Find the slope of a line perpendicular to the line whose equation is x - 6y =24. fully simplfy your answer

Answer: 2y+18

Step-by-step explanation:

(y+9)2

=2*y + 2*9

=2y + 18

Answer:

2y + 18 is the answer your looking for.

The angle measure indicated is 137° from the given figure.

What is area of circle ?

area of circle can be defined as the product of pi and square of radius of a circle.

We know that the length of tangents which are drawn from an external point are equal.

PA = PB

The tangent at any point on the circle is perpendicular to the radius of the circle through the point of contact.

OB ⊥ PB and OA ⊥ PA

∠PBO = 90°, ∠PAO = 90°

The sum of all the angles in a quadrilateral is 360°.

In the quadrilateral PAOB

∠APB + ∠PAO + ∠PBO + ∠AOB = 360°

43° + 90° + 90° + ∠AOB = 360°

∠AOB = 360° - 223°

∠AOB = 137°

Therefore, the angle measure indicated is 137°.

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Answer:

Find the quotient.

0.525/0.3675

Step-by-step explanation:

1.4285714286

Answer: 1.42

Step-by-step explanation:

Look at attachment

Considering the given figure, with circumcenter at N. The dimensions are solved to be

HN = 130

LJ = 126

GJ = 168

The unknown dimensions is calculated as follows

Solving for HN

Considering the problem, the hypotenuse of each of the right triangles are equal

HN = GN = JN = 130

Solving for LJ using Pythagoras theorem.

the formula of the theorem is

hypotenuse² = opposite² + adjacent²

JN² = LN² + LJ²

130² = 32² + LJ²

LJ² = 130² - 32²

LJ² = 15876

LJ = √15876

LJ = 126

solving for GJ

GK + KJ = GJ

GK = KJ - angle bisector theorem

GK + GK = GJ

2GK = GJ

GJ = 2 * 84

GJ = 168

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In order to summarize qualitative data, a useful tool is a frequency distribution.

Frequency distribution is a table or graph that shows the number of occurrences of each unique value or range of values in a dataset. It is a way of summarizing and organizing a set of data by grouping them into mutually exclusive classes or bins and counting the number of observations in each class. The resulting table or graph is called a frequency table or frequency distribution. The classes or bins are often defined based on the scale of measurement of the variable, such as intervals for continuous variables or categories for categorical variables. Frequency distribution is a useful tool for understanding the distribution of a variable and identifying patterns or outliers in the data.

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Step-by-step explanation:

Steps of construction :

1. Draw a line segment AB=4.2 cm.

2. At A, draw an angle of 90

∘

.

3. From B, draw an arc of radius 8.2 cm which cuts the line segment at C.

Hence, ΔABC is the required triangle.

1 have only one real fifth root.And the root is 1

The fifth root of a number is the number that would have to be multiplied by itself 5 times to get the original number. For example, the fifth root of 243 is 3 as 3 x 3 x 3 x 3 x 3 is 243. Another example is fifth root of 32 which is 2. i.e 2×2×2×2×2 = 32

Unlike the even roots like square root fourth root and 6 root that has 2 real roots as solutions, e.g fourth root of 256 is ± 4. This mean multiplying -4 in four places and + 4 in four places will give 256, odd roots like fifth root, cube root only have one root.

The fifth root of 1 is 1.i.e 1×1×1×1×1 = 1

Therefore the fifth root of 1 has only one real root.

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Answer: R(-6.5, 2)

Step-by-step explanation:

Given: M(-1,-3)  Q(4.5, -8)       R(x,y)=?

The coordinates of the point in the middle of the segment are equal to the arithmetic mean of the coordinates of its ends

[tex]\displaystyle\\Hence,\ x_M=\frac{x_Q+x_R}{2}\\\\-1=\frac{4.5+x_R}{2} \\[/tex]

Multiply both parts of the equation by 2:

[tex]-2=4.5+x_R\\\\-2-4,5=4.5+x_R-4.5\\\\-6.5=x_R\\\\Thus,\ x_R=-6.5[/tex]

[tex]\displaystyle\\y_M=\frac{y_Q+y_R}{2} \\\\-3=\frac{-8+y_R}{2}[/tex]

Multiply both parts of the equation by 2:

[tex]-6=-8+y_R\\\\-6+8=-8+y_R+8\\\\2=y_R\\\\Thus,\ y_R=2[/tex]

[tex]So,\ R(-6.5,2)[/tex]

Answer:

RM 600

Step-by-step explanation:

1 unit -> bought for RM 2.50

             sold for RM 3.10

Selling price is higher than buying price, hence a profit is made.

Profit (for 1 unit) = Selling price - Buying Price

                           = RM 3.10 - RM 2.50

                           = RM 0.60

Since Deeni bought 1000 units of stock,

Profit Obtained = 1000 x RM 0.60

                           = RM 600

Answer:

She has bought enough.

