MATHEMATICS HIGH SCHOOL

State whether the conclusion shown below could be reached using coordinate methods. Give a reason for your answer. a. yes; same slope
b. no; may not have intersection point
b
c. yes; product of slopes = –1
d. no; may need angle measures

Answers

Answer 1
Answer: State whether the conclusion shown below could be reached using coordinate methods. no; may not have intersection point. The answer is letter B

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A sociologist conducts an experiment to see how watching a documentary on young men in gay relationships affects individual attitudes toward gay marriage. Both men and women are given a survey, but only those in the experimental group watch the video before answering the survey questions. Identify the dependent variables in this experiment.\
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A manufacturer of metal washers needs to determine the​ cross-sectional area of each washer. If the outer radius of the washer is R and the radius of the hole is​ r, express the area of the washer as a polynomial. Factor this polynomial completely.

Answers

A=π(R+r)(R-r) is the factorization of the polynomial.

What is Polynomial?

Factoring a polynomial exists expressing the polynomial as a product of two or more factors; it stands somewhat like the reverse process of multiplying.

A polynomial exists as an expression consisting of indeterminates (also named variables) and coefficients, that concern only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

The hole in the washer will never contain an area because it does not occupy any surface of the object.

The area of any circle is$\pi r^(2)$.

To discover the area of this washer, take the area of the outer circle minus the area of the inner circle (the hole).

$A=\pi R^(2)-\pi r^(2)$

$$A=\pi\left(R^(2)-r^(2)\right)$$

The term $\left(R^(2)-r^(2)\right)$ is a difference in perfect squares.

$$A=\pi(R+r)(R-r)$$

To learn more about Polynomial refer to:

brainly.com/question/1600696

#SPJ2
The c.s.a. is found by subtracting the area of the hole from the total area (including the hole):
c.s.a.=\pi R^(2)-\pi r^(2)
Factorizing completely we get:
c.s.a.=\pi(R+r)(R-r)

In order to be invited to tutoring or extension activities, a student's performance must be at least 20 points higher or lower than an average score. If the average score is 105, which inequality represents p, the scores for students who are eligible for tutoring or extension activities?a. 85 < p < 125
b. 85 ≤ p ≤ 125
c. p < 85 or p > 125
d. p ≤ 85 or p ≥ 125

Answers

The correct answer is D. Since the average score is 105, and the boundary limits are +- 20 points, then the needed score for tutorial would have to be less than or equal to 85, and for extension activities, it would have to be greater than or equal to 125. Mathematically, it is shown as:   p ≤ 85 or p ≥ 125

Answer:

d

Step-by-step explanation:

Find f^(-1) (-2) =

Answers

Answer:

f(2) = - 2

{f}^( - 1) ( - 2) = 2

Six times the sum of a number and eight is 30. Find the number

Answers

Answer:

-3

Step-by-step explanation:

to the following equation:

6(x + 8) = 30

Now, we need to solve this equation for x. First, distribute the 6 on the left side of the equation:

6x + 48 = 30

Next, isolate the variable x by subtracting 48 from both sides of the equation:

6x = 30 - 48

6x = -18

Finally, divide both sides by 6 to solve for x:

x = -18 / 6

x = -3

So, the number is -3.

If the total price paid for an item is $20.25 and the cost of the item before sales tax is $18.90, what is the rate of sales tax?

Answers

1.35€........................

Determine if the following tables from a lineAr equation if so identify the slope otherwise write non linear

Answers

2) 
a*2 + b = 26;
a*(-4) + b = -16;
then, a*6 = 42 => a = 7 => b = 26 -14 => b = 12;

from table, 7*9 + 12 = 63 + 12 = 75, correct;
                7*(-8) + 12 = -56 + 12 = -44, correct;

slope = ( -44 + 16) / ( -8 + 4) = ( - 28) / (-4) = 7 = a;
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