Solve by completing the square (Show all work)
x2 – 10x + 10 = 35

Please help!

Answers

Answer 1

Answer:

x=5+5√2; x=5-5√2

Step-by-step explanation:

To complete the square we need to turn part of the equation into a perfect square trinomial. Remember, in any equation we can do anything we like to the numbers as long as both sides stay equal.

First, let's subtract 10 from both sides.

x^2-10x=25

This does not factor, so we need to turn it into a perfect square trinomial by adding the quantity equal to (b/2)^2. In this case, (b/2)^2 is 25.

x^2−10x+25=25+25

IMPORTANT: You must keep the sides of the equation equal, so we added a 25 to the right side as well to keep the equation true.

From here we can factor, simplify and find our zeroes.

(x-5)(x-5)=50

(x-5)^2=50

x-5=±√50

x=5±√50

√50=5√2

So our final answer is:

x=5+5√2; x=5-5√2

HTH :)


Related Questions

How can ΔABC be mapped to ΔXYZ? First, translate vertex A to vertex . Next, ΔABC to align the sides a

Answers

The correct answer is vertex B to vertex Y

What is transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Given are two triangles ABC and XYZ.

We have AB = XY = 25 cm, AC = YZ = 29 cm

and also angle A = angle X = 36 degrees

Thus, we find that corresponding congruent sides are

AB and AC with angles A and X

To map ABC onto XYZ,

Vertex B to Y, side AB to side XY with AC coinciding with XZ

Now all vertices x, y, z will perfectly match with transformed ABC

Hence, The correct answer is vertex B to vertex Y

For more references on transformation, click;

https://brainly.com/question/11709244

#SPJ6

Answer:

x and rotate

Step-by-step explanation:

anyone know how to get rid of a chromebook firewall cuz im at my home and i just want to download some stuff​

Answers

Answer:

you cant

Step-by-step explanation:

Answer:

...Oh lord... uh... well, use a website unblocker? Look up how to take it down? I don't have this issue because I am a hacker, but-- XD

Step-by-step explanation:

YEAH. Anyways.

i need help with this asap please

Answers

480 minutes of talk time

Find the equation of the line that contains the point (5. - 4) and is perpendicular
to the line x = 4. Write the line in slope-intercept form, if possible. Graph the lines.

Answers

Answer: y=-4

Rotate it

Good Luck!

A circle has a diameter of 50 cm. Which of these is closest to it's circumference.

A) 157 cm

B) 314 cm

C) 7,850 cm

D) 1,963 cm​

Answers

Answer:

i know the circumference is 1.57 so it is A)

Step-by-step explanation:

which situation could be represented by the equation 15.5 = x/2

Answers

Answer:

C. Julie drive 15.5 miles from her home to the grocery store. Julie drives the same path going back home. What is x, the total amount of miles traveled to the grocery store and back home?

Step-by-step explanation:

The situation in the 3rd option represents the equation, 15.5 = x/2.

Distance driven by Julie to the grocery store = 15.5 miles

Distance driven by Julie back home following the same path = 15.5 miles

Total amount of miles travelled to and fro the store, x, = 2*15.5

This means, the mile's covered going to the store or coming back home can be expressed as ½ the total amount of miles, x, covered. Which is: 15.5 = ½x

Therefore, the third option represents the equation, 15.5 = x/2.

A local business charges $20 to set up their sweatshirt printing machine with the design and $9.75 in materials per sweatshirt to print.
Write an equation for the average cost A(x) of printing x sweatshirts through this company. A(x)=?
Describe what happens to the average cost per sweatshirts as more and more are printed.
i need help

Answers

Given :

A local business charges $20 to set up their sweatshirt printing machine with the design and $9.75 in materials per sweatshirt to print.

To Find :

Write an equation for the average cost A(x) of printing x sweatshirts through this company.

Solution :

Let, number of sweatshirts sold are x.

So, average cost A(x) of printing is given by :

A(x) = 9.75x + 20

Therefore, average cost per sweatshirts are A(x) = 9.75x + 20 .

Hence, this is the required solution.

please help . imagine ^^

Answers

Answer:

A

Step-by-step explanation:

PLEASE MARK BRAINLIEST

A the answer is A, i agree with the person above

Don’t mind the question at the bottom but I need to know if this is right or not please help!

Answers

Answer:

the answer is d.

Answer:

no its not correct, the answer is d

Step-by-step explanation:

too long to explain, just trust me man

descending order 20,-30,4,0,-3,10​

Answers

20,10,4,0,-3,-30 is the answer in descending order

Answer:

20,10,4,0,-3,-30

Step-by-step explanation:

The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely

Answers

Step-by-step explanation:

9x2 − 12x + 4 = 18 - 12x + 4 = 22 - 12x = 2(11 - 6x)

length of 1 side = ± sqrt 2(11-6x) (rej neg value)

The cost of a school banquet is $85 plus $12 for each person attending. Write an equation that gives the total cost of the number of people attending.

A. Y=85x-12
B. Y=12x+85
C. Y=85x+12
D. Y=12x-85

Answers

Answer: I think that the answer is B

Step-by-step explanation:

Let’s say that x=the people attending. Since the cost of a school banquet is 85 the number 85 will be by itself, and since there is 12 for each person it will be 12x. Therefore it is B in which y=12x+85.

What is the slope of y=-3x - 2?*

Answers

Answer:

-3!

Step-by-step explanation:

The slope is always listed right before the x in any slope-intercept form. It can be negative or positive, or even a fraction. In this case, it's -3!

I really hope this helps!

Answer:

-3 is the slope

Step-by-step explanation:

y = mx + b.

