What is the value of x?
A. 30

B. 42

C. 39

D. 85

Answer:

x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i

Step-by-step explanation:

For the given quadratic equation,x² + 2x + 16 = 0 the value of x will be x=-1+√15i, and x-=-1-√15i you must add 1 in order to complete the square.

Any equation with the formula [tex]\rm ax2 + bx + c = 0[/tex] where x is a variable and a, b, and c are any real values; a quadratic equation is one where a ≠ 0.

It is given that the equation is, x² + 2x + 16 = 0,

The value of x obtained after solving the given equation is x=-1+√15i and x-=-1-√15i.

In order to complete the square you have to take out the following operations,

x² + 2x + 16 = 0

Add and subtract by 1 as

x²+2x+16+1-1

x²+2x+1 +15

(x+1)²+(√15)²

Thus, you must add 1 in order to complete the square.

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Answer:

try dividing or multiplying the information their giving you?

multiply sides by 4

k = 24

Answer:

k = 24

Step-by-step explanation:

k/4 = 6

k is being divided by 4, so multiply both sides by 4.

k/4 * 4 = 6 * 4

k = 24

Answer:

2140

Step-by-step explanation:

Year one.                         1300

year 2.         120.               1420

year 3.         120.              1540

year 4.         120.              1660

year 5.         120.              1780

year 6.         120.              1900

year 7.         120.              2020

year 8.         120.              2140

or

7 x 120=840

1300 + 840 = 2140

Answer:

Step-by-step explanation:

k = xy

Putting values of x and y in the equation

k = (5)(-3.5)

= - 17.5

Finding value of x when y = 10

k = xy

- 17.5 = x10

Bringing like terms on one side

- 17.5 - 10 = x

-27.5 = x

Answer:

259200 seconds

How: 60×60×24 = 86400

That is for one full day, so multiply that by 3

Answer: 259200

Answer:

Step-by-step explanation:

1) Both the angles ∠2 & ∠3 form a linear pair with ∠1. Also, angles of a linear pair are supplementary to each other. So, both ∠2 & ∠3 are supplementary to ∠1. (Write any one)

2) ∠1 is located vertically opposite to ∠4. So, ∠1 & ∠4 are vertical angles.

3) Both the angles ∠1 & ∠4 share a common vertex & common side with ∠3. So, both ∠1 & ∠4 are adjacent to ∠3. (Write any one)

Step-by-step explanation:

2 is the degree of polynomial.

hope it is helpful to you

Answer:

it would be d

Step-by-step explanation:

16 times 8 3/4

Answer:

40 inches

Step-by-step explanation:

Volume, V of hemisphere = 2/3 π r^3

Radius, r = 24 inches ;

V = 2/3 π 24^3

V = 28952.917 in³

Volume of cylinder = π r^2 * h

h = height ; r = Radius = 32 /2 = 16 inches

Volume of hemisphere = volume of cylindrical tank

28952.917 = π (16)^2 * h

28952.917 = 804.24771h

h = 28952.917 / 804.24771

h = 35.9999

h = 40 inches

Molten stell rise is 40 inches

Answer:

[tex]d = \sqrt{122} \: in[/tex]

Step-by-step explanation:

D^2 = x^2 + y^2 + z^2

= (9 in)^2 + (5 in)^2 + (4 in)^2

= 122 in^2

or

[tex]d = \sqrt{122} [/tex]

Answer:

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

Step-by-step explanation:

Recall :

V1 = volume of cylinder = πr²h

V2 = volume of a cone = 1/3πr²h

From the diagram, both have height, h of 12

Radius = r

V1 = 2512 in

V2 = 1256 in

From the ratio :

2512 = πr² * 12

1256 = 1/3πr² * 12

12 cancel out as well as r² and π

If the bases have the same area `, then 2512 should be equal to (1256 * 3)

2512 in ≠ 3868 in

Answer:

The answer is D

Step-by-step explanation:

I got it right on my unit test

God bless

Answer:

2500 ( nearest hundred)

Step-by-step explanation:

Given that :

Number of stickers collected per week = 89

Number of weeks for which stickers were being collected = 28

To obtain the total number of stickers collected, we take the product of the number of weeks for which the stickers were beug vcilled and the number of stickers collected per week

The number of stickers collected :

89 * 28 = 2492

2492 = 2500 ( nearest hundred)

Answer:

I say it is A.

Step-by-step explanation:

It is the one that makes the most sense.

Hope this helps.

Answer: · D'(-25,-10) E'(-25,15) F'(10,15)

Answer:

o D'(-25,-10) E'(-25,15) F'(10,15)

Step-by-step explanation:

In dilations, the scale factor is how many times larger than the new image will be.

Great, that explains a lot.

In other words, multiply the x and y-coordinate by the scale factor.

In this case, the scale factor is 5.

