Factorize: (x+y)^2+11 (x+y)+30

Answer:

x = 1, y = 4

Step-by-step explanation:

6x + 5y = 26

2x + 2y = 10

6x + 5y = 26

6x + 6y = 30

-y = -4

y = 4

2x + 8 = 10

2x = 2

x = 1

Answer:

this is the solution of your answer

List all of the elements of each of the given sets are;

a) A ∪ B = {1, 2, a, b, c, d}

b) B ∪ A = {1, 2, a, b, c, d}

c) A ∪ C = {1, 2, a, b}

d) Since there are no common elements in both sets, A ∩ B is an empty set.

e) A ∩ (B \ C) is an empty set.

(a) A ∪ B: To find the union of sets A and B, list all the elements that are in set A or set B or both. A = {1, 2} B = {a, b, c, d} A ∪ B = {1, 2, a, b, c, d}

(b) B ∪ A: The union of sets B and A is the same as the union of sets A and B. B ∪ A = {1, 2, a, b, c, d}

(c) A ∪ C: To find the union of sets A and C, list all the elements that are in set A or set C or both. A = {1, 2} C = {1, a, b} A ∪ C = {1, 2, a, b}

(d) A ∩ B: To find the intersection of sets A and B, list all the elements that are in both set A and set B. A = {1, 2} B = {a, b, c, d} A ∩ B = {} Since there are no common elements in both sets, A ∩ B is an empty set.

(e) A ∩ (B \ C): First, find the difference of sets B and C (B \ C) by listing all the elements that are in B but not in C. B = {a, b, c, d} C = {1, a, b} B \ C = {c, d}

Now, find the intersection of sets A and (B \ C) by listing all the elements that are in both set A and set (B \ C). A = {1, 2} (B \ C) = {c, d} A ∩ (B \ C) = {}

Since there are no common elements in both sets, A ∩ (B \ C) is an empty set.

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Step-by-step explanation:

180-159= 21

21+112= 124

180-124= 56°

x = 56°

Angles in a triangle add up to 180°

Angles in a straight line add up to 180°

Hope this helped!

Another answer:

27°

(another answer has explained it, credits to them)

The correct answer is D) parameter. A parameter is a measurable quantity that is inherent in the problem and is usually set by external factors. A measurable quantity that is inherent in the problem is called a D) parameter.

A parameter is a measurable and fixed value that characterizes a particular aspect of a problem, while a variable can change during the course of the problem-solving process. Decision variables are the unknowns that you need to find in order to optimize a problem, and uncontrollable variables are factors that cannot be controlled during an experiment or problem-solving process. An algorithm is a step-by-step procedure to solve a problem, and an enumeration variable is not a relevant term in this context. Parameters are used to define the boundaries of a problem and are often used in mathematical models to represent real-world situations. They differ from variables, which can change and are often used to represent unknowns in a problem, and from uncontrollable variables, which cannot be directly controlled or manipulated by the decision-maker.

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Answer:

34-158n

Step-by-step explanation:

First factor:

8n+4-150n+30

Then combine like terms

34-158n

Answer:    -142n+34

Step-by-step explanation:(2/3)(12n)+(2/3)(6)+(-15)(10n)+(-15)(-2)

=-142n+34

Answer:

8 years old and Laura is 32

Step-by-step explanation:t

Let the daughter be equal to "x".

Laura would be "4x".

In 16 years Laura will be twice as old can be expressed as this:

4x+16=2(x+16)

Solve:

4x+16=2x+32

2x=16

x=8

Therefore at present time, the daughter is 8 years old and Laura is 32.

hello

the answer to the question is:

A + B = 16

A - B = 2

----> A = 9, B = 7

and the number between them is 8

The reason it is equilateral is because: Triangle BDC is equilateral because arcs BD and BE are two arcs with the same radius and center O.

We have that she drew two arcs that are centered at B. The point of intersection is at DE. This tells us that the chords that connects BD and DE are equal.

DC = EC = BC

This is because the center of the circle is at C

BDE are also points on the circle with length equal to radius

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Similar triangles are those triangles whose corresponding sides are in the same ratio. The triangles that are similar to ΔABC are ΔDEF and ΔJKL.

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.

For two triangles to be similar there sides should be in the same ratio.

For ΔABC ~ ΔMNO,

AB/MN should be equal to BC/NO,

AB/MN = 15/35 = 0.4286

BC/NO = 8/12 = 0.66

Thus, there are not similar triangles.