Step-by-step explanation:

Sue's 2 cats eat a total of

Cats * Eat a Day = Daily

2 * 1/4 = 1/2

tins of cat food per day. Therefore, they will eat a total of

Daily * Day = Total Needed

1/2 * 14 = 7

tins of cat food in 14 days. Since Sue has bought 8 tins of cat food, she has bought enough to feed her 2 cats for 14 days.

yes she has bought enough food to feed her cats for 14 days

if one cats eats 1/4 can each day then it will b 2/4 for one whole day for 2 cats

2/4 cans x 14 days

1 can lasts for 2 days

so 7 cans last for 14 days

The number of sessions when the plans would cost the same is 22. The cost of the plan is $1,505.

The linear equations that represent the total cost of using a personal trainer would have this form:

consultation fee + (cost per session x number of sessions)

The linear equation that represents the first plan : $9 + ($68 x s)

= $9 + $68x

The linear equation that represents the second plan : $75 + ($65 x s)

= $75 + $65s

When the two plans have the same cost, the two above equations would be equal

$75 + $65s = $9 + $68s

In order to determine the value of s, take the following steps:

Combine similar terms together : $75 - $9 = $68s - $65s

Add similar terms together: $66 = $3s

Divide both sides of the equation by $3

s = $66 / 3

s = 22

Cost when the two plans have the same cost = $9 + (22 x 68)

= $9 + 1496

= $1,505

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The volume of water can fit in the pipe round your answer to the nearest tenth of a cubic centimeter is 2009. 60 cm³

The formula for determining the volume of a pipe is expressed as;

V = πr²l

Given that;

To determine the radius of the pipe, we have;

Radius = inner diameter/2

Substitute the values

Radius = 8/2 = 4cm

Now, substitute the values

Volume = (3.14)× (4)² × 40

expand the bracket

Volume = 2009. 60 cm³

Hence, the value is 2009. 60 cm³

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Answer:

x = e - 1    or   1.718

Step-by-step explanation:

In(x + 1) = 1

e^1 = x + 1

This can be rewritten as

x + 1 = e

Subtract 1 from both sides

x = e - 1

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Data collected over several time periods is referred to as:

a. time series data

Time series data is a set of data points collected at regular intervals of time. It is used to track changes in a certain variable over time, and can be used to analyze trends, patterns, and predictions about future events.

Time series data is often collected in fields such as finance, economics, and statistics, and can be used for tasks such as forecasting stock prices, understanding economic indicators, and analyzing sensor data.

It is important to note that time series data is different from cross-sectional data, which is a snapshot of data collected at a single point in time.

Time series data can be analyzed using statistical and machine learning techniques such as time series decomposition, ARIMA, and LSTM to extract meaningful insights and make accurate predictions. Time series data can also be visualized using line plots, bar plots, and heat maps to help identify trends and patterns in the data.

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The sum of the coefficients m, n, p and q is given as follows:

m + n + p + q = 80.

The cube of a binomial can involve both addition and subtraction, as presented as follows:

For the first expression, we have that:

(x + 2)³ = x³ + 6x² + 12x + 8.

Hence the coefficients m and n are given as follows:

m = 12, n = 8.

For the second expression, we have that:

(x - 5)³ = x³ - 15x² + 75x - 125.

Hence the coefficients p and q are given as follows:

p = -15, q = 75.

Then the sum of the four coefficients is obtained as follows:

m + n + p + q = 12 + 8 - 15 + 75 = 80.

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Answer:

9 wr

Step-by-step explanation:

Answer:

9y

Step-by-step explanation:

4+3+2 then you have to add the (y) next

An acute triangle is made up of three acute angles. An obtuse triangle is formed by one acute angle and two obtuse angles.

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. In Euclidean geometry, any three points identify a distinct triangle and, concurrently, a distinct plane if they are not collinear.

Three acute angles make up an acute triangle. One obtuse angle and two acute angles make form an obtuse triangle. Because in Euclidean geometry all angles in a triangle must be 180 degrees, a triangle cannot contain more than one obtuse angle.

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Answer:

6x^3

x^2

Canceling the power we get

6x

1

Hence the answer is 6x

There are 7 probability combinations of one algebra and one geometry course a student can choose from: a1, a2, a3, a4, g1, g2, g3.

1. Count the number of algebra courses

(a1, a2, a3, a4): 4

2. Count the number of geometry courses

(g1, g2, g3): 3

3. Add the number of algebra courses and the number of geometry courses: 4 + 3 = 7

4. The student has 7 options to choose at least one course.

A student can choose from 4 algebra courses (a1, a2, a3, a4) and 3 geometry courses (g1, g2, g3). The student can take at most one algebra course and at most one geometry course. If the student wants to take at least one course, they have 7 options to choose from. This is because there are 4 algebra courses and 3 geometry courses, so the total number of courses the student can choose from is 4 + 3 = 7. The 7 options include all the algebra courses (a1, a2, a3, a4) and all the geometry courses (g1, g2, g3). The student can choose any combination of one algebra course and one geometry course, such as a1 and g2, or a4 and g3. This means that the student has 7 options to choose from if they want to take at least one course.

