use the gcf and the distributive property to find the sum of 26 + 39

9514 1404 393

Answer:

Step-by-step explanation:

Start by getting the x-terms on one side of the equal sign. We can do that by subtracting x from both sides.

  3 = x² +2x

Now, add the square of half the x-coefficient.

  3 +1 = x² +2x +1

  (x +1)² = 4 . . . . . . . . write as a square in the desired form

__

To solve, take the square root, and add the opposite of the left-side constant.

  x +1 = ±2

  x = -1 ±2 . . . . . . matches choice (D)

Answer:

\(herre \: total \: angle \: in \: circle = 360 \\ then \\ \: 6x + 1 + x - 19 + 35 = 360 \\ 7x - 18 + 35 = 360 \\ 7x + 17 = 360 \\ 7x = 343 \\ x = \frac{343}{7} = 49 \\ x = 49degree \\ thank \: you\)

6x + 1° + x - 19° + 35° = 360°

6x + x + 1° - 19° + 35° = 360°

7x + 1° - 19° + 35° = 360°

7x + (-18)° + 35° = 360°

7x + 17° = 360°

7x = 360° - 17°

7x = 343°

x = 343° : 7

x = 49°

Answer:

9x^3

Step-by-step explanation:

5x^3 + 4x^3

Since these are like terms

x^3 (5+4)

9x^3

Answer:

\(9x^3\)

Step-by-step explanation:

\(5x^3 + 4x^3\)

Add the like terms.

\(=9x^3\)

The number will be 6,125.Given, we need to form a four-digit number using the digits 1, 2, 3, and 4. The number should satisfy the following conditions:The thousands digit is three times the tens digit.The hundreds digit is one more than the units digit.The sum of all four digits is 10.

To find: The four-digit number

Solution:Let us assume the digit in the unit place to be x.∴ The digit in the hundredth place will be x + 1∴ The digit in the tenth place will be a.

Let the digit in the thousandth place be 3a∴ According to the given conditions a + 3a + (x + 1) + x = 10⇒ 4a + 2x + 1 = 10⇒ 4a + 2x = 9……(1)

Now, the value of a can be 1, 2, or 3 because 4 can’t be the thousandth place digit as it will make the number more than 4000.Using equation (1),Let a = 1⇒ 4 × 1 + 2x = 9⇒ 2x = 5, which is not possible∴ a ≠ 1

Similarly,Let a = 3⇒ 4 × 3 + 2x = 9⇒ 2x = −3, which is not possible∴ a ≠ 3

Let a = 2⇒ 4 × 2 + 2x = 9⇒ 2x = 1⇒ x = 1/2Hence, the number will be 6,125. Answer: The four-digit number will be 6,125.

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Answer:

C

Step-by-step explanation:

Data Set I is multiplicative because

x y

------------

0×2 = 0

1×2 = 2

2×2 = 4

etc.

Data Set II is additive because

x y

--------------

0+2 = 2

1+2 = 3

2+2 = 4

etc.

Answer: C

Step-by-step explanation: Hi there.

To answer this question, we need to look closely at the data tables and answers.

A cannot be right. If the relationship is additive, that means that an input x is being added to a number to get a certain number y. If the relationship is multiplicative, that means an input x is being multiplied by number to get a certain number y. The relationship cannot be additive if the input is being multiplied (and vice versa) because it does not make sense.

B cannot be right. (See A for reason)

D cannot be right. (See A for reason)

C is right. It states that Data Set I is multiplicative because y is 2 times x, and the relationship for Data Set II is additive because y is two more than x. Every x value in Data Set I is being multiplied by 2 to get y (just divide y by 2 to check), and every x value in Data Set II has 2 added to it to get y (just subtract y by 2 to check). It also gets it right that Data Set I is multiplicative and Data Set II is additive.

Have a nice day! :)

The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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When a sprinkler head is installed on a finished ceiling or wall, a(n) escutcheon is required and may be included as part of the listed assembly or as a decorative touch.

