Solve by taking the square root of both sides: (x+3)^2 - 169 = 0

Answers

Answer 1

Answer:

x = 10             x = -16

Step-by-step explanation:

(x+3)^2 - 169 = 0

Add 169 to each side

(x+3)^2 - 169+169 = 0+169

(x+3)^2 =169

Take the square root of each side

sqrt((x+3)^2) =sqrt(169)

x+3 =±13

x+3 = 13    x+3 = -13

Subtract 3 from each side

x+3-3 = 13-3    x+3-3 = -13

x = 10             x = -16


Related Questions

Please help me expand theses and then help me factorise these brackets

Answers

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2) +3x(6-y) -7xy

Distribute

xy -2x +18x-3xy -7xy

Combine like terms

-9xy+16x

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2)+3x(6-y)-7xy

xy-2x+18x-3xy-7xy

xy-3xy-7xy-2x+18x

-9xy+16x

three forth of a number excceed its one third by 15, find the number​

Answers

The required value of x is 36

Step-by-step explanation :

Let the required number be x.

Three fourth of number = (3/4)x

One third of number = (1/3) x

According to the question ;

3x/4 = x/3 + 15

→ 3x/4-x/3 = 15

→ 9x - 4x / 12 = 15

→ 5x = 15 x 12

⇒ x = 180 / 5

⇒ x = 36

Hope this answer helps you..!!!

(2x+1)(x-1)=0
2x-10=5+3x​

Answers

Step-by-step explanation:

2x-3x=5+10

-x=15

X=-15

2x+1=0.... 1

X-1=0

X=1......2

Substitute the value of x in equation 1

2*1+1=0

2=1

So the value of x is 1 and 2

Answer:

x=-1/2

x=1

x=-15

Step-by-step explanation:

A recipe requires 500 mL of milk. You will make the recipe once a month for the next 4 months. You do not use milk other than for cooking. Which container of milk should you buy? (1L=1000 mL) *

Answers

Answer: 1 month = 500ml

4 month = 500ml × 4 = 2000ml = 2L

you should use the 2L container

Step-by-step explanation:

(x^2-4x)^2+(x-2)^2+10

Answers

Answer:

x^4-8x^3+17x^2-4x+14

Step-by-step explanation:

Answer:

nan

Step-by-step explanation:

see the above picture

I NEEDDD HELPP ITS URGENTTT. !!

Answers

Answer:

use the information provided to write the standard form equation of the circle

1. ends of a diameter: (11,-6) and (1,14)

use the information provided to write the genral conic form equation of each circle.

1. three points of the circle:

( 7,-4)(-3,-4) and ( 6,-7)

identify the centere and radius. then sketch the graph

1. x^2+y^2-4x-14=0

a) |9+x|=2x
b) |x+6|=2x+9

Answers

Answer:

a) 9

b) -3

Step-by-step explanation:

a)

|9+x|=2x

9 + x = 2x

   - x    -x

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

 9   =    x

b)

|x+6|=2x+9

x +6 = 2x +9

-x          -x

     6 = x + 9

    -9         -9

    --------------

       -3 = x

What is x² − 4x + 7 factored?

Answers

Answer:

The expression is not factorable with rational numbers.

x² − 4x + 7

Someone, please help
Timothy has 72 coins, consisting of quarters, dimes, nickels, and 8 pennies. Samantha comes and takes all of his quarters, takes 3 of his dimes, takes 2 of his nickels, and leaves him with one penny, leaving him with 45 coins. What is the value of quarters that Samantha took?

Answers

72 - 45 = 27

Samantha took 27 coins. She took 3 dimes, 2 nickels and all but 1 penny, so 7 pennies. This is 12 coins. The rest must be quarters. 27 - 12 = 15 quarters.

15 x 0.25 = 5.25

The value of the quarters that Samantha took is $3.75.

Hope this helps!

plssssss help me answer this quickly

Answers

Answer:

Step-by-step explanation:

What are the coordinates of P?
(b,0
a,0
0,a
0,b

Answers

Answer:

a,0

Step-by-step explanation:

Look at point (a,b). Point (a,b) has the same x-coordinate as P. And then the y coordinate is 0 because it just sits on the x axis and doesn't go up any. Therefore the answer is P: (a,0).

eexpres -25/60 as a rational number whose denominator is -12​

Answers

Answer: 5/-12

Explanation

Divide both the denominator and the numerator by -5 to obtain the denominator of -12 and the numerator of 5.

5/-12

Hope this helps :)

surface area of cylinder

Answers

Answer:

The answer is C. [tex]256\pi[/tex] [tex]in^2[/tex].

