65=22.7

22.75=22.8

22.68=22.7

so the ones that round up to 22.7 or 22.8 are the following

22.72

22.81

22.65

22.75

22.68

In a regular hexagon, where FGHIJK shares a common center with square ABCD on a coordinate plane. ||. It is Across any of the perpendicular bisectors of the sides of the square that the combined figure can reflect onto itself.

In Regular Hexagon FGHIJK, we have 6 lines of reflection across which the hexagon reflects onto itself. Those lines are:

3 perpendicular bisectors of sides i.e. perpendicular bisector of IJ , IH and GH

3 lines passing through vertices i.e. HK, IF and GJ.

While in Square, we have 4 line of reflection across which the square reflects onto itself. Those lines are:

2 perpendicular bisectors of sides AB and BC i.e. HK and perpendicular bisector of CD

2 diagonals of square i.e. AC and BD

Note as well that from figure we know that perpendicular bisector of CD and perpendicular bisector of IJ is the same line.

So, for combined figure we have to take common lines from both figures i.e. perpendicular of sides CD or IJ and line HK.

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Full Question:

Although part of your question is missing, you might be referring to this full question: See the attached image and the questions below.


In a regular hexagon, FGHIJK shares a common center with square ABCD on a coordinate plane. || . Across which lines can the combined figure reflect onto itself?
A. any of the perpendicular bisectors of the sides of the hexagon
B. either diagonal of the square
C. any of the perpendicular bisectors of the sides of the square
D. there are no lines across which this figure can reflect onto itself

Answer:

x by 10

Step-by-step explanation:

the decimal will have to move by one digit

Given that:

Solution

Recall that:

The right-angled triangle with the sides labelled is shown below:

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

C.............

Step-by-step explanation:

Answer:

B, C, E

Step-by-step explanation:

Answer:

C and B

Step-by-step explanation:

The sign means greater than or equal to. -4 is greater than -5, so check that, 5 is definitely greater than -5, so check that.

The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

P(A or B ) = P(A) + P(B)

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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If the value of A is 24 units, B is 10 units in the right angled triangle then the value of C is 26 units.

Given that in a right angled triangle the value of A is 24 units and the value of B is 10 units.

We are required to find the value of C in that right angled triangle.

The triangle which is given is a right angled triangle and in this triangle we have to use pythagoras theorem.

Pythagoras theorem says that the square of hypothesis is equal to the sum of squares of perpendicular and base of that right angled triangle.

\(H^{2} =P^{2} +B^{2}\)--------------1

In this triangle A is perpendicular, B is base and C is hypotenuse.

Using the values in 1.

\(C^{2} =A^{2} +B^{2}\)

C=\(\sqrt{(24)^{2} +(100)^{2} }\)

C=\(\sqrt{576+100}\)

C=\(\sqrt{676}\)

C=26 units

Hence if the value of A is 24 units, B is 10 units in the right angled triangle then the value of C is 26 units.

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Answer

(13+4) + (4.63+7.4)

Step-by-step explanation:

Use the commutative property to put the decimals together. Use the associative property to group the decimals and numbers together as shown in the answer.

The expression (13+4.63)+7.4 written as 22.33

Mathematical statements are called expressions if they have at least two words that are related by an operator and contain either numbers, variables, or both.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

(13+4.63)+7.4

Now, to make it easier we have to split the decimal in such a way that the decimal part and the whole part of number get separated.

(13+4.63)+7.4

=13 + 4 + 0.63 + 7 + 0.4

Now, adding first the whole numbers and then the decimals

=13+ 4+ 4 + (0.63 + 0.7)

=21 + 1.33

=22.33

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Answer. 32

Step-by-step explanation:

20+4+2+6=32

Answer:

.

Step-by-step explanation:

When the edge lengths of a rectangular prism are doubled volume is also doubled

The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Considering that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism.

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid.

We are known that a rectangular prism's volume equals the product of its three dimensions, or volume = length width height.

If the height of the rectangular prism is doubled.

Its volume will be

l w (2h) = 2lwh = 2 v.

As a result, we can conclude that when the height of a rectangular prism doubles, so does its volume also doubled.

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Answer:

30

Step-by-step explanation:

He took 5 pieces.

His children took 5 * 5 pieces = 25

The total is 5 + 25 = 30.

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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The mean absolute deviation of $29, $58, $15, $75, and $22 is $32.67.

The average (mean) distance between each data value and the data set mean is known as the mean absolute deviation, or MAD. The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It provides insight into a dataset's variability.

From tje information, it should be noted that the mean will be:

= (29 + 58 + 15 + 129+ 75 + 22) / 6.

= 54.67

Means absolute deviation = 1/6+25.67 + 3.33 - 39.67 + 74.33 + 20.33 + 32.67)

= 32.67

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Complete question

Find the mean absolute deviation of the fulfilled items on Sherrie's registry: $29, $58, $15, $129, $75 & $22.

