Find the value of x to 2dp in the equation 2x² + 5x = 9​

The first step in finding the incenter of the triangle, JKL using paper folding is to Fold the paper so that the legs of ∠K overlap.

The first step in using the paper folding method is to fold the paper so that the legs of the triangle overlap.

Then unfold the paper and draw a line at the crease you find. This will allow you to label the point of intersection after you do the same for all the sides of the triangle. This point is the incenter.

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[tex] \qquad \qquad \rm \large \dag \: Answer \: \dag[/tex]

We have been given a Quadratic equation, where we have to find the real values of x ~

So, let's proceed with middle term splitting method :

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: x {}^{2} + 6x - x - 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x(}^{} x + 6) - 1(x + 6) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: (x + 6)(x - 1) = 0[/tex]

Now, we have two conditions here~

Either (x + 6) = 0

[tex]\qquad \sf  \dashrightarrow \: x = - 6[/tex]

or (x - 1) = 0

[tex]\qquad \sf  \dashrightarrow \: x = 1[/tex]

Answer:

The price of other chair is $3841.25

Step-by-step explanation:

Step 1: Write equations.

First equation: The price of one type of chair is three times the price of the other.

Let x be the price of one type of chair and y the price of the other type of chair.

[tex]x = 3y[/tex]

Second equation: The total price for both is $15365

[tex]x + y = 15365[/tex]

Step 2: Solve the system of equations.

1) [tex]x = 3y[/tex]

2) [tex]x + y = 15365[/tex]

Substitute x in the second equation with x from first.

[tex]x + y = 15365\\(3y) + y = 15365[/tex]

Now solve for y (y is the price of the other chair).

[tex]4y = 15365\\y = \frac{15365}{4}\\y = \$3841.25[/tex]

Answer:

2√13

Step-by-step explanation:

⇒ √(3√3)² + 5²

⇒ √27 + 25

⇒ √52

⇒ 2√13

answer:-1

reason :

Once the numbers add up, once they decrease

what does it mean?

it mean that:

The first and second numbers we add are one, they become two

The second and third numbers are one and two. We subtract the second number from the third number, it becomes negative one and ...

1+1=2

1-2=-1

2+(-1)=1

-1-(+1)=-2

1+(-2)=-1

so we should - them

-2-(-1)=-1

The next number in the given sequence will be negative 1.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

The first and second numbers we add are one, they become two.

The second and third numbers are one and two. We subtract the second number from the third number, it becomes a negative one, and ...

1 + 1 = 2

1 - 2 = - 1

2 + (-1) = 1

-1 - (+1) = -2

1 + (-2) = -1

Then the next number in the sequence will be given as,

-2 - (-1) = -1

The next number in the given sequence will be negative 1.

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Answer:

Step-by-step explanation:

slope is rise over run  2/5,  and it's positive b/c the line goes up hill.

when X =0  then the line is at -6

y = (2/5)X - 6

slope = 2/5

y intercept is -6

Answer:

Step-by-step explanation:

Answer:

(-2, -11)

(0, -1)

(2, 9)

(4, 19)

Step-by-step explanation:

when x = -2:

⇒ y = 5(-2) - 1

⇒ y = -10 - 1

⇒ y = -11

when x = 0:

⇒ y = 5(0) - 1

⇒ y = 0 - 1

⇒ y = -1

when x = 2:

⇒ y = 5(2) - 1

⇒ y = 10 - 1

⇒ y = 9

when x = 4:

⇒ y = 5(4) - 1

⇒ y = 20 - 1

⇒ y = 19

Answer:

tan cox³ / 5s

Replace ^-1 with ^(-1)

Replace x3 with x³

Simplify

x³ / 5

Use equation to solve

tan • ((co • (s-1)) • x³ / 5)

Take the previous equation and format it in a simpler form

tan • ((co • (s-1)) • x³ / 5) ⇒ tan • cox³ / 5s

tan cox³ / 5s

The coordinates of the point B are given as (2, - 4)

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Under a reflection in the y- axis

A point (x, y) → (- x, y), hence

A(- 2, - 4) → B(2, - 4)

Therefore the coordinates of the point B are given as (2, - 4)

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Answer:

x>-1

Step-by-step explanation:

divide 3 on both sides

Answer:

we know,

Volume of cylinder = Base area × height

1500= 100×h

so, Height h = 15 cm

The true statements about the scatter plots are

From the graph of the scatter plot, we have the following highlights:

The above highlights mean that (a), and (d) are true

Since the graph is a linear association, then it can be used to model hourly rates

This means that (e) is true

Hence, the true statements about the scatter plots are (a), (d) and (e)

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Answer:

(x-6)^2 =40

Step-by-step explanation:

The correct answer is (x-6)^2 =40

why??

Expand (x-6)^2

x^2 -12x+36 =40

Transpos  40 to the left side

So,

x^2 -12x+36 -40

Which is

x^2 -12x -4=0

Answer:

y = 2x + 5

Step-by-step explanation:

Here we have the two points as (x1=1, y1=7) and (x2 = -3, y2 = -1)

Slope of this line = (y2-y1)/(x2-x1) = (-1 -7)/(-3 - 1)  = 8/4 = 2

Using slope intercept form of y = mx + c

we get y = 2 x + c

Substituing the coordinates (1,7) in this equation gives us

7 = 2.1 + c or c =5

hence y = 2x + 5

Check

if x = -3 then y = (-2)(-3) + 5 = -6 + 5 = -1 which satisfies the coordinates for the second point

We can evaluate the mean, median, standard deviation and many other statistical measures from the stem-leaf table.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

From the stem leaf table, we can find different statistical measures.

