solve the following x2-2x-24=0

===========================================================

Explanation:

Refer to the remote interior angle theorem (some books call it the exterior angle theorem). That says we can add the two interior angles and the sum is the exterior angle that is not adjacent to either interior angle.

(interiorAngle1) + (interiorAngle2) = exterior angle

(5x) + (2x+6) = 8x-11

7x+6 = 8x-11

6+11 = 8x-7x

17 = x

x = 17

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

Or the slightly longer method has you follow these steps:

y = missing interior angle in the upper right corner

The angle (8x-11) and angle y are supplementary

(8x-11) + (y) = 180

y = 180-(8x-11)

y = 180-8x+11

y = -8x+191

For any triangle, the three interior angles always add to 180

(angle1)+(angle2)+(angle3) = 180

(5x)+(2x+6)+(-8x+191) = 180

-x+197 = 180

-x = 180-197

-x = -17

x = 17

Answer:

D

Step-by-step explanation:

As you can see in the pic, range is the y-coordinate. C is not the answer bcs the range of C is {0,1,2,4}

Answer:

4%

Step-by-step explanation:

Given

Formula

Solving.

Change 0.04 to percent

Answer:

Answer:

The answer is 4

Step-by-step explanation:

because add 4 then divided by 4

Answer: -3

Step-by-step explanation:

The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]

The sum of the angles of any triangle is 180°.

75° + 75° + m<BAC = 180°

m<BAC = 180° - (75° + 75°) = 30°

Answer:

  y = x³ +2x² -x -2

Step-by-step explanation:

A polynomial with root q has a factor (x -q). The factored form of the polynomial is ...

  y = (x -1)(x +1)(x +2)

  y = (x² -1)(x +2) . . . . . . partial simplification

  y = x³ +2x² -x -2

move it 0.25 units right

Answer:

2.45 seconds to the nearest hundredth.

Step-by-step explanation:

Acceleration a = -5, distance s = 15, time  = ?.

Final  velocity = v =  0.

We need to use the equations of motion under constant acceleration.

v^2 = u^2 + 2as       where u is the initial velocity

0 = u^2 + 2*-5*15

u^2 = 150

so u = √150

Now we use v = u + at:

0 = √150 - 5t

t = √150/5

t = 2.45 seconds.

Answer:

m / 6/7 = 5/6

m = 35

Step-by-step explanation:

Answer:

Step-by-step explanation:

The quotient of m and 6/7 is 5/6:

The equation you can use to find the amount of money, v, Samir received for each video game is;

4v - 23.65 = 6.35 and v = $7.5

Samir sold 4 oh his old star leaper video games.

If the amount received for each video game is v, the total cost of the 4 video games is; 4v

Thus, this equation is;

4v - 23.65 = 6.35

Solving this gives;

v = $7.5

Read more about algebra word problems at; https://brainly.com/question/21405634

Answer:

6x + 12 < 10

Step-by-step explanation:

The side 10 is greater than 6x+12

Answer:

The answer is 4.5 cups I hope this helps :D

Answer:

22 x ² − x y + 9 x

Step-by-step explanation:

The simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct

what is simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter).

simplify,

[tex]3x^{2}[/tex] + 7xy + 9x + (-8xy) + [tex]21x^{2}[/tex]

3[tex]x^{2}[/tex] + 21[tex]x^{2}[/tex] + 7xy - 8xy + 9x

24[tex]x^{2}[/tex] - 1xy + 9x

hence, the simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct

To learn more about simplification from here,

https://brainly.in/question/25508298

#SPJ2

Answer:

unbiased nonrandom

Step-by-step explanation:

By picking only people from 1st period they are not random.

They haven't said anything that would make these people biased.

Answer:

unbiased nonrandom

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve this system of equations, let's first find the value y. We can replace the x in the second equation with 11 + y, since we are told in the first equation that x is equal to 11 + y. So, let's replace x:

2(11 + y) + y = 19

22 + 2y + y = 19

22 + 3y = 19

3y = -3

y = -1

And look at that - we've found our y-value! Now, we can replace the y in the first equation with -1 to find the value of x.

x = 11 + (-1)

x = 10

So, the solution to this system of equations is (10, -1). Hopefully that's helpful!