For ΔABC ~ ΔDEF,

AB/MN should be equal to BC/NO,

AB/DE = 15/22.5 = 0.66

BC/EF = 8/12 = 0.66

Thus, there are similar triangles.

For ΔABC ~ ΔGHI,

AB/GH should be equal to BC/HI,

AB/MN = 15/77 = 0.1948

BC/NO = 8/36 = 0.222

Thus, there are not similar triangles.

For ΔABC ~ ΔJKL,

AB/MN should be equal to BC/NO,

AB/JK = 15/60 = 0.250.25

BC/KL = 8/32 = 0.66

Thus, there are similar triangles.

Hence, the triangles that are similar to ΔABC are ΔDEF and ΔJKL.

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Answer:

y=-4x-3

Step-by-step explanation:

I hope this is correct and have a great day

Answer:

6 x 9 x 4 = 216 in

brainliest pls

Answer:

216 in^3

Step-by-step explanation:

To calculate volume of the box we multiply the given values (height × width × base)

6×9×4 = 216 in^3

Answer: If you were to divide it by 1 pound of turkey it would be 5.30 but there is no finished question

Step-by-step explanation:

Answer:

Ok, but what is the question?

Step-by-step explanation:

Anyways, you should not buy turkey, it is meat.

Answer:

x=(1,5)

z=(8,-4)

y=(-6,-4)

distance of XZ= 11.4

distance of ZY= 14

distance of YX= 11.4

this is an isosceles triangle because the distance between XZ and YX are the same meaning two legs of the triangle have equal length which defines an isosceles triangle

Answer: true

Step-by-step explanation:

1. The value of b is 0 when the angle between v = (b, 2) and w = (-8,-6) is π/4

2. A unit vector perpendicular to the plane = (1/√3, -1/√3, 1/√3)

3.  The equation of the plane containing the line x = -1+t, y = 1 – 2t, z=t    6x + 6y - 18z + 36 = 0

a) Find th value of b when the angle between v = (b, 2) and w = (-8,-6) is π/4.

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

                          θ = π/4

                           tanπ/4 = 1

1 = (-6 - 2) / (-8 - b)

1 = -8 / (-8 - b)

-8 - b = 8

b = -16

(b) PQ = Q - P = (-1 - 2, 1 - 1, 2 - (-1)) = (-3, 0, 3)

PR = R - P = (1 - 2, -1 - 1, 2 - (-1)) = (-1, -2, 3)  

PQ x PR = (0 x 3 - (-2) x 3, (-3) x 3 - (-1) x 3, (-3) x (-2) - 0 x (-1)) = (6, -6, 6)

||PQ x PR|| =√(6² + (-6)² + 6²) =

√(36 + 36 + 36)

=√108

= 6√3

Unit vector perpendicular to the plane

= (6 / (6√3), -6 / (6√3), 6 / (6√3)

= (1/√3, -1/√3, 1/√3)

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An equation is a hyperbola when the locus of a point whose difference in the distances from two fixed points has a constant value.

A hyperbola is a type of smooth curve lying in a plane that is depicted by the geometric properties or by equations for which it is the solution set.

In this case, an equation is a hyperbola when the locus of a point whose difference in the distances between two fixed points has a constant value.

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Answer:

25c

Step-by-step explanation:

The equation of a straight line passing through the given point and slope is y - y1 = m(x - x1).

What is the simple definition of slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Let the given point be (x1,y1).

slope be m.

we know that,

Line equation passing through point is:

y - y1 = m(x - x1)

where m = slope and (x1,y1) = given point.

Therefore The equation of a straight line passing through the given point and slope is  y - y1 = m(x - x1).

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The circumference of a circle after dilation will be 12.56 in.

What is the circumference of a circle?

The overall length of the circle's boundary is referred to as the circumference. The circumference of a circle is its edge or the measurement of its entire arc.

The formula for the circumference of a circle is given:

Circumference of a circle = 2πr

Given, the radius of a circle = 4 in.

The radius after dilatation by a scale factor of one-half (1/2), then

new radius = (1/2)*4 = 2 in.

So, circumference of a circle = 2π * (new radius)

                                                = 2*3.14*2

                                                = 12.56 in.

Hence, the circumference after dilation is 12.56 in.