An escutcheon is a protective and decorative cover that is used when a sprinkler head is installed on a finished ceiling or wall. It is designed to conceal the gap between the sprinkler head and the surrounding surface, providing a neat and finished appearance. The installation of an escutcheon is necessary for several reasons. First, it helps to prevent the accumulation of dust, dirt, or debris around the sprinkler head, which could potentially interfere with its functions.

By covering the gap, the escutcheon acts as a barrier, keeping the area clean and maintaining the proper operation of the sprinkler system. Secondly, the escutcheon serves an aesthetic purpose. It enhances the overall appearance of the sprinkler head installation, making it visually appealing and blending it seamlessly with the surrounding ceiling or wall.

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Answer:

so to find the weight of this years model we do this

645*0.8=516

so the answer is 516

Hope This Helps!!!

Answer:

3 tiles

because 1/4+1/4+1/4=3/4

I hope this helps you!

Answer:

10

Step-by-step explanation:

say x=0

then y would be 1

increasing x by 5 makes x=5

and then 5 x 2 + 1=11

so y went from 1-11(difference of 10) with the variation

so the answer is 10

The weaker form of Theorem 35.4 in Cormen's Introduction to Algorithms states that the cardinality of a set C is less than or equal to the cardinality of the set C* multiplied by the maximum cardinality of any subset S in the set of all subsets F. This weaker form can be easily proven by considering the definition of cardinality and the properties of subsets.

To prove the weaker form of Theorem 35.4, we need to show that |C| <= |C*| * max { |S| : S in F }.

1. By definition, the cardinality of a set C, denoted as |C|, represents the number of elements in C. Similarly, |C*| denotes the number of elements in the set C*.

2. Consider any subset S in the set of all subsets F. The cardinality of S, denoted as |S|, represents the number of elements in S.

3. We are asked to find the maximum cardinality of any subset S in F, which can be expressed as max { |S| : S in F }. Let's denote this value as M.

4. Now, we need to prove that |C| <= |C*| * M. Since C* is a subset of C, we can conclude that |C*| <= |C|. Additionally, since M represents the maximum cardinality of any subset in F, we have |S| <= M for all subsets S in F.

5. Combining these inequalities, we can say that |C*| * |S| <= |C| * M for all subsets S in F.

6. As |C*| * |S| represents the maximum possible value for |C*| * M, we can conclude that |C| <= |C*| * M.

Therefore, the weaker form of Theorem 35.4 is trivially true, as we have shown that |C| is indeed less than or equal to |C*| multiplied by the maximum cardinality of any subset S in F.

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Answer:

10 servings

Step-by-step explanation:

The amount of broth needed for 8 servings is 2 quarts. Adding 0.5 would be adding 25% more servings. 25% of 8 is 2. So we add 8 + 2 to get 10. So, with 2.5 quarts of broth, we can make 10 servings of chicken noodle soup

Answer:

Step-by-step explanation:

Let the number of servings is x

Given

Build a ratio and solve for x:

Correct choice is B

To divide a complex a+ib by a complex number c+id we have to multiply the numerator and denominator by the complex conjugate of the denominator of the original fraction; after that we make the operations.

With this in mind in this case we have:

Therefore the result of the division given is:

Answer:

x  ≥  21

Hope this helps!

Answer:

plz give the other person brain thingy :D

Step-by-step explanation:

Answer: The one on the bottom right.

Step-by-step explanation:

Symmetry is basically like a mirror. The line of symmetry is the exact point where it starts to reflect.

A symmetrical shape can also be folded onto itself equally.

Looking at the photo, the picture on the bottom right is the left part of the figure.

