HELP meeeeeeeeeeeeeeeeeeeee

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:

146

Step-by-step explanation:

180=4+30+x

180=34+x

180-34=x

146=x

Answer:

Are you guys classmates?

Answer:

11

Step-by-step explanation:

13×13 = 169

17 × 17 = 289

289 - 169 = 120

Square root of 120 is 10.95

Round answer to 11

Answer:

9/40

Step-by-step explanation:

120 × ⅖ = 48

120 × ⅜ = 45

120 - 93 = 27

27/120 = 9/40

Based on the proportions and the counters in the bag, the fraction that is green is 9 / 40.

You can find the number of green counters by:

= Number of counters - Red counters - Yellow counters

= 120 - (120 x 40%) - (120 x 3/8)

= 120 - 48 - 45

= 27 green counters

= Number of green counters / Total number of counters

= 27 / 120

To take it to the lowest term, divide both numbers by 3:

= 9 / 40

In conclusion, the fraction is 9 / 40.

Find out more about fractions at https://brainly.com/question/17743912.

Answer:

You still need help? :P

Step-by-step explanation:

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:

-1/3(b+21)

Step-by-step explanation:

Answer:

Hope this helps, thank you !!

Answer:

3^7

Step-by-step explanation:

Answer:

3^7

Step-by-step explanation:

(3^4)^-2 • (3^5)^3 = 2187

3^7 = 2187

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

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:

It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1

Step-by-step explanation:

Answer:

1.5 or 3/2

Step-by-step explanation:

The midpoint of the interval [-3, 6] along the number line is 1.5.

The midpoint of an interval is the point that lies exactly in the middle of the two endpoints.

To find the midpoint of the interval [-3, 6], we use the midpoint formula:

Midpoint = (Endpoint1 + Endpoint2) / 2

In this case, Endpoint1 is -3, and Endpoint2 is 6:

Midpoint = (-3 + 6) / 2

Midpoint = 3 / 2

Midpoint = 1.5

The midpoint of the interval [-3, 6] is 3/2. This means that the point exactly halfway between -3 and 6 on the number line is 1.5 units to the right of -3 and 1.5 units to the left of 6.

Visually, if you plot -3 and 6 on a number line, the midpoint 3/2 (or 1.5) would be located at the center, equidistant from both endpoints.

To know more about number:

https://brainly.com/question/30328809

#SPJ2

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:

b. $2.65

Step-by-step explanation:

$10.00 - $7.35 = ?

$10.00 - $7.35 = $2.65

Answer:

your answer would be b. $2.65

The answer is,

[tex]x < - 3[/tex]

Step-by-step explanation:

X=49-18/13

X=31/13

X=2.38

so nearest 100 th would be 2.4

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:

36/11

Step-by-step explanation:

Answer:

36/15

Step-by-step explanation:

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

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.

Answer:

6-7 dollars maybe?

Step-by-step explanation:

you didn't give a picture so Im just rounding

(sorry if I'm wrong)

Answer:

$135

Step-by-step explanation:

180 decrease 25% =

180 × (1 - 25%) = 180 × (1 - 0.25) = 135

Answer:

Step-by-step explanation:

Answer:

262,144

Step-by-step explanation:

2^0 = 1

(2^6)^3 = 2^18 = 262,144

Answer: 262,144.

Step-by-step explanation: (26)3(20)

=(643)(20)

=262144(20)

=(262144)(1)

=262144

Answer:

2 Triangles with the bilateral of the sun to the 2nd power of pie

Step-by-step explanation:

I took the test ;)

Answer:

10=1x+25

slope=1

y-int-25

Thats all i know so far i will keep working on it

Step-by-step explanation:

Given:

The arrow diagram of a relation.

To find:

Whether the given relation is a function or not.

Solution:

A relation is a called a function it there exist a unique y-value or unique output value for each x-value or input value.

From the given arrow diagram it is clear that y=2 and y=-1 for x=-1.

Since we have more than one value of y at x=-1, therefore, the given relation is not a function.

Hence, the correct option is B.