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Answer:

320 ft from the ground

Step-by-step explanation:

4 seconds= -15ft×4= -60ft

260ft+60ft=320ft

PLZZ MARK AS BRANLIEST

The discriminant is -68. Since the discriminant is negative the roots of the quadratic equation are imaginary values, hence they have no real values.

A quadratic equation's number of roots can be calculated using the discriminant. A discriminant might be zero, negative, or positive. The kind of roots can be identified by knowing the value of a determinant as follows:

The quadratic equation has two actual and distinct solutions if the discriminant value is positive.

The quadratic equation has just one solution or two real and equal solutions if the discriminant value is zero.

There are no actual solutions to the quadratic equation if the discriminant value is negative.

The discriminant is given as:

D = b² - 4ac

In the given equation:

b = -2, a = -3, and c = -6.

D = (-2)² - 4(-3)(-6)

D = 4 - 72

D = -68

The discriminant is -68.

Since the discriminant is negative the roots of the quadratic equation are imaginary values.

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Answer:

-68 and the nonreall is 2

Step-by-step explanation:

You are an scalene triangle.

You are a scalene triangle.

A scalene triangle is a type of triangle where all three sides have different lengths, and no two angles are congruent. In this case, you mentioned that one of the angles has a measure of 100 degrees.

Here's a simple diagram of a scalene triangle to help illustrate:

    \

     \

      \

       \

        \

         \

In the diagram, the angles are not drawn to scale, but it represents a scalene triangle where one angle measures 100 degrees. The sides of the triangle would have different lengths, distinguishing it from an equilateral or isosceles triangle where at least two sides are congruent.

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Answer:

About 36%.

Step-by-step explanation:

The formula for the rate of return on investment is the total value minus the initial cost divided by the initial cost.

The total value is $1,500. The initial cost is $1,100.

(1,500 - 1,100) / 1,100 = 400 / 1,100 = 4 / 11 = 0.363636363636

So, Dean's rate of return on investment is about 36%.

Hope this helps!

Answer:

-5 = -90/18

this will be your answer my friend

V to Inlogic

1. ABCD is a parallelogram

2. AB II CD

3. D is the midpoint of BE

4. AD II BC

5. ∠BAD = ∠CDE

6. AB = CD

7. BD = CE

8. AABD ACDE

A parallelogram is a four-sided shape with two pairs of parallel sides. Its opposite sides are equal in length, and its opposite angles are also equal. Its interior angles add up to 360 degrees. The defining property of a parallelogram is that both pairs of its opposite sides are parallel, meaning they never intersect. This is in contrast to a rectangle, which has four right angles and four sides of equal length, but its opposite sides are not parallel. A parallelogram is also different from a rhombus, which has all sides of equal length, but its opposite sides are not parallel.

Proof:  1. Given: ABCD is a parallelogram

2. Given: AB II CD

3. Given: D is the midpoint of BE

4. Since D is the midpoint of BE, BD = CE

5. Since ABCD is a parallelogram, AD II BC

6. Since AB II CD and AD II BC, ∠BAD = ∠CDE [Angle-Angle Postulate]

7. Since AB II CD and BD = CE, AB = CD [Side-Side-Side Postulate]

8. Therefore, AABD ACDE [Consecutive Angles Postulate]

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According to the question the Statement and the Reasons is given below:

A statement is an assertion or declaration made by a person or group. It is a fact, opinion, or belief that is expressed as a sentence or short phrase. Statements are typically used to communicate ideas, opinions, facts, or beliefs. They can be used to make an argument, express a point of view, or inform someone of something. Statements can be found in a variety of contexts, including speeches, reports, documents, interviews, and conversations.

      Statement                      |                 Reasons.

1. ABCD, AB|CD                    | Given

2. D is the midpoint of BE    | Given

3. AD = DB                            | Definition of midpoint

4. AB + BD = AE                   | Segment addition postulate

5. AB + AD = AE                  | Substitution 3

6. AABD = ACDE                 | Segment addition postulate. Subtraction                
                                              postulate. Substitution 5.