Answer:

2 cos (x + pi/2)

Step-by-step explanation:

Of the choices given, this looks like a cos curve that is shifted to the Left by pi / 2  and   multiplied to give an amplitude of 2

Answer:

2000

Step-by-step explanation:

Number of shares after split is 5/2 times the pre split value =800*5/2 = 2000

Answer:

-3.5

Step-by-step explanation:

-4x-1+1≤ 13+1

-4x/-4 ≤ 14/-4

x≤ -3.5

Answer:

I'm pretty sure figure A is the only one correct and also figure D

The scale factor of the given parameters will be 1.75 and the length of qy is 2.37.

We have,

Point q as the center of dilation,

And,

Line wy is dilated to created line w'y',

And,

Length of yw' = 3.5,

And,

Length of qw = 2,

Also,

Length of qy' = 4.125,

Now,

First we will find out the length of qy,

i.e.

The lines are similar so in equal ratio,

i.e.,

qw : qy = qw' : qy'

Now,

Putting values,

i.e.

2 : qy = 3.5 : 4.15

on solving we get,

qy = 1.5

So,

The length of qy is 2.37.

Now,

Scale factor : Scale Factor is the ratio of size of new image formed to the size of old image.

i.e.,

Scale factor = \(\frac{Change\ in\ size}{Original\ size}\)

So,

Scale factor = \(\frac{3.5}{2}\) = 1.75

Hence, we can say that the scale factor of the given parameters will be 1.75 and the length of qy is 2.37.

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Answer:

it is 2.75. and 1.5

Step-by-step explanation:

right on edge

The transformation represented by the figure is (c) translation

From the question, we have the following parameters that can be used in our computation:

The figure

On the figure, we have the following

A figure and its translated image

When a shape is translated to form another, then the transformation is a translation

Hence, the transformation is translation

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Answer: B

Step-by-step explanation:

Using the distance formula, we get the height is \(4\sqrt{2}\).

Similarly, we get the base is \(6\sqrt{2}\).

So, the area is \(\frac{1}{2}(4\sqrt{2})(6\sqrt{2})=24\)

The velocity and direction of the jet and the velocity and direction of the wind, expressed as vectors are;

(a) (0. 45)

(b) (450, 0)

(c) (450, 45)

(d) 452

84.3 °E

A vector quantity is one that has both magnitude and direction.

The direction of the pilot is heading = Due east

The speed of the jet relative to the air = 450 mi/h

The direction of the wind = Due north

Speed of the wind = 45 mi/h

(a) The velocity of the wind expressed as a vector is therefore;

\(\vec{v}_w\) = 0·i + 45·j

Which indicates that the vector component form of the velocity of the wind is (0, 45)

(b) The velocity of the jet relative to the wind expressed as a vector therefore is; \(\vec{v}_j\) = 450·i + 0·j

Which indicates that the vector form of the velocity of the jet relative to the wind is; (450, 0)

(c) The true velocity of the jet expressed as a vector is the sum of the two vectors, which indicates;

The true velocity of the jet = 0·i + 45·j + 450·i + 0·j = 450·i + 45·j

The vector form of the true velocity of the jet is (450, 45)

(d) The true speed of the jet is the magnitude of the vector of the true velocity of the jet, which is;

Speed = √((450 mi/h)² + (45 mi/h)²) ≈ 452 mi/h

The direction of the jet is the arctangent of the ratio of the components of the vector of the true velocity of the jet

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Answer:

18.3 yards

Step-by-step explanation:

6 yards = 18 feet

1/3 yards = 0.3333...

Answer:

-42

Step-by-step explanation:

because the 6 and 8 dont match

Answer:  28, 14, 48, 22, 14, 18, 52, 36, 32, 20, 12, 55 What is the percentage of these cars with a fuel efficiency less than 18 mpg?

Step-by-step explanation:

Answer:  4.35 - 5.5 = -1.15 ≈ - (23÷20)

Step-by-step explanation:  

4.35 - 5.5= -1.15

The equivalent equation to 4.35 - 5.5 will be,

-1.15 ≈ - (23÷20)