multiply -24, and add -10

We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things

Where , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;

[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]

Now , coming back on the question ;

We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;

[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]

[tex]{: \implies \quad \sf D=36-72}[/tex]

[tex]{: \implies \quad \sf D=-18}[/tex]

As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]

[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]

Given:

DE||FG and KL is perpendicular to FG.

To find:

The measure of angle x.

Solution:

If two lies intersect each other, then vertical opposite angles are equal.

[tex]m\angle ACB=63^\circ [/tex]         (Vertically opposite angles)

[tex]m\angle BAC=x^\circ [/tex]         (Vertically opposite angles)

KL is perpendicular to FG.

[tex]m\angle ABC=90^\circ[/tex]

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In triangle ABC,

[tex]m\angle ABC+m\angle BAC+m\angle ACB=180^\circ[/tex]

[tex]90^\circ+x^\circ+63^\circ=180^\circ[/tex]

[tex]x^\circ+153^\circ=180^\circ[/tex]

[tex]x^\circ=180^\circ-153^\circ[/tex]

[tex]x^\circ=27^\circ[/tex]

Therefore, the measure of angle x is 27 degrees.

Answer:

There would be more total energy at position B

If Eli cut both pieces into 4th's, in all they would have 8 4th's.

Because 4 + 4 + 8 :)

Answer:

looks like it might be 4 but I'm not a 100% sure

Answer:

132cm

Step-by-step explanation:

Answer:

4,575,000,000

Step-by-step explanation:

Answer:

It's 4,570,000,000.

Step-by-step explanation:

The first guy had a typo right after the 7.

Answer:(3,1)

Step-by-step explanation:

Answer:

example lang po

Flagpole height is 50 ft.

Explanation:

This is a ratio problem

height of object

length of shadow

Let the height of the flagpole be

x

⇒

6

3

=

x

25

x

=

6

×

25

3

=

50

f

t

Answer:

Step-by-step explanation:

Answer:

An Enlargement is the only transformation that changes the size of a shape. Two items of information are required to enlarge a shape: the Centre of Enlargement and the Scale Factor. ... If a shape is being enlarged by a scale factor of 2, the distance from the centre of enlargement to each vertex will be twice the size.

Step-by-step explanation:

hope that helps :)

I can't see them clearly....

Answer: The third one.

Step-by-step explanation: The hottest time of the day is around 3 p.m. Heat continues building up after noon, when the sun is highest in the sky, as long as more heat is arriving at the earth than leaving.

Answer: All of them

Step-by-step explanation: I think zll of them

edit: 5(6)+.65*y

original was wrong I wasn't thinking

The area of the model on the right = area of model on the left × 3² = 216 sq. cm.

A model represents a real object on a drawing paper.

Given that the model is triangular in shape, the model on the right is 3 times the model on the left.

Therefore, area of model on the left = area of model on the left × 3².

Area of model on the left = 24 × 9

Area of model on the left = 216 sq. cm.

Learn more about models on:

https://brainly.com/question/166401

#SPJ1

The height of the pickle ball when it was hit is = h = AB = 8.5 feet

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent.

Applications of Trigonometry:

Measuring grounds lots, and fields,

Measuring ground surfaces,

Making building perpendicular and parallel,

Roof inclination and roof slopes,

Installing ceramic tiles and stones,

The height and width of the building.

Given in figure

(in feet)

ED = 3

BC = 34

BD = 22

AB = h = height of the pickle ball

Therefore DC = 34 - 22 = 12

In ΔEDC

Let ∠ECD = a

tan a = ED/DC

⇒ tan a = 3/12

⇒ tan a = 1/4         (1)

In ΔABC

∠ACB = a

tan a = h/34

⇒ 1/4  = h/34      (from 1)

⇒ h = 34/4

⇒ h = 8.5

Hence height of the pickle ball is 8.5 feet.

To learn more about Applications of Trigonometry visit:

brainly.com/question/26719838

#SPJ1

Answer:

$135.60

Step-by-step explanation:

120*13%=15.6

15.60+120.00=$135.60

Answer:

im not good with trigangles but illtry to help

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]sin60=\frac{HR}{72}\\ \\ HR=72sin60\\ \\ \text{They are checking to see if you know the relationships of the 30,60,90 triangle whos sides opposite of those angles are }1,\sqrt{3},2\\ \\ sin60=\frac{\sqrt{3}}{2}\\ \\ HR=\frac{72\sqrt{3}}{2}\\ \\HR=36\sqrt{3}[/tex]

Answer:

55135 lbs (rounded to the nearest pound)

Step-by-step explanation:

​diameter of tank = 15 ft

Radius = 15/2 =7.5

volume of hemisphere = 2/3 ×π× 7.5³=883.5729

total weight of water = 62.4 × 883.57 = 55134.768

55134.768 rounded to the nearest pound is 55135 lb

♥ Hope this helped ♥

Answer:

The answer is

90 degrees the first one is I don't know about the rest sorry

Step-by-step explanation:

4^3

you can write it like 4 × 4 × 4

you can also call it "Four to the Third power".

Answer:

y = 3x+4

Step-by-step explanation:

Hope this helps!

Answer:

y=3x+4

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

y=3x+4

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

9514 1404 393

Answer:

  price per gallon = (total cost)/(number of gallons)

Step-by-step explanation:

Price per gallon is found by dividing the price by the number of gallons:

  price per gallon = (total cost)/(number of gallons)

Answer:

255

Step-by-step explanation:

so you first do the bracket so 8- 5 = 3

then 17 × 3 =51

and 51× 5 = 255

Answer:

n=5

Step-by-step explanation:

divide by 0.5

6n-4=26

(add 4 to both sides)

6n=30

Divide both sides by 6

n=5

Answer:

when input = n, Output = 4n

Step-by-step explanation:

Output = k(input)

Where,

k = constant

Find k When output = 8 and input = 2

Output = k(input)

8 = k(2)

8 = 2k

k = 8/2

k = 4

Find k When output = 28 and input = 7

Output = k(input)

28 = k(7)

28 = 7k

k =28/7

k = 4

Find output when input = n

Output = k(input)

= 4(n)

= 4n

Output = 4n

when input = n, Output = 4n

Answer:

2

Step-by-step explanation:

5-3=2

Answer:

2

Step-by-step explanation:

5 - 3 = 2