The variable m represents the slope. So, what ever number replaces the variable m(-3) is the slope.

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will mark BRAINLIEST!!!

Answers

Answer:

4th and 5th option

Step-by-step explanation:

you can easily add eqn 1 and 2 to get rid of the y term for 4th option and get rid of x term by addition as well for the 5th option

this is a topic on simultaneous equation. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic and some other tips :)

Answer:

the last two

Step-by-step explanation:


Which is equivalent to
^3*square root* 8^1/4x ?
pls hurry it’s a timed test

Answers

Answer:

[tex]12\sqrt{8} ^{x}[/tex]

Step-by-step explanation:

Find the area of the shape above. Will give brainliest answer.

Answers

Answer: 3/5

Step-by-step explanation:

A=a+b/2h

Since the bottom width = 4 and the top length =2 and the length = 5

2+4=6

2(5)=10

so 6/10 = 3/5

Is there a constant rate of change? If yes, what is the rate?


Plz help I’m lost

Answers

What’s the question lol

Simplify the expression by adding or subtracting the linear expressions. 12x + 6 - 8x + 7 *
4x + 1
4x + 13
20x + 13
20x + 1

Answers

Answer:

4x+13

Step-by-step explanation:

bc 12-8=4

6+7÷13

Combine like terms.
12x+6-8x+7
12x-8x= 4x
6+7=13
Answer: 4x+13

A dressmaker needs to cut 6-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 6-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?

Answers

Answer:

Step-by-step explanation:

Answer:

60 pieces

Step-by-step explanation:

What we know:

There are 12 inches in a foot

There are 5 6-feet lengths of ribbon

So, we simply need to multiply.

Since there are 12 inches in a foot, and we only need 6 inches for each one, we can see that she makes 2 pieces for each foot.

Multiply

2*6=12

She makes 12 pieces for each length of ribbon.

Now multiply it by 5

12*5= 60

She can make 60 pieces from 5 of these length of ribbon.

Hope this helps!

Need help and exact locations please, very confused

Answers

Answer:

here you go ;d

Step-by-step explanation:

pleaseeeee helpppppp​

Answers

Answer:

BCE

Step-by-step explanation:

I hoped this helped and mark me as brainly pls

Answer:

a c b d

Step-by-step explanation:

simplify the expression -9x-8+4x+7

Answers

Answer: 5x - (-1)

Step-by-step explanation:

Answer:

-5x-1

Step-by-step explanation:

First combine like terms

-9x-8+4x+7 combine -9 and 4

-5x-8+7 then combine -8 and 7

-5x-1

How are ROC (rate of change) and slope related AND different

Answers

Answer:

Rate of change and slope is the same since they are both terms of every rate, but rate of change can be said in any terms as in exponential and linear, etc. While slopes are only for linear equations.

Step-by-step explanation:

Hope this helps :)

Segment AB is the diameter of circle M. The coordinates of A are (1,6). The coordinates of M are (-3, 8). What are the coordinates of B
1) (-7,10)
2) (5,4)
3) (-1,7)
4) (-2,1)

Answers

Step-by-step explanation:

Let the midpoint formula be expressed as;

M(X,Y) = {x2+x1/2, y2+y1/2}

X = x2+x1/2

Y = y2+y1/2

Get x2

-3 = x2 + 1/2

-6 = x2 + 1

x2 = -6-1

x2 = -7

Get y2;

Y = y2+y1/2

8 = y2+6/2

16 = y2+6

Y2 = 16-6

y2 = 10

hence the coordinate of B is (-7, 10). Option A is correct

The sum of ten consecutive whole even numbers is 1190

Answers

Answer:In other words, since even numbers are the multiples of 22, we can represent an even integer nn by 2k2k, where kk is also an integer. So if we have the even integers 1010 and 1616, we can rewrite them asn=2k→10=2(5)

n = 2k\, \to \,\,16 = 2\left( 8 \right)\,n=2k→16=2(8)

Step-by-step explanation:

Consecutive Even Integers

The best way to illustrate what consecutive even integers are through the use of examples. Observe that any pair of two consecutive even integers are 22 units apart. In other words, if you pick any even integer in the set of consecutive even integers then subtract it by the previous one, you will always get the difference of \bold{+2}+2 or simply \bold{2}2, written without the \bold{+}+ symbol.

The ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 . The store has 90 BMX bikes . How many mountain bikes does the store have ?

Answers

Answer: 60

Step-by-step explanation:

From the question, we are informed that the ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 and that the store has 90 BMX bikes .

To calculate the number of mountain bikes that the store has goes thus:

= 2/3 × 90

= 2 × 30

= 60 mountain bikes

Mya creates the
table below to
show how much
fruit to put in her
shake. How much
fruit should she
use if she is
making 5 servings?

Answers

mya should put 3/5 in each serving.

Which statement about fractions equivalent to One-half is always true?

The numerator is twice the denominator.
The denominator is twice the numerator.
The denominator is equal to the numerator.
The numerator is equal to one less than the denominator.

Answers

The denominator is twice the numerator
X/2X = 1/2

Answer:

B. The denominator is twice the numerator.

Step-by-step explanation:

LOOK AT THE PICTURE
Determine whether the graph represents a proportional relationship.

Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin

Answers

Answer:

No, it is not a proportional relationship because the graph does not go through the origin

Step-by-step explanation:

Has to be in the origin in order to be proportional

Answer:

the anser is C

Step-by-step explanation:

i took the test

Can A Expert Answer This! Determine if the two triangles are congruent.

Answers

Answer:i say the answer is the first two and the last two

Step-by-step explanation:

Answer:

HL

Step-by-step explanation:

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