Step-by-step explanation:

To solve for the surface area of this cylinder, start by using the cylinder surface area formula, which is [tex]SA=2\pi rh+2\pi r^{2}[/tex]. Next, plug in the information given from the problem into the formula, which will look like [tex]SA=(2)(\pi )(8in)(8in)+(2)(\pi )(8in^{2})[/tex]. Then, simplify the equation, which will look like [tex]SA=(128in)(\pi) +(128in)(\pi)[/tex]. The next step is to simplify the equation further, which will look like [tex]SA= 256\pi[/tex] [tex]in^{2}[/tex]. The final answer is [tex]256 \pi[/tex] [tex]in^2[/tex].

Does the table represent a function? Why or why not?

Answers

Answer:

D

Step-by-step explanation:

for a table to represent a function each x value can only have one y value here we see 5 have two different values, 3 and 2, so it is not a function

Find the measure of the numbered angles.
Angle 1 =
Angle 2 =
Angle 3 =
Angle 4 =
Angle 5 =
Angle 6 =
Angle 7 =
Angle 8 =

Answers

Explanation in pictures.

Hope this helps!! Have a good day!

Use the function to answer questions #5-7.
please help with both

Answers

Answer:

2lnf .÷f35%vbbcy^hjv6bs8nc

The number seventeen and seven thousand in decimal form is​

Answers

Answer:

17.00 and 17,000.00

this is your answer to ur question

What is the area of the figure shown? Plz explain!

Answers

Answer:

D. ½y(x+z)

Step-by-step explanation:

the area = (x.y)+(½y(z-x))

= xy + ½ (yz -xy)

= xy +½yz -½xy

= ½xy + ½yz

= ½y(x+z)

Apply the distributive property to factor out the greatest common factor of all three terms. {24c + 36d + 18} =24c+36d+18=24, c, plus, 36, d, plus, 18, equals

Answers

Answer:

[tex]6(4c + 6d + 3})[/tex]

Step-by-step explanation:

Given

[tex]{24c + 36d + 18}[/tex]

Required

Apply distributive property

We have:

[tex]{24c + 36d + 18}[/tex]

Factor out 6 (to apply distributive property)

[tex]{24c + 36d + 18} = 6(4c + 6d + 3})[/tex]

Hence, the equivalent is:

[tex]6(4c + 6d + 3})[/tex]

can i get some help solving this

Answers

Answer:

A =147 cm^2

Step-by-step explanation:

A = pi r^2

The radius is 7 and let pi = 3

A = 3*7^2

A = 3*49

A =147

factories 2x^3+ 7x^2+ 7x +2 emergency pls ​

Answers

hope it helps you...............

Answer:

the answer is (x+1)(x+2)(2x+1)

HELP QUICK

Question 1 (1 point)
A wave travels at 3 000 m/s. If its wavelength is 6.0 m, what is its period?

Answers

Answer:

0.002 seconds

Step-by-step explanation:

Wave period = Wavelength/Velocity

Period = 6/3,000

Period = 0.002 seconds

1/5 of a wall every 1/4 hour what fraction represents the section of a wall jeb can paint in one hour

Answers

Answer:

4/5 of the wall

Step-by-step explanation:

In 1/4 of an hour, 1/5 of the wall is painted. That means that

in 4/4 of an hour (which is an hour), 4/5 of the wall is painted.

4/5 is your answer

Daniel buys a new car.

In the first year, the value of the car decreases by 12% of its original value.

The value of the car at the end of the first year is £9680.

(a) Work out the original value of the car.

The value of the car at the end of the first year is £9680.
In each of the second year, the third year, fourth year and the fifth year, the value of the car decreases by
x% of its value at the beginning of each year.
The value of the car at the end of the fifth year is £5000.
(b) Work out the value of x.
Give your answer correct to 3 significant figures.

Answers

Answer:

Step-by-step explanation:

Value of the car at the end of the first year = £9680

Depreciation = 12 %

Original price = £ x

If we reduce 12% of original price from x, we will get £9680

x - 12% of x  = £ 9680

[tex]x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000[/tex]

Original price  = £ 11000

Consider the formula for the slope between two coordinate points, m, shown below.

Answers

Answer:

D

Step-by-step explanation:

m= (y2-y1)/(x2-x1)

m(x2-x1)= y2-y1

y2= m(x2-x1) + y1

Find the total surface area.

Answer Options:
A. 422 in²
B. 517 in²
C. 554 in²
D. 638 in²

Answers

Answer:

D. 638 in^2

Step-by-step explanation:

total surface area is just the sum of areas of each side of the cube

opposite sides have the same area

top and bottom = 9*11

sides = 11*9

front and back = 11*11

SA = 2(9*11 + 11*9 + 11*11)

SA = 2(99 + 99 + 121)

SA = 2(319)

SA = 638 in^2

Determine the period.

