-[52-[36-58(24x82) x36] +(-42)]=​

9514 1404 393

Answer:

  it cannot be proven

Explanation:

You cannot prove what isn't true.

We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.

Answer:

For quadratic equations that cannot be solved by factorising, we use a method which can solve ALL quadratic equations called completing the square. We use this later when studying circles in plane analytic geometry.

Completing the square comes from considering the special formulas that we met in Square of a sum and square of a difference earlier:

(x + y)2 = x2 + 2xy + y2 (Square of a sum)

(x − y)2 = x2 − 2xy + y2 (Square of a difference)

To find the roots of a quadratic equation in the form:

\displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax

2

+bx+c=0,

follow these steps:

(i) If a does not equal \displaystyle{1}1, divide each side by a (so that the coefficient of the x2 is \displaystyle{1}1).

(ii) Rewrite the equation with the constant term on the right side.

(iii) Complete the square by adding the square of one-half of the coefficient of x to both sides.

(iv) Write the left side as a square and simplify the right side.

(v) Equate and solve.

Example 1

Find the roots of x2 + 10x − 4 = 0 using completing the square method.

Answer

Example 2

Solve 4x2 + x = 3 by completing the square.

Answer

Exercises

Solve the following quadratic equations by completing the square

Q1. \displaystyle{2}{s}^{2}+{5}{s}={3}2s

2

+5s=3Answer

Q2. \displaystyle{3}{x}^{2}={3}-{4}{x}3x

2

=3−4xAnswer

Q3. \displaystyle{9}{v}^{2}-{6}{v}-{2}={0}9v

2

−6v−2=0Answer

Q4. \displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax

2

+bx+c=0Answer

1. Solving Quadratic Equations by Factoring

3. The Quadratic Formula

Answer:

Step-by-step explanation:

(27 - 23)/(8 - 4)= 4/4= 1

y - 23 = x - 4

y = x + 19

Answer:

60 miles per hour

Step-by-step explanation:

360 miles / 6 hours = 60 miles per hour

Answer:

60, I hope this helped and please mark brainliest!

Step-by-step explanation:

This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.

Answer:

Each costume will take 7 1/3 yards of green fabric

Step-by-step explanation:

They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.

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Explanation:

There are two ways to solve this

The first method will have us distribute the 2 through to each term, then we solve for y

6 = 2(y+2)

6 = 2y+4 .... distribute

2y+4 = 6

2y = 6-4 .... subtract 4 from both sides

2y = 2

y = 2/2 .... divide both sides by 2

y = 1 is the answer

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Or we can solve through this set of steps

6 = 2(y+2)

6/2 = y+2 ...... divide both sides by 2

3 = y+2

y+2 = 3

y = 3-2 .... subtract 2 from both sides

y = 1

Either way, we get the same answer.

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

To check the answer, replace every copy of y with 1

Simplifying should lead to 6 on the right side

6 = 2(y+2)

6 = 2(1+2)

6 = 2(3)

6 = 6

Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.

Answer:

Domain: {7, 4, 0} Range: {-8, 4, 1, 8}

Step-by-step explanation:

the domain is just the x values and the range is just the y values when just a list of cordinates are given.

Answer:

Let F = the force (6 lbs) and x be the distance that the spring is stretched (12 inches).

F = kx

6 lb = k*(12 in.)

6/12 = k = 0.5 lb/in.

A weight of 6 lb stretches a spring a distance of 12 in. The constant k for the spring will be  0.5 lb/in.

If the object is of mass m kg and force applied on it is of F N in the direction of motion, then the acceleration of that object is evaluated as:

a=  F/m

Given; A weight of 6 lb stretches a spring a distance of 12 in.

Also,

Let F = the force and x be the distance that the spring is stretched

F = kx

6 lb = k*(12 in.)

6/12 = k = 0.5 lb/in.

Therefore, the constant k for the spring will be  0.5 lb/in.

Learn more about spring here;

https://brainly.com/question/13258939

#SPJ2

Answer:

y = 1.25x + 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

( -4 , -3 ) ( 8 , 12 )

12 + 3   15 = 5

8 + 4    12 = 4

↑ slope = 5/4

↓ point slope form: y - y₁ = m ( x - x₁ )

y + 3 = 5/4 ( x + 4 )

y + 3 = 5/4x + 5

-3

y = 5/4x + 2

The answer is,

[tex]x < - 3[/tex]

B, the correct answer is B

Answer: 5 2/6

Step-by-step explanation:

Answer:

5 2/3

Step-by-step explanation:

3 1/3 + 2 1/3

10/3 + 7/3

= 17/3

= 5 2/3

I hope I helped!!

Answer:

.........jdjdjdndjxbxbbxx

Answer: A because it keep going none stopping

Step-by-step explanation:

Step-by-step explanation:

For no. 4

x = 180° - 98° - 50°

x = 32°

For no. 5

x = 180°- 67°-56°

x = 57°

For no. 6

x = 180° - 22° - 47°

x = 111°

Hope it will help :)❤

Answer:

D.3

Step-by-step explanation:

In the equation for a line in the form y=mx+c, m represents the slope.

Therefore the slope is 3.

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + - 7 ← is in slope- intercept form

with slope m = 3

Answer:

1) equation is set up to determine when the cost of printing at home is the same as the cost of printing at the office

2) p = 500 means that, at printing 500 pages, the costs of home versus office printing are the same

Step-by-step explanation:

Answer:

1) No, it does not represent the story.

2) It represents the number of pages.

Step-By-Step Explanation:

1) It has nothing to do with the story.

2) It says: Let p represent the number of pages

Answer:

x=7

Step-by-step explanation:

Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.

14x+7+10x+5=180

First, add like terms

24x+12=180

Then, subtract 12 from both sides

24x=168

Next, divide both sides by 24

x=7

Answer:

The answer is 90

Step-by-step explanation: Im not 100% sure but yeah.

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft

Step-by-step explanation:

Answer:

Are you guys classmates?

i believe it’s (0,4) since it’s asking for vertex.

Answer:

The numbers are 11 and 49.

Step-by-step explanation:

x = 5y - 6 This is just the first sentence written as an equation.

x + y = 60 This is just the second sentence written as an equation.

5y - 6 + y = 60 Substitute x for what you know it is equal to

6y - 6 = 60 Collect like terms

6y = 66 Add 6 to each side

y = 11 Divide each side by 6

x = 5 × 11 - 6 Substitute y for what you know it is

x = 55 - 6 Simplify by working out 5 × 11 = 55

x = 49 Subtract 6 from 55 to get 49

Answer:

If you did it three times it would be 4 1/2. If you wanted to make it at least 4 3/4 then you would need to do 1 1/2 4 times.

Step-by-step explanation:

Answer:

69.4 inches

Step-by-step explanation:

A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.

To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.

AD ⊥ BC.

Since adjacent sides are equal to each other, hence:

BC = BD, AC = AD

The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)

[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]

BC = BD, AC = AD

Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches

Answer: 69

Step-by-step explanation:

Answer:

146

Step-by-step explanation:

180=4+30+x

180=34+x

180-34=x

146=x

Answer:

Population is the total number of people that fall into the description of those that the research concerns.

In this case, Population is: Everyone who signed a card saying that they intend to quit smoking.

Sample. This is a subset of the population that the research is based on.

Sample = 1,000 people surveyed.

Parameter and Statistic are both descriptive measures but parameter is for the population and statistic is for the sample.

Parameter = Percentage of total population who have not smoked in 6 months.

Statistic = 21% of sample who have not smoked in 3 months.