D(-5,-2)

-5 ⋅ 5 = -25

-2 ⋅ 5 = -10

E(-5,3)

-5 ⋅ 5 = -25

3 ⋅ 5 = 15

F(2,3)

2 ⋅ 5 = 10

3 ⋅ 5 = 15

Therefore, the new coordinates are:

D' (-25,-10)

E' (-25,15)

F' (10,15)

Answer:

d = 16 in    then   r = 8 in

V = h * π * r²

V= 9in * π * (8 in)²

V = 1809.55 in³

Answer:

It's D

Step-by-step explanation:

Answer:

6, 8, 10, and 12

Step-by-step explanation:

x + (x + 2) = (x + 4) + (x + 6) = 36

4x + 12 = 36

subtract 12 rom each side of the equation:

4x = 24

divide both sides by 4:

x = 6

x + 2 = 8

x + 4 + 10

x + 6 = 12

Answer:

92°F

Step-by-step explanation:

in degrees Fahrenheit,

t=7

f(7)=64 + 4(7)

=92

The required temperature of liquid after 7 hours is 92.

Given that,
The temperature of a liquid that is increasing can be represented by the equation f(t) = 64 + 4t, where t is the time in hours. Graph the function to show the temperatures over the first 10 hours. To use the graph to estimate the temperature after 7 hours.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
f(t) = 64 + 4t
T = 7
f(7) = 64 + 4 * 7
    = 64 + 28
    = 92

Thus, the required temperature of liquid after 7 hours is 92.

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Answer: 1.885 miles

Step-by-step explanation:

Given: One lap around a park = 0.58 mile

The number of laps walked by Jessica= 3.25

Then, in miles , the distance walked around the park by Jessica will be (Multiply the number of laps to the value of one lap in miles) :

Hence,  Jessica walked 1.885 miles around the park.

Answer:

im a dad, and i have the best woman in the world, best wife and mother to are boy

Step-by-step explanation:

no psss ya valio madres

Answer:

yes I think he does because of the distance of the sprinklers reach.

Answer:

Step-by-step explanation:

Answer:

a (the length is twice the width)

Step-by-step explanation:

a(the length is twice the width)

Answer:

36

Step-by-step explanation:

Sean purchased a printer and laptop

He sold both for 1,500

He sold the laptop at 1,350

Therefore the cost of the printer can be calculated as follows

1500-1350

= 150

24/100×150

= 0.24×150

= 36

Henve the cost of the printer is £36

Answer:

I say the answer is B.

Step-by-step explanation:

I basically multiplied all the vertices by 2.

Hope this helped!!!

Answer:

No.

Step-by-step explanation:

The triangle inequality theorem states that the sum of two sides of a triangle must be greater than the third side.

5 + 8 = 13.

13, which is the sum of two sides, is not larger than 16, the third side.

Therefore, a triangle cannot have these side lengths.

Answer:

Total amount needed is: $59.25

Step-by-step explanation:

Given

See attachment for fence

Required

Cost of weedkiller needed

First, we need to calculate the height of the fence.

Considering the triangular end of the fence, we have:

[tex]17 ^ 2 = h ^ 2 + 8 ^ 2[/tex] --- Pythagoras theorem

[tex]289 = h^2 + 64[/tex]

Collect like terms

[tex]h ^ 2 = 289 - 64[/tex]

[tex]h ^ 2 = 225[/tex]

Take positive square root of both sides

[tex]h = \sqrt{225[/tex]

[tex]h = 15[/tex]

Next, calculate the area of the fence (trapezium).

This is calculated as:

[tex]Area = \frac{1}{2}(a + b) * h[/tex]

Where:

[tex]a = 12[/tex]

[tex]b = 20 + 8 = 28[/tex]

So, we have:

[tex]Area = \frac{1}{2}(12 + 28) * 15[/tex]

[tex]Area = \frac{1}{2}(40) * 15[/tex]

[tex]Area = 20 * 15[/tex]

[tex]Area = 300m^2[/tex]

From the question, we have:

[tex]\$19.75 = 100m^2[/tex]

Let x = the cost required for the complete area

i.e.

[tex]x = 300m^2[/tex]

So, we have:

[tex]\$19.75 = 100m^2[/tex]

[tex]x = 300m^2[/tex]

Cross multiply

[tex]x * 100m^2 = \$19.75 * 300m^2[/tex]

Divide both sides by [tex]100m^2[/tex]

[tex]\frac{x * 100m^2}{100m^2} = \frac{\$19.75 * 300m^2}{100m^2}[/tex]

[tex]x = \frac{\$19.75 * 300m^2}{100m^2}[/tex]

[tex]x = \$19.75 * 3[/tex]

[tex]x = \$59.25[/tex]

Answer:

Congruent segments subtracted from congruent segments form congruent segments