Help please anyone!!!!!!

Answer:

  -1 ±4i

Step-by-step explanation:

The quadratic can be written in vertex form as ...

  x² +2x +17 = 0

  (x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square

  (x +1)² = -16 . . . . . . . . . . . . subtract 16

  x +1 = ±√(-16) = ±4i . . . . take the square root

  x = -1 ±4i . . . . . . . . . . . subtract 1

The roots of the equation are x = -1-4i and x = -1+4i.

_____

Additional comment

It can be worthwhile to remember the form of a perfect square trinomial:

  (x +a)² = x² +2ax +a²

If you know the coefficient of x, you can use half of it as the constant in each binomial factor.

In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.

The roots of the equation  [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].

To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.

The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

We have a = 1, b = 2, and c = 17.

Substituting these values into the quadratic formula, we get:

[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]

[tex]x = \frac{-2 \pm 8i}{2}[/tex]

[tex]x = -1 \pm 4i[/tex]

So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.

To learn more on Quadratic equation click:

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Answer: B) 7x-6=-2x+2

Step-by-step explanation:

Answer:

364

Step-by-step explanation:

156/3 = 52 boxes/hour

52 boxes x 7 hours = 364

Answer:

70.61 is a rational number

Step-by-step explanation:

This is because a rational number is either:

A whole number, like 70, whole number.

Is a terminating decimal, such as the one above 70.61, (A terminating decimal is a decimal that doesn't repeat.

And or has a pattern, or a recurring decimal, like 7.478478..., it repeats the decimal over and over, thus, rational.

Hope this helped you, have a great day.

Answer:

a(66) = -10 + 17(65) = 1095

Step-by-step explanation:

We know that this is an arithmetic sequence.  Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17.  Thus, the common difference, d, is 17.  The first term is -10.

The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).

Substituting -10 for a(1) and 17 for d, we get:

a(n) = -10 + 17(n - 1)

Now let n = 66:  a(66) = -10 + 17(66 - 1), or    a(66) = -10 + 17(65) = 1095

Answer:

24p-8

Step-by-step explanation:

Perimeter just means add up all the sides

(10p+6)+(2p-10)+(10p+6)+(2p-10)

= 24p-8

Answer:

65

Step-by-step explanation:

let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.

[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]

Answer:

65

Step-by-step explanation:

9^2-4^2=65

Answer:

Step-by-step explanation:

The triangle is isosceles with side WX equal to side WY:

  WX = WY

  9x -11 = 7x -3

  2x = 8 . . . . . add 11-7x

  x = 4

Then the side measures are ...

  WX = WY = 7(4) -3 = 28 -3 = 25

  XY = 4(4) +1 = 16 +1 = 17

Answer:

z = [tex]\frac{4x}{3y}[/tex]

Step-by-step explanation:

x = [tex]\frac{3yz}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

4x = 3yz ( isolate z by dividing both sides by 3y )

[tex]\frac{4x}{3y}[/tex] = z

Answer:

X = 5

Step-by-step explanation:

Answer: x = 5

Step-by-step explanation:

Solve for x given the equation 2(x - 2)² = (2x - 1)(x - 3).

Simplify the equation.

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

2(x² - 4x + 4) = (2x² - 7x + 3)

2x² - 8x + 8 = 2x² - 7x + 3

Solve for x.

2x² - 8x + 8 = 2x² - 7x + 3

              -8                  - 8

2x² - 8x = 2x² - 7x - 5

       +8x         + 8x

2x² = 2x² + x - 5

 -x              - x

2x² - x = 2x² - 5

-2x²      - 2x²

- x = - 5

- 5 ÷ - 1 = 5

x is equal to 5.

Answer: 80

Step-by-step explanation:

16, 32, 48, 64, 80

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 75, 80

Answer:

Step-by-step explanation:

The slope is found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5)/(0 -(-4)) = -5/4

  slope = -5/4

The second point can be used to keep it simple.

  point: (0, 0)

Point-slope equation:

  y -0 = -5/4(x -0)

  y = -5/4x . . . . . . . simplified

Answer:

i dont know sorry

Step-by-step explanation:

pls ask someone else thanks have a nice day

Answer:

0.75 cup

Step-by-step explanation:

K + p + b = 2 1/4

K = p = b

Sence all beans are equal we can divide 2 1/4 by 3

2 1/4 / 3 = 3/4

Answer:The juice left in bottle is 0.5 litre

Step-by-step explanation:Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the bottle. 2.

Answer: 1.4 mph

Step-by-step explanation: It traveled 2.8/2 mph or 1.4 mph.

Would appreciate brainly <3

Answer:

It will travel 1.6 mile

Step-by-step explanation:

Answer:

32 square millimeters

Step-by-step explanation:

Parallelogram area formula => B x h

Base = 6 mm

Height = 4 mm

Area = 24 mm^2

Triangle area formula B x h x 1/2

Base = 8 mm

Height = 2 mm

Area = 8 mm^2

Total area = 24 + 8 = 32 mm^2

The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

As per the given parallelogram and a triangle,

The bigger side of parallelogram = 6 + 2 = 8mm

Smaller side = 6mm

The perpendicular distance between the sides of the parallelogram = 4mm

The base of the triangle = 2mm

Height of triangle = 4 mm

Therefore, the complete area ⇒

(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²

Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".

To learn more about surface area,

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Answer:

7 > F

Step-by-step explanation:

Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred

7. Fred has fewer dollars than Penny. Left F=Fred

7 > Left F=Fred

7 > F

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Hi there the answer is y-10

Answer:

(a) 5 + 7 + 6x + 8x + 6

(b) 18 + 14x

Step-by-step explanation:

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x To find the y-intercept, substitute in  0 for  x and solve for  y.

Slope: [tex]m=-\frac{4}{5}[/tex]

x-intercept(s):  ( 5 , 0 )

y-intercept(s):  ( 0 , 4 )

The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.

Given :

Given side AB in triangle ABC has length x.

The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.

The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:

[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]

Now, put the known values in the above equation.

[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]

[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]

AC = 2x

So, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/21286835

Answer:

60

Step-by-step explanation:

[tex] \sqrt[3]{2x + 5} = 5 \\ (\sqrt[3]{2x + 5} = 5) ^{3} \\ 2x + 5 = 125 \\ 2x = 120 \\ x = 60[/tex]

Answer:

Step-by-step explanation:

Answer:

1/2(10x+8)

Step-by-step explanation:

Combine like terms

13x+5x+(-8x) and -6+14

Answer:

the one you picked was right.

Step-by-step explanation:

if 63° was the angle and the 12 was the side then "x" will be one the bottom. then you flip the fraction meaning 1/sin63° and x/12 and then multiply 12 on both sides. you will be left with x = 12/sin63°. sorry if that doesn't make sense

Answer:

It says in ascending order, and I don't think exponents will work.

Step-by-step explanation:

I think the correct answer would be 3 x 3 x 7, or 3² x 7

The only mistake that I can see is that it is not in ascending order.

-Chetan K

Answer:

3*3*7 or 3^2*7

Step-by-step explanation:

Do you need to have the exponent of 2?

If not, then write it as 3*3*7 or 3^2*7