Answers

Answer:

2

Step-by-step explanation:

Basically, the period of a sinusoidal graph is the distance between one cycle to another. As can be visually seen, this is 2.

Answer:

2

Step-by-step explanation:

its right on Acellus

The area of the triangle shown is represented by A=s(s−21)(s−17)(s−10)−−−−−−−−−−−−−−−−−−−−√, where s is equal to half the perimeter. What is the height h of the triangle?

Answers

Answer:

9.88 units

Step-by-step explanation:

We are given that area of triangle  is given by

[tex]A=\sqrt{s(s-21)(s-17)(s-10)}[/tex]

s=Half perimeter

By comparing with

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

We get

a=21

b=17

c=10

[tex]s=\frac{a+b+c}{2}=\frac{21+17+10}{2}=24[/tex]

Now, the area

[tex]A=\sqrt{24(24-21)(24-17)(24-10)}[/tex]

A=84

Area of triangle, [tex]A=\frac{1}{2}\times bh[/tex]

b=17

[tex]84=\frac{1}{2}(17)(h)[/tex]

[tex]h=\frac{84\times 2}{17}[/tex]

[tex]h=9.88 units[/tex]

Hence, the height of the triangle=9.88 units

Find the measure of a.

Answers

Answer:

a is 44 degree

Step-by-step explanation:

What connects a coefficient and a constant

Answers

Answer:

The variable

Step-by-step explanation:

Other Questions
what does this quote mean and who said it no linkss plss from Catcher in the Rye" I broke all the windows in the garage"plss no linkss Evaluate 2w^2-3w+7 when w=-2 Describe a character from a story/ film/ TV program.You should say: Who this character is When you first saw/ read about him/ her What kind of person he/she is Why you like him/her Each 5-ml teaspoon of Extra Strength Maalox Plus contains 450 mg of magnesium hydroxide and 500 mg of aluminum hydroxide. How many moles of hydronium ions H3O are neutralized by 1 teaspoon of antacid product? Explanation of the physics involved i the northern lights(aurora borealis) why can't it occur in mire southerns latitudes? If an angry person called and demanded to speak with the executive you support, who is currently unavailable, how would you handle it? Would you mind if I _________ TV?A. watchB. watchedC. watchingD. watches Select the correct answer.Based on your knowledge of word parts, which word best completes this sentence?Stephen's excellent performance in his French classes him to try speaking only in French during his trip to Paris. According to the article "How Did World War II Begin," what was one of Hitler'sfirst political actions? Which statement is most accurate about alternation of generations?A. It involves changing the total number of chromosomes in a plant cell.B. It refers to the haploid and diploid phases of the plant life cycle.C. It refers to the processes of meiosis and fertilization.D. It involves only some of the seedless vascular plants. ngh thut ch o v xy dng lc lng cch mng ca ng trong cch mng thng 8 nm 1945 divide 12by8 and 4by3 Consider three of Ronald's items: His wallet is found by an usher on the ground behind a seat at the stadium where he attended a baseball game last night. His broken television is in a garbage can he has rolled out to his curb for collection. His shoes are found in a locker at a gym at which he used to have a membership. Which of these items meets the legal definition of mislaid Add.(-2+6x3 3x_) + (4x3 5 + x)Express the answer in standard form.Enter your answer in the box. Mary Ellen is the director of an early childhood education program in the downtown area of a major city. It is a convenient site for many parents who either live or work in the local area. The center is very near to a city park and an inner-city high school. She is concerned about the safety of the neighborhood surrounding her early childhood education environment. What steps might she and her teachers take to maximize the safety of the children in care A table is made using the following two patterns.Pattern 2: Starting number: 5, Rule: Multiply by 31Pattern y: Starting number: 20, Rule: Multiply by2Complete the table for the given patterns.Cy520 III. Put the adjectives or adverbs into the comparisons form. (Vit dng so snh ca t in m)1. This is a nice cat. It's much than my friend's cat.2. This is a difficult exercise. But the exercise with an asterisk (*) is the . exercise on the worksheet.3. In the last holidays I read a good book, but father gave me an even one last weekend.4. Yesterday John told me a funny joke. This joke was the joke I've ever heard.5. He has an interesting hobby, but my sister has the hobby in the world.6. Planes can fly (high) than birds.7. He had an accident last year. Now, he drives (careful) than before.8. Jim can run (fast) than John.9. Our team played (bad) of all.10. He worked (hard) than ever before. Which number would be rounded UP to the nearest ten but DOWN to the nearest hundred?A. 232 B. 238 C. 262 D. 268 Information technology (IT) consists of all the hardware that a firm needs to use in order to achieve its business objectives, whereas information systems consist of only the software and business processes.A. TrueB. False 14. What is the oxidation number of oxygen in HSO4 -