MATHEMATICS HIGH SCHOOL

Which expressions are differences of squares?Choose all answers that are correct.
Question 2 options:

8b^2 – 16c^6

16e^8 – 81g^4

49x^25 – 4y^16

121m^18 – 9n^10

Answers

Answer 1
Answer: difference of 2 perfec squares is
(a^2)-(b^2)




if the exponents are both even and the coeficient (the number in front) are perfect squares, then it is difference t 2 perfect squares

first one
8 is not perfect square


2nd one
(4e^4)^2-(9g^2)^2


third
25 is odd, so it cannot be split up into 2 nice numbers

4th
(11m^9)^2-(3n^5)^2

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Three scenarios are given in parts a through c below. For each​ scenario, determine the sampling method used by the managers. ​a) The managers select a single branch at random and survey every employee of that branch. A. The managers used a systematic sample. B. The managers used a multistage sample. C. The managers used a cluster sample. D. The managers used a stratified sample. E. The managers used a simple random sample. ​b) The managers use the company​ e-mail directory to contact every 3030th employee on the list. Choose the correct sampling method below. A. The managers used a cluster sample. B. The managers used a multistage sample. C. The managers used a stratified sample. D. The managers used a systematic sample. E. The managers used a simple random sample. ​c) The managers split the company into​ divisions, with each division containing employees that have similar jobs. Within each​ division, they select a SRS of employees to contact. Choose the correct sampling

Answers

Answer:

1. C. The managers used a cluster sample

2.  B)The managers used a systematic sample.

3. The managers used a stratified sample.

Step-by-step explanation:

1. In a cluster sampling method, the population would be divided into several small units called cluster by the researcher. Within these clusters we randomly pick one or more to observe.

2. In systematic sampling we select elements from an ordered sampling frame.

3. In stratified sampling, the population is divided into several stratas and the researcher then selects randomly to complete the sampling process

Rewrite this expression using the distributive property then simplify.
2/3(6x+12)

Answers

so distributive property of multiplication says
a(b+c)=(ab)+(ac)

so 2/3(6x+12)=((2/3)6x)+((2/3)12)=12/3x+24/3=4x+8=4(x+2)
2/3(6x+12)

=12/3x+24/3

=4x+8

Please Help, will brainliest."How do you connect the ideas of congruency and rigid motion and how do you prove congruency?"
Answer:

"Provide an example of a new theorem related to triangles and describe the steps as to how this theorem can be proven."
Answer:

"Explain how to prove one of the following properties of parallelograms: opposite sides are congruent, opposite angles are congruent, diagonals bisect each other"
Answer:

Answers

Answer: One possible way to answer your question is:

To connect the ideas of congruency and rigid motion, we can use the following definition: Two figures are congruent if and only if there exists one or more rigid motions that map one figure onto the other. Rigid motions are transformations that preserve the size and shape of a figure, such as reflections, rotations, and translations. Therefore, congruency means that two figures have the same size and shape, and can be superimposed by applying one or more rigid motions.

To prove congruency, we can use the following criteria: Two triangles are congruent if they satisfy one of the following conditions:

SSS (Side-Side-Side): All three pairs of corresponding sides are equal in length.

SAS (Side-Angle-Side): Two pairs of corresponding sides are equal in length, and the included angles are equal in measure.

ASA (Angle-Side-Angle): Two pairs of corresponding angles are equal in measure, and the included sides are equal in length.

AAS (Angle-Angle-Side): Two pairs of corresponding angles are equal in measure, and a pair of corresponding sides not included between the angles are equal in length.

HL (Hypotenuse-Leg): The hypotenuses and a pair of corresponding legs of two right triangles are equal in length.

To prove one of these conditions, we can use the properties of parallel lines, isosceles triangles, midpoints, bisectors, perpendiculars, etc. For example, to prove that opposite sides of a parallelogram are congruent, we can use the following steps:

Given a parallelogram ABCD, draw a diagonal AC.

By the alternate interior angles theorem, we have ∠BAC = ∠DCA and ∠BCA = ∠DAC.

By the reflexive property, we have AC = AC.

By the ASA criterion, we have ΔABC ≅ ΔCDA.

By the CPCTC4 (Corresponding Parts of Congruent Triangles are Congruent), we have AB = CD and BC = AD.

Therefore, opposite sides of a parallelogram are congruent.

Which of the following comparisons is false 4 liters=1 gallon 1 foot=1 meter 25 grams 1 ounce 10 kilometers = 9 miles

Answers

1 foot does not equal 1 metre
1 fool = 1 meter is incorrect

What is the area of a triangle base 25 feet and height 8 feet

Answers

How you get your answer is by multiplying 25*8= 125 
Area= 25*8/2= 100
Area of triangle= base*height/2

please help asap/ Choose the sentence that best uses a synonym as a context clue to clarify the meaning of the italicized word.

Answers

Answer:

D.

Step-by-step explanation:

The answer is D. because the vicinity of the playing field can be associated with the bleachers.
The answer:
D.
Explanation:
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