A quadratic equation x^2-8x+9=0 is rewritten in the form (x-p)^2=q. What are the values of p and q?

Answers

Answer 1

Answer: x^2-(2)(x)(4)+16-7=0
x^2-(2)(x)(4)+4^2 =7
(x-4)^2=7

So value of p is 4 and q is 7

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Figure WXYZ is a rectangle with a semicircle added to its base.What is the perimeter of figure WXYZ? Use 3.14 to approximate pi.

Answers

Figure WXYZ is a rectangle that has a semicircle added to its base. The rectangle has a length of sixteen inches and a width of seven inches. The semicircle has a diameter equal to the length of the rectangle.

Given:
Rectangle: Length = 16 inches ; width = 7 inches
Semicirle added to its base, the length of the rectangle. Only one length.

We need to get the circumference of the semi circle and add the length and 2 widths of the rectangle.

Circumference of a circle = 2πr ⇒ 2 * 3.14 * 8 inches = 50.24
Circumference of a semicircle = 50.24/2 = 25.12 inches
Widths of the rectangle = 2 * 7 inches = 14 inches

Perimeter of the figure = 25.12 in + 14 in + 16 in = 55.12 inches.

Copy and complete the table for the sequence 3n-1 Term number Term 3n-1
1
2
3.

Answers

3n-1

where n = 1 ; n = 2 ; n = 3

3(n) - 1 = 3(1) - 1 = 3 - 1 = 2
3(n) - 1 = 3(2) - 1 = 6 - 1 = 5
3(n) - 1 = 3(3) - 1 = 9 - 1 = 8

What is the solution to the linear equation? 4b + 6 = 2 – b + 4

Answers

Answer: The required solution is b = 0.

Step-by-step explanation: We are given to solve the following linear equation :

$4b+6=2-b+4~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We need to find the value of the unknown variable 'b' in the give equation.

From equation (i), we have

$4b+6=2-b+4\n\n\Rightarrow 4b+6=6-b\n\n\Rightarrow 4b+b=6-6\n\n\Rightarrow 5b=0\n\n\Rightarrow b=(0)/(5)\n\n\Rightarrow b=0.$

Thus, the required solution is b = 0.

b = 0

To solve make b the subject so:
4b + 6 = 2 - b + 4
5b + 6 = 6
5b = 0
5 = 0/5
= 0

Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles

Answers

Seg BA is congr to seg BC and seg DA is cong to seg DC by given Seg BD is congr to seg BD by reflexive Tr. BAD is congr to tr. BCD by SSS

Solve for x given the lines are parallel.
7(x - 710
126°

Answers

Answer:

the answer is 87

Step-by-step explanation:

A company with 10,000 employees would like to know whether their employees think that they are paid enough. Do you think asking the question to 200 employees from the same department is most representative of all the employees? Explain your reasoning.

Answers

Answer: It is not.

Step-by-step explanation:

The salaries paid to the various departments of a company are usually different as some departments get paid more than others. For instance, in a manufacturing company, the R&D department would on average, get paid more than members of the Cleaning department.

Asking members of only one department therefore, about their pay satisfaction would not bring about a reasonable result because it would not be indicative of the thoughts of members of the other departments who are not being paid the same.

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