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Upon solving the word problem, Following are the variable in the quantities, The number of evenings Jenny works on homework is 7 days a week

The number of classes Jenny is taking is five

The number of days Jenny plays softball is three

The number of days Jenny meets with her after-school clubs is two.

In a word problem, rather than using mathematical notation, the majority of the issue's context is provided through spoken words.

A math word problem is a question that is written as one or more sentences and challenges students to apply their knowledge of mathematics to a "real world" problem. Kids need to be familiar with the vocabulary associated with the mathematical symbols they are used to in order to comprehend the word problem.

A typical kind of word problem is a mathematical modeling issue, where information and specifics about a particular system are given, and the student is asked to build a model. For instance, Jane spent $2 of her $5.

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The area of the irregular polygon, given the height of the polygon, and the inside space, is B. 50 inch ²

To find the area of the irregular polygon, first find the area of the entire rectangle that the polygon is inside which would be :

= Length x Height

= 10 x 12

= 120 inch ²

Then, find the area of the two rectangular spaces in the irregular polygon that make it irregular which is :
= Length x Width

= 7 x 5

= 35 inch ²

For the two rectangles :

= 35 x 2

= 70 inch ²

This means that the area of the irregular polygon is :

= Area of largest rectangle - Area of two smaller rectangles

= 120 - 70

= 50 inch ²

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The surface area of the triangular prisms are:

1. 116 cm²

2. 82 cm².

To find the surface area of the triangular prism, add the areas of all the faces or shapes that make up the net of the triangular prism.

Problem 1: The triangular prism net consists of 2 identical rectangles, 2 identical triangles and 1 different rectangle.

Area of rectangle = length * width

Area of triangle = 1/2(base * height)

Therefore:

Area of the two identical rectangles = 2(7 * 4) = 56 cm²

Area of the larger rectangle = 6 * 7 = 42 cm²

Area of the two identical triangles = (6 * 3) = 18 cm²

The surface area= 56 + 42 + 18 = 116 cm²

Problem 2:

Area of the rectangle 1 = 6 * 3 = 18 cm²

Area of the rectangle 2 = 6 * 4 = 24 cm²

Area of the rectangle 3 = 6 * 5 = 30 cm²

Area of the two identical triangles = (5 * 2) = 10 cm²

The surface area = 18 + 24 + 30 + 10 = 82 cm²

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In this case, y1 = 15 and x1 = -4. Substituting these values into the point-slope form, we get: y - 15 = 2(x - (-4)) , Simplifying, we get: y = 2x + 21

y = 2x + 21

To find the equation of the line that passes through the point (-4, 15) and is perpendicular to y = -2x - 9, we can use the slope formula.

The slope of the line y = -2x - 9 is m = -2. The slope of a perpendicular line is the negative reciprocal of m, or m = 2.

We can use the point-slope form of a line to find the equation of the line. The point-slope form of a line is y - y1 = m(x - x1).

In this case, y1 = 15 and x1 = -4. Substituting these values into the point-slope form, we get:

y - 15 = 2(x - (-4))

Simplifying, we get:

y = 2x + 21

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The third side of the right angle triangle is 3 units.

A right triangle is a triangle that has one of it angles as 90 degrees. The sum of angles in a right triangle is 180 degrees.

The sides of a right triangle can be found using Pythagoras's theorem. Therefore,

c² = a² + b²

where

Therefore, let's find the third side of the right triangle.

Using Pythagoras's theorem,

6² - (3√3)² = b²

36 - 27 = b²

b = √9

b = 3 units

Therefore,

third side = 3 units

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Volume of 19.6 g of a liquid that has a density of 0.967 g/ml is 20.3

Volume and density are connected by a particular substance's mass. The relationship between mass and volume can be easily determined using density; for example, the mass of a body is equal to its volume multiplied by the density (M = Vd), whereas the volume is equal to the mass divided by the density (V = M/d).

Density decreases when volume increases without accompanying increases in mass.

here,

Density = mass/volume

or, Volume = mass/density

or, volume = 1.96g/0.967 g/ml

or, volume = 20.268 ml (nearly equal to 20.3)

so, Volume of 19.6 g of a liquid that has a density of 0.967 g/ml is 20.3

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The triangle in the figure is an obtuse triangle

There are three main types of triangles: right triangles, acute triangles, and obtuse triangles. Right triangles have one angle that is 90 degrees, while acute triangles have all angles less than 90 degrees, and obtuse triangles have one angle that is greater than 90 degrees. A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all interior angles, however, is always equal to 180 degrees.

In this triangle, we have one of the sides greater than 90 degrees.

This makes the triangle an obtuse triangle.

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The monthly paycheck for state income tax is $11,573.33

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

Annual Gross pay = $555,520

He is married with 4 dependents.

So, every month he earns:

monthly earnings = 555,520/12

                               = $46,293.33

Also, he has 4 dependents

= $46,293.33 /4

= $11,573.33

Thus, the paycheck is $11,573.33.

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Answer:
20.02

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Explain:

If you increase the number 14 by 43%, you would get
14 + (14 * 43%) = 14 + 6.02 = 20.02.