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

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

Answers

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

Answer:

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

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

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]

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

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

Find the measure of a.

Answers

Answer:

a is 44 degree

Step-by-step explanation:

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

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!

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

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].

plssssss help me answer this quickly

Answers

Answer:

Step-by-step explanation:

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

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).

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

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..!!!

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)

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:

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

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

What connects a coefficient and a constant

Answers

Answer:

The variable

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

(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:

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

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

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

Answers

Answer:

2lnf .÷f35%vbbcy^hjv6bs8nc

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

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

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!

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 :)
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