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Answer:

(- 1, - 1 )

Step-by-step explanation:

Given the 2 equations

x = 4y + 3 → (1)

2x + y = - 3 → (2)

Substitute x = 4y + 3 into (2)

2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side

8y + 6 + y = - 3

9y + 6 = - 3 ( subtract 6 from both sides )

9y = - 9 ( divide both sides by 9 )

y = - 1

Substitute y = - 1 into (1) for corresponding value of x

x = 4(- 1) + 3 = - 4 + 3 = - 1

solution is (- 1, - 1 )

Answer:

Population  

Population estimates, July 1, 2019, (V2019) 6,829,174

Population estimates base, April 1, 2010, (V2019) 6,346,276

Population, percent change - April 1, 2010 (estimates base) to July 1, 2019, (V2019) 7.6%

Population, Census, April 1, 2010 6,346,105

Age and Sex  

Persons under 5 years, percent 6.0%

Persons under 18 years, percent 22.1%

Persons 65 years and over, percent 16.7%

Female persons, percent 51.2%

Race and Hispanic Origin  

White alone, percent 78.4%

Black or African American alone, percent(a) 17.1%

American Indian and Alaska Native alone, percent(a) 0.5%

Asian alone, percent(a) 2.0%

Native Hawaiian and Other Pacific Islander alone, percent(a) 0.1%

Two or More Races, percent 2.0%

Hispanic or Latino, percent(b) 5.7%

White alone, not Hispanic or Latino, percent 73.5%

Population Characteristics  

Veterans, 2015-2019 431,274

Foreign born persons, percent, 2015-2019 5.1%

Housing  

Housing units, July 1, 2019, (V2019) 3,028,213

Owner-occupied housing unit rate, 2015-2019 66.3%

Median value of owner-occupied housing units, 2015-2019 $167,200

Median selected monthly owner costs -with a mortgage, 2015-2019 $1,244

Median selected monthly owner costs -without a mortgage, 2015-2019 $388

Median gross rent, 2015-2019 $869

Building permits, 2019 41,361

Families & Living Arrangements  

Households, 2015-2019 2,597,292

Persons per household, 2015-2019 2.52

Living in same house 1 year ago, percent of persons age 1 year+, 2015-2019 85.5%

Language other than English spoken at home, percent of persons age 5 years+, 2015-2019 7.2%

Computer and Internet Use  

Households with a computer, percent, 2015-2019 87.1%

Households with a broadband Internet subscription, percent, 2015-2019 78.4%

Education  

High school graduate or higher, percent of persons age 25 years+, 2015-2019 87.5%

Bachelor's degree or higher, percent of persons age 25 years+, 2015-2019 27.3%

Health  

With a disability, under age 65 years, percent, 2015-2019 11.0%

Persons without health insurance, under age 65 years, percent 12.1%

Economy  

In civilian labor force, total, percent of population age 16 years+, 2015-2019 61.0%

In civilian labor force, female, percent of population age 16 years+, 2015-2019 56.6%

Total accommodation and food services sales, 2012 ($1,000)(c) 12,499,013

Total health care and social assistance receipts/revenue, 2012 ($1,000)(c) 42,383,683

Total manufacturers shipments, 2012 ($1,000)(c) 139,960,482

Total merchant wholesaler sales, 2012 ($1,000)(c) 111,718,421

Total retail sales, 2012 ($1,000)(c) 91,641,605

Total retail sales per capita, 2012(c) $14,194

Transportation  

Mean travel time to work (minutes), workers age 16 years+, 2015-2019 25.2

Income & Poverty  

Median household income (in 2019 dollars), 2015-2019 $53,320

Per capita income in past 12 months (in 2019 dollars), 2015-2019 $29,859

Persons in poverty, percent 13.9%

BUSINESSES

Businesses  

Total employer establishments, 2018 138,269

Total employment, 2018 2,683,214

Total annual payroll, 2018 ($1,000) 125,736,019

Total employment, percent change, 2017-2018 1.3%

Total nonemployer establishments, 2018 539,987

All firms, 2012 550,453

Men-owned firms, 2012 302,249

Women-owned firms, 2012 195,694

Minority-owned firms, 2012 105,234

Nonminority-owned firms, 2012 434,025

Veteran-owned firms, 2012 59,379

Nonveteran-owned firms, 2012 469,392

GEOGRAPHY

Geography  

Population per square mile, 2010 153.9

Land area in square miles, 2010 41,234.90

FIPS Code

Step-by-step explanation:

Answer:

Step-by-step explanation:

Looking at the Venn diagram :

The total number of students surveyed is 7+5+8+6+2+4+3+6 = 41

The number of students that studies physics is = 14

The number of students that studies chemistry is =  21

Probability  = number of favorable outcomes / total number of outcomes

Therefore  the probability that a student chosen at random studies physics and chemistry or both is  35/41 = 0.85

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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