Answer:

You need to have both the opposite and adjacent side of the right angled triangle. Tan = Opp/Adj

Step-by-step explanation:

Tangents are pretty much everywhere. A good example is maybe a slide at the playground. You’d need the tangent to figure out the angle of the slide and how it is.

The radius from the center of a circle to the point of tangency point shows that it would be perpendicular to the tangent line considering that anything with a radius is circular and the tangent line is… a line, making it impossible to be parallel.

The inequality is graphed and attached

There are some points that help in interpreting inequality graphs.

the x values are also called the domain lets assume -4 0 4. this is substituted into the equation 3x - 2y > 2 to get the values in the y direction.

3x - 2 > y

y < 3x - 2

for x = -4

y < 3 * -4 - 2 = -14

for x = 0

y < 3 * 0 - 2 = -2

for x = 4

y < 3 * 4 - 2 = 10

table of values

x      y

-4   -14

0     -2

4     10

y < 3x - 2 is the equation

Then use of dashed lines of dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR < hence used for the problem

solid line means there is equality in the inequality  ≤ OR ≥

Another part is the shaded portion

shading above the line defines greater than shading below the line defines less than. The equation has less than and the shading is below the line

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Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer:

y=5/6x+8/3

Step-by-step explanation:

Let's use the slope-intercept form:

y=mx+b

m: slope

b: y-intercept

x and y: x and y coordinate pair

We start by finding the slope.

Slope = (y₂-y₁)/(x₂-x₁)

Slope = (6-1)/(4-(-2)) These are the two points on the line given to us

Slope = 5/6

Now we find the y-intercept:

y=5/6x+b

We can plug in one of the x and y coordinate pairs into the equation:

6=5/6(4)+b

6=10/3+b

b=8/3

Since we have the y-intercept and the slope, we can write the equation:

y=5/6x+8/3

Answer:

Step-by-step explanation:

( - 2 , 1 )

( 4 , 6 )

m = \(\frac{1-6}{-2-4}\) = \(\frac{5}{6}\)

y - 6 = \(\frac{5}{6}\) ( x - 4 )

y = \(\frac{5}{6}\) x - \(\frac{10}{3}\) + 6

y = \(\frac{5}{6}\) x + \(\frac{8}{3}\)

Answer:

The interest charged is $7.49.

After 29 days, Travis paid a total of $607.49

Step-by-step explanation:

Travis obtained a cash advance for $600.

The interest rate is 0.04305% per day.

The simple interest rate formula is given by:

\(I=Prt\)

Where I is the interest, P is the initial amount, r is the rate, and t is the time (in this case in days).

Our initial amount P is $600.

Our interest rate r is 0.04305% or (moving the decimal two places to the left) 0.0004305.

Since Travis repaid the loan after 29 days, our t is 29.

Hence, our interest is:

\(I=600(0.0004305)(29)=7.4907\)

So, the interest charged is about $7.49.

So, after 29 days, Travis paid a total of the original $600 plus an interest of $7.49 for a total of $607.49

Answer:

The interest charged is $7.49.

After 29 days, Travis paid a total of $607.49

Step-by-step explanation:

Travis obtained a cash advance for $600.

The interest rate is 0.04305% per day.

The simple interest rate formula is given by:

→ I=Prt

Where I is the interest, P is the initial amount, r is the rate, and t is the time (in this case in days).

Our initial amount P is $600.

Our interest rate r is 0.04305% or (moving the decimal two places to the left) 0.0004305.

Since Travis repaid the loan after 29 days, our t is 29.

Hence, our interest is:

→ I=600(0.0004305)(29)=7.4907

Answer:

D : { -3, 3, 12}

Step-by-step explanation:

I would suggest substituting the range for the function and solving for x like so.

i.e -6 = 1x-3, -6 + 3 = 1x -3 + 3, -3 = x, x = -3.

0 = 1x - 3, 0 + 3 = 1x - 3 + 3, 3 = x, x = 3.

9 = 1x - 3, 9 + 3 = 1x -3 + 3, 12 = x, x = 12

To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.

The triangular faces have base 5cm and height 12cm, so each one has an area of:

(1/2) x 5cm x 12cm = 30cm²

There are two of these faces, so their combined area is:

2 x 30cm² = 60cm²

The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:

5cm x 10cm = 50cm²

5cm x 13cm = 65cm²

Again, there are two of these faces, so their combined area is:

2 x (50cm² + 65cm²) = 230cm²

Finally, we add up the areas of all the faces to get the total surface area:

60cm² + 230cm² = 290cm²

Therefore, the total surface area of this triangular prism is 290cm².

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

The motorist's rate is:

rate = distance / time

where distance is measured in kilometers and time is measured in hours.

We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:

rate = distance / time = 228 km / 6 hours = 38 km/hour

To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:

time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours

Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.