simplify √x^2+6x+9 if x≥3

Answers

Answer 1

Answer:

simplified expression for √x^2+6x+9 if x≥3

is x+3

Step-by-step explanation:

[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]

but given that x≥3

then we have to negate solution -(x+3)\

Then simplified expression for √x^2+6x+9 if x≥3

is x+3

Related Questions

An arithmetic sequence has this recursive formula. a1=9 and 1-3 .

Answers

The required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.

Given, an arithmetic sequance is given in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex] .
Explicit formula for the sequence is to be determined.

What is arithmetic progression?

Arithmetic progression is the sequence of numbers that have common differences between adjacent values.
Example, 1, 2, 3, 4, 5, 6. this sequence as n = 6 number with a = 1 (1st term) and common differene d = 2- 1 = 1.

Given arithmetic sequance is in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex]
From above expression
[tex]a_n-a_{n-1}= -3[/tex]
common difference (d) = -3
with d = -3 and [tex]a_1 = 9[/tex]
The equation for the nth term in an arithmetic sequence is given by
[tex]a_n =a +(n-1)d[/tex]
[tex]a_n = 9 +(n-1)(-3)[/tex]
The above expression is the explicit form of the arithmetic equation.

Thus, the required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.

Learn more about arithmetic progression here:
https://brainly.com/question/20334860
#SPJ5

Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x. Joey's first step was to rewrite the equation as 20x - 42 = 18 while Nolan's first step was to rewrite the equation as 13x = 60 - 7x. Who is correctly applying the addition property of equality in the first step of his work? A. Only Joey B. Only Nolan C. Both Joey and Nolan D. Neither Joey nor Nolan

Answers

Answer:

Correct option: C.

(Both Joey and Nolan)

Step-by-step explanation:

The step Joey did is:

Add 7x to both sides of the equation

Then, he got:

13x - 42 + 7x = 18 - 7x + 7x

20x - 42 = 18

The step Nolan did is:

Add 42 to both sides of the equation

Then, he got:

13x - 42 + 42 = 18 - 7x + 42

13x = 60 - 7x

So both of them used correctly the addition property of equality in the first step of their work.

Correct option: C.

Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER STAT!!!!!

Answers

First the difference between the perimeter and area is that area is the amount of space inside a shape, and perimeter is the distance around the shape
^thats what they measure
And since perimeter is a length or distance, the unit of measure is inches, feet, yards, or miles. The area is usually found by doing l x w
Hope this helped

a family of 8 has 3 of them being males what proportion of the family is female

Answers

Answer: not very sure but i think that may be 5

Step-by-step explanation:

I think it is 5 idk I could be wrong

What is the measure of < B, in degrees?

Answers

Answer:

B. 32°

Step-by-step explanation:

Since two of the sides are 10 in length, then we can infer that ∠A and ∠C are congruent. So, both equal 74°. You add 74 + 74 + x = 180, x would equal 32°.

Answer:

Step-by-step explanation:

sum of angle in triangle is 180

and since its isosceles triangle, it means <C will be same with <A

so we know that A + C = 148.

so the value of B will be like this

B = 180° - (A+C)° = 180 - 148 = 32°

find the area of a rectangle with a width of 16 centimeters and a length of 55 centimeters

Answers

Answer:

The area of the rectangle is 880 cm

Step-by-step explanation:

Lenght = 55cm

Breadth/width=16cm

Area of rectangle= lenght×breadth

Area= 55×16

Area= 880

Hence, area of rectangle is 880cm

P.S - Mark me as the brainliest :D

Exactly 1 1/3 yard of ribbon is needed to make a bow. Which of the following lengths of ribbon could be used to make a bow with the least amount remaining?

Answers

The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.

Which Length of ribbon renders the least remainder?

It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;

For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.

For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.

1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.

Read more on fractions;

https://brainly.com/question/78672

#SPJ1

Other Questions

What is the measure of < B, in degrees? Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER STAT!!!!! find the area of a rectangle with a width of 16 centimeters and a length of 55 centimeters A buffered solution has a pH of 7.5. What would happen to the pH if a smallamount of acid were added? Use the triangle shown on the right to complete the statement:_____ (75*)=14.1/xAnswer: cos2nd part: Use the equation shown to solve for the value of x. Round to the nearest tenth.cos(75*)=14.1/x x=14.1/cos(75*)Answer: 54.5 in Mehmut is 4 times as old as his brother, butnext year he will be only 3 times as old. FindMehmut's age now?ALICIA CONYERS7:20 AM How many times can a three-dimensional object that has a radius of 1,000 units fit something with a radius of 10 units inside of it? How many times can something with a radius of 2,000 units fit something with a radius of 1 unit? The outside of a bacterial cell is protected by a structure called a ?? What is the dependent variable for "how does changing your laundry detergent affect how clean your clothes are?" I need help pleassseee Evaluate 16x^0 if x= -3 Is it possible to ride a bike 200 miles in 13 hours The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio of green paint to white paint you will need to paint these tiles? $(\pi^2-4):\pi^2$ a $\pi^2:(\pi^2-4)$ b $\pi:(4-\pi)$ c $(4-\pi):\pi$ d Please answer this correctly What is the image of (-1, 1) after a dilation of 2?O (1.3)O (2.2)O (-22) Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? A: x^2 + 8x 308 = 0 B: x^2 8x + 308 = 0 C: x^2 + 8x + 308 = 0 D: x^2 8x 308 = 0 Suzanne Brett wants to borrow $55,000 from the bank. The interest rate is 6.5% and the term is for 5 years.What is the yearly payment amount? After learning about the hazardous effects of land pollution Nicholas would like to do his part in reducing land pollution A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 26centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that thelength of the hypotenuse is 7.1 centimeters. Answer parts a and b.a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter. How does the #Infinitelnclusion movement build on the goals of Infinite Flow? A. The movement empowers people with disabilities to protest for change. B. The movement works to make activities open to people of all abilities. C. The movement celebrates people of different abilities at parties. D. The movement teaches people how to lead discussions on disabilities.