Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18 ​

Answers

Answer 1

Answer:

x = ±[tex]\sqrt{7}[/tex] - 5

Step-by-step explanation:

x^2 - 10x = -18

x^2 - 10x + 18 = 0

(x + 5)^2 - 5^2 + 18 = 0

(x + 5)^2 - 7 = 0

(x + 5)^2  = 7

[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]

x = ±[tex]\sqrt{7}[/tex] - 5


Related Questions

Please please help
The measure of the second angle of a triangle is twice the measure of the first. The measure of the third angle is six times the measure of the first.
What measure is the third angle?

Answers

Step-by-step explanation:

So,Let Angle 1 be x, Angle 2 be 2x, Angle 3 be 6x...

Now,

Angle 1 + Angle 2 + Angle 3 = 180°

( Sum of all angles of the triangle)

x + 2x +6x = 180°

x + 8x = 180°

9x = 180°

x = 180°/9

x = 20°

Therefore,

Angle 1 = x = 20°Angle 2 = 2x = 2 × x = 2×20° = 40°Angle 3 = 6x = 6 × x = 6×20° = 120°

So, 20°,40°,120° are the 3 angles of the triangle..

hope it helps!!!

(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~

Wellington has $21 to ride bumper cars and play games at the count fair. Suppose the bumper cars cost $3.50. Write and solve an inequality to find the most he can spend on games.

Answers

Answer: 17.50

Step-by-step explanation:

It is 17.50 hope it helps.

Please help asap!


the temperture fell from 10 degrees to -14 degrees while Ben was at work. if Ben worked 6 hours, what was the average hourly change in temperature?​

Answers

Answer:

I think -24 for the hourly change

Step-by-step explanation:

10-24= -14

Answer: -4

Step-by-step explanation:

Subtract 10 by -14 to get -24 then divide by 6 because ben was at work for 6 hours to get -4

(4x2 - x - 7) + (2x3 + 6x2 - 11)
Adding polynomials

Answers

Answer:

2x3 + 10x2 - x - 18

Step-by-step explanation:

hope this helps! goodluck & enjoy the rest of ur day /or night.

Answer:

(4x2 - x - 7) + (2x3 + 6x2 - 11) Adding polynomials

Step-by-step explanation:

Given that 3 * 6 = 12 and 2 * 5 = 9, then a * b may be defined as

Answers

Answer:

3 *6=12

3+6=9

9+3=12

2*5=2+5=7

7+2=9

a*b=a+b+a

A hot air balloon went from an elevation of 5,201 feet to an elevation of 3,339 feet
in 28 minutes.
What was its rate of descent

Answers

The first thing I did was to be a part of the world, and the other is a great way to get the best out of the way, and I have to say that I am not a fan of the
The first thing I noticed that I have been a little more time to do so by a single day and age and

This weekend, Rosie ate a total of 3 3/4% bananas. She ate half as many bananas on Sundav as she did wolke
on Saturday. How many bananas did Rosie eat on Saturday?

Answers

Answer:

7 bananas

Step-by-step explanation:

Given the function f described by fly)=9y2 + 7y-6, find the function values.
f(-5) = 0
(Simplify your answer. Type an integer or a fraction.)

Answers

Answer:

f(- 5) = 184

Step-by-step explanation:

Substitute y = - 5 into f(y) , that is

f(- 5) = 9(- 5)² + 7(- 5) - 6

        = 9(25) - 35 - 6

       = 225 - 41

      = 184

PLEASE HELP!!!!
Select the correct answer from each drop-down menu.
Consider the end behavior of this function, and then complete the statements.
h(x) = -1/5|x – 3|+ 4

See in picture below

Answers

Answer:

See below

Step-by-step explanation:

As x approaches negative infinity, h(x) approaches negative infinity

As x approaches positive infinity, h(x) approaches negative infinity

I've attached a graph to show why these two are true. Remember that in an absolute value function, the result is always positive. However, because there's a negative constant multiplying the absolute value function, this flips the graph over the x-axis and the result is now always negative. In other words, no matter how big or small x is, y will always get smaller.

What is the range of function g?

Answers

Answer:

C

Step-by-step explanation:

This function starts at point (1, 2), so 2 is inclusive. Therefore the range of this function is:

[tex]y \geq 2[/tex]

Help help help help math

Answers

Answer:

A = 192

Step-by-step explanation:

r = 16/2 = 8

A = 3x(8)^2

8^2 = 64

A = 3 x 64 = 192

Radius is half the diameter.

The diameter is shown as 16, so the radius would be 16/2 = 8 in.

Area = 3 x 8^2

Area = 3 x 64

Area = 192 square inches

Shaq has opened a new bake shop in town. Shaq sells each chocolate
cake for $12 and spends $1,064 in rent per month. How many
chocolate cakes does Shaq need to sell to make $1,204 in profits this
month?

Answers

Answer:

she would need to sell 88.6

Step-by-step explanation:

Which is a central idea of the Railroad that changed america?

Answers

In the 1850s, the U.S government began encouraging Americans to head west to claim some of the country’s vas open areas. Pioneers were lured with the promise of owning their own land. But the trip could take months—if they survived it at all. Horse-drawn wagons were constantly at risk of breaking down in parched deserts, on barren plains, or in treacherous mountain passes. “Nothing but actual experience will give one an idea of the . . . exhaustive energy, the throbs of hope, the depths of despair, through which we lived,” on pioneer wrote.