From the picture attached, we can find different data

The minimum value  = 12

The maximum value = 49

Total number of observation = 30

The sum of the all data = 986

Mean of the data = 986/30 = 32.87

Median of the data = 34.5

Standard deviation = 11.24

Variance = 126.4

Thus, we can evaluate the mean, median, standard deviation and many other statistical measures from the stem-leaf table.

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The simplified form of the expression (2 + 8) : 5 + 3 x 4 – (1 + 5) in the ratio is 10 : 11.

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

The given expression is

(2 + 8) : 5 + 3 x 4 – (1 + 5) : 2 =

10 : 5 + 12 - 6

10 : 11

The simplified form of the expression in the ratio is 10 : 11.

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Answer:

12*1/4= 3

30 is C

16*3/4 = 12

31 is B

Answer:

30: C

31: B

Step-by-step explanation:

30: If the width of the vegetable garden is 1/4 of it's length, we have to divide the length of the garden (12 feet) by 4 and we get 3 feet.

31: We just need to multiply 16 by 3/4 and we get 12.

Answer:

sin2x = √3/2.

Step-by-step explanation:

sin2x = 2 sinx cosx

So sinx cosx = 1/2 sin2x

So  1/2 sin2x = √3/4

sin2x = √3/4  * 2

sin2x = √3/2.

Answer:

A. Every small detail listed.

Step-by-step explanation:

This is incorrect because a summary is short. Listing every small detail would make your summary too long.

hope this helps

have a good day

Answer:

6.4%

Step-by-step explanation:

percentage decrease= decrease/actually amount×100

2.35-2.20/2.35×100

0.15/2.35×100

0.06383×100=6.4%

Percentage decrease=6.4%

Answer:

i would like to.    the answer is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer would be 4, because 4 factors into every number.

The circumference of the circle is  [tex]C =\dfrac{20\pi}{4+\pi}[/tex]  when A is a minimum.

The circumference of the circle is the length of the curve traced out from the fixed point which is equidistant from the locus of the curve.

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

[tex]s=\dfrac{10-\pi r}{2}[/tex]

The area of the circle is = πr²

The area of the square is = s²

A represents the total area of the square and circle.

A=πr²+s²

Putting the value of s

[tex]A =\pi r^2 +(\dfrac{10-\pi r}{2})^2[/tex]

[tex]A =\pi r^2 +(\dfrac{10}{2})^2-2\times \dfrac{10}{2}\times \dfrac{\pi r}{2}+(\dfrac{\pi r}{2})^2[/tex]

[tex]A = { \pi r^2}(\dfrac{4+\pi}{4})-5\pi r+25[/tex]

For maximum or minimum [tex]\dfrac{dA}{dr}=0[/tex]

Differentiating with respect to r

[tex]\dfrac{dA}{dr}=\dfrac{2\pi r(4+\pi )}{4}-5 \pi[/tex]

Again differentiating with respect to r

[tex]\dfrac{d^2A}{dr^2}=\dfrac{2\pi (4+\pi )}{4}[/tex]    > 0

For maximum or minimum

[tex]\dfrac{dA}{dr}=0[/tex]

[tex]\dfrac{2\pi r(4+\pi )}{4}-5 \pi=0[/tex]

[tex]r = \dfrac{10\pi}{\pi (4+\pi)}[/tex]

[tex]r=\dfrac{10}{4+\pi}[/tex]

Therefore the circumference of the circle is

C = 2 π r

[tex]C = \dfrac{20 \pi }{4+\pi }[/tex]

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Answer:

60 months

Step-by-step explanation:

20 000 =  5000 + 250 m

20 000  -  5000   = 250 m

(15 000) / 250 = m = 60 months

Answer:

It would take roughly four months

Step-by-step explanation:

month one: 5,250

month two: 10,500

month three: 15,750

month four: 21,000

Answer:

(2)(2)+10x+12/x+3

=

10x+16/x+3

Step-by-step explanation:

The arc YOR of the circle is the major arc

In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The formula for Area of a sector is given as;

θ/360 * πr²

where;

θ is the central angle of the sector

r is radius

Now, looking at the given options we can say that the only one that represents the area of the sector is;

A = n/360 * πr²

where n is the central angle of the sector

Given data ,

Let the arc of the sector be represented as YOR

Now , the center of the circle is Q

The angle subtended by the minor arc of the circle = 150°

So , the remaining angle = 360° - 150° = 210°

And , the angle subtended by the major arc = 210°

So , the arc YOR is the major arc of the circle

Hence , the major arc is YOR

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Check the picture below.

so we have a rectangle with two circles, the rectangle is a 21x10.5 and the circle's have a radius of 5.25, so let's get the area of the two circles and subtract it from the whole area of the containing rectangle.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(21)(10.5)}~~ - ~~\stackrel{two~circles}{2[\pi (5.25)^2]}}\implies 220.5~~ - ~~55.125\pi ~~\approx~~47.32[/tex]

Answer:

[tex]x=\frac{ln(\frac{19}{7}) }{2}[/tex]

Step-by-step explanation:

7*e^2x + 10 = 29

Subtract 10 to both side.

7*e^2x = 19

Divide 7 to both side.

e^2x = 19/7

Inverse e with ln.

ln(19/7) = 2x

Divide 2 to both side.

[tex]x=\frac{ln(\frac{19}{7}) }{2}[/tex]