Answer:

86

Step-by-step explanation:

43 x 2=86

Answer:

Above is the answer, coupled with detailed step-by-step explanations. Thank you!

Answer:

A. 2(x+y+1). lmk if you need any more awnsers

Answer: 50

Step-by-step explanation: add DBC and ABD to get 50 ABC is 50

Answer:

Hannah

Step-by-step explanation:

Anna: Page 29 + number of pages read t days into the month

number of pages read t days in the month = 9 t times = 9 * t

Anna: 29 + 9t

Hannah: 7 + 11t using the same logic

14 days in: t = 14

Anna: 29 + 9*14 = 155

Hannah: 7 + 11 * 14 = 161

Hannah is further along

The equations for Anna's progress A = 29 + 9t and Hannah's progress H = 7 + 11t show that after 14 days, Hannah is farther along in the book with page 161 compared to Anna's page 155.

The equation we would write for each situation in terms of t are explained below:

For Anna:

A = 29 + 9t

For Hannah:

H = 7 + 11t

After 14 days:

For Anna: A = 29 + 9 * 14 = 29 + 126 = 155

For Hannah: H = 7 + 11 * 14 = 7 + 154 = 161

After 14 days, Hannah is farther along in the book as she is on page 161 while Anna is on page 155.

Learn more about Algebraic Equation on:

https://brainly.com/question/4344214

#SPJ3

Answer: See below

Step-by-step explanation:

Isolate x for x-2y+2z=9

3x=9+2y

[tex]x=\frac{9+2y}{3}[/tex]....(1)

Substitute (1) into the 2nd equation

[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]

[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]

7y=-3

y=-3/7

Substitute y=-3/7

[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]

[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]

Isolate z by substituting it

[tex]3z+\frac{53}{7}=16[/tex]

[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]

[tex]z=\frac{59}{21}[/tex]

For x =9+2y/3 substitute z=59/21 and y=-3/7

[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]

[tex]x=\frac{19}{7}[/tex]

[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]

Answer:

(1, - 1, 3 )

Step-by-step explanation:

x - 2y + 2z = 9 → (1)

- x + 3y = - 4 → (2)

2x - 5y + 3z = 16 → (3)

Add (1) and (2) term by term to eliminate x

y + 2z = 5 → (4)

Multiply (2) by 2

- 2x + 6y = - 8 → (5)

Add (3) and (5) term by term to eliminate x

y + 3z = 8 → (6)

Subtract (6) from (4) term by term to eliminate y

- z = - 3 ( multiply both sides by - 1 )

z = 3

Substitute z = 3 into (4)

y + 2(3) = 5

y + 6 = 5 ( subtract 6 from both sides )

y = - 1

Substitute y = - 1, z = 3 into (1) and solve for x

x - 2(- 1) + 2(3) = 9

x + 2 + 6 = 9

x + 8 = 9 ( subtract 8 from both sides )

x = 1

solution is (1, - 1, 3 )

Answer:

1/4 n - 3.

Hope this helps, sorry if it doesn't.

Answer:

B. 2

Step-by-step explanation:

1.87

11 x 17  / 100  = 1.87

Answer:

X1=-4,Y1=-3,X2=-8,Y2=6

=√(X2-X1)^2+(Y2-Y1)^2

=√(-8-(-4))^2+(6-(-3))^2

=√(-4)^2+(9)^2

=√(16+81)

=√97units

Answer:

IP information is attached to each packet, and this information helps routers to send packets to the right place. Every device or domain that connects to the Internet is assigned an IP address, and as packets are directed to the IP address attached to them, data arrives where it is needed.

Step-by-step explanation:

hope i helped!

[tex]|2x+4| = 12\\\\\implies 2x +4 = 12 ~~ \text{or}~~ 2x +4 = -12\\\\\implies 2x = 8 ~~ \text{or}~~ 2x = -16\\\\\implies x = 4 ~~ \text{or} ~~ x = -8[/tex]