Write an Equation for each of the lines on the graph.

Answers

NOTE: for C there is an x after -4.1176

Step-by-step explanation:

Find the area of the square

Answers

Answer:

144

Step-by-step explanation:

225-81 because with pythagorean thorem both sides should equal the C value or the bigger square.

Plz can someone help me with this problem thank you

Answers

Step-by-step explanation:

sorry ..i dont know the answer for this question

A company makes 80 bags.
24 of the bags have buttons but no zips.
22 of the bags have zips but no buttons.
29 of the bags have neither zips nar buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

I would tell you darling but they don’t make 80 did you add a mistake to the numbers?

pedro is a driver for LYFT. There is a flat fee and a rate per mile. The function f(x)=4.50x + 12 represents how much it will cost for a ride after X miles. evaluate f(39)

Answers

$187.5
F(39)=4.5*39+12=175.5+12=187.5

Bobby and Sue Ellan both ride their bikes to the library. Bobby’s home is 6.5 blocks from the library and Sue Ellan’s home is 1 ½ times farther from the library than Bobby’s home. How much farther must Sue Ellan ride her bike to get to the library than Bobby does?

Answers

Answer:

3.25 blocks

Step-by-step explanation:

6.5 * 1.5 = 9.75 blocks

9.75 - 6.5 = 3.25blocks

Farther 3.25 blocks sue ellan need to ride than Bobby ride

Write an equation in slope intercept form for the graph of the line.​

Answers

Answer:

y = 2x - 3

Step-by-step explanation:

Slope intercept form:

y = mx + b, where m - slope, b - y-intercept

Take two points from the graph:

(2, 1) and (3, 3)

Find the slope:

m = (3 - 1)/(3 - 1) = 2/1 = 2

Find the y-intercept using point (2, 1) and the equation above:

1 = 2*2 + bb = 1 - 4b = -3

The line is:

y = 2x - 3

Answer:

Y = 2x - 3 or Y = 8/3x - 3

Step-by-step explanation:

Y = mx + b

we have a y intercept of -3 since the graph crosses the y axis only at -3 and it heads to y = 3 starting from the y intercept.

and thus we are 5 units away from 3 which is m = a/c = 8/3

m = 8/3

y = 8/3x - 3

it's either this or we'll simply plot the final and initial positions of x and y respectiveky. so m = 3-1/3-2 = 2/1 = 2

and so the equation would turn out to be -

y = 2x -3

Of the 16 new students in a swim class, 6 said they knew how to do the butterfly stroke. Write a ratio that is equivalent to 6/16.

Need answer ASAP. I will provide brainliest in this Q.

Answers

ANSWER: 3:8
EXPLANATION: 6/16 = 3/8

What is the L.C.M of 45 80 and 135

Answers

Answer:

LCM = 2160

Step-by-step explanation:

lcm of 45 80 and 125 is 2160 because LCM = 2160

Answer:

the answer is (that I found) is 2160

Solve. 2/3x+5/6=3 1/3 Enter your answer as a mixed number in simplest form in the box.

Answers

Answer:15/4 I think

Step-by-step explanation:sorry I don’t know

Answer:

3 3/4

Step-by-step explanation:

Hope this helps!

Brainliest pls

Have a great day!

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

third one

Step-by-step explanation:

a number is less than 3 1/2

What situation could be modeled with the equation of 40 devided by 8 equals 5

Answers

Answer:

Go to explanation

Step-by-step explanation:

You can say: At your birthday party, you have 7 friends who were there with you. There are 40 cookies to be shared with all of you, and you want it to be split equally. How many cookies does each person get?

How do u slove this for y intercept?


(4, 1); slope=3/2

Answers

Answer:

y-intercept=-5

Step-by-step explanation:

y=mx+b  m/slope=3/2 the point is (x,y)/(4,1)

1=3/2(4)+b

1=12/2+b

1=6+b

-6-6

-5=b

Plz help solve them thank you in advance!

Answers

#1

[tex]\\ \sf{:}\dashrightarrow 20m+(-16)m=20m-16m=4m[/tex]

#2

[tex]\\ \sf{:}\dashrightarrow 5m+(-16m)=5m-16m=-11m[/tex]

#3

[tex]\\ \sf{:}\dashrightarrow -9m+11m=2m[/tex]

#4

[tex]\\ \sf{:}\dashrightarrow -9m+(-11m)=-9m-11m=-20m[/tex]

Plz help. Question on the picture

Answers

Answer: There is no picture.

Step-by-step explanation:

brainlist please solve this

Answers

Answer:

D

Step-by-step explanation:

It makes sense, the others don't.

The x coordinate is the temperature, and the y coordinate is the number of cups sold.

Hope this helped! :)

What is the range of the relation?







Question 9 options:



{–4, –2,–1, 2}




{–4, 4}




{–3, –2, 0, 2}




{–4, –2, –1, 0, –2}

Answers

Step-by-step explanation:

the range of a relation or function is the interval or set of valid result values (y values).

in contrast to the domain, which is the interval or set of valid x values.

so, as y values we have here

-3, -2, 0, 2

so, the third answer option is correct.

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