help please !!!!!!!!​

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.

Learn more about quadratic equations here:

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Answer:

One number is 10 less than twice another.

This translates to n=2m-10

Their difference is 31

This translates to n-m=31

n-m=31

(2m-10)-m=31

m-10=31

m=41

n-41=31

n=72

Therefore the larger number is (B) 72

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

according to PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you would do 12 minus 6 first resulting in the answer of 6 so your equation would then be 5 x 6 divided by 2. 5 x 6 comes next in the equation and thats 30 so your new equation is 30 divided by 2. 30 divided by 2 is 15.

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:

carrots and cauliflower: 6

peas: 12

cabbage, sweetcorn: 18

Step-by-step explanation:

10 percent is 1/10, which is 6/60. Multiplied by two it's 12/60. Multiplied by 3 is 18/60.

Answer:

I say the answer is B.

Step-by-step explanation:

I basically multiplied all the vertices by 2.

Hope this helped!!!

Answer:

Volume= 216 cubic yards

Surface area: 276 square yards

Step-by-step explanation:

Find volume of rectangular prism:

V= lxwxh

V= 3x18x4

= 216 cubic yards

Find surface area:

SA= 2 x (front/back area) + 2 x (right/left area) and 2 x ( bottom/top area)

Front and Back Area:

A= l x w

A = 18 x 3

= 54 square yards

Right/ left Area:

4 x 3

= 12 square yards

Top/ Bottom Area:

18 x 4

= 72 square yards

54^2+12^2+72^2

= 108+24+144

=276 square yards

Answer:

DOUBLE CHEESS SANDWICH

Step-by-step explanation:

Answer:

it would be d

Step-by-step explanation:

16 times 8 3/4

Answer:

It is A and I am positive its A

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

B is the closest to 9,420,000.

A = side x side

Multiply both sides to find the area.

20/3x39/8=780/24=

32.5ft^2

Answer:

116 and 2/3 feet

Step-by-step explanation:

6 2/3+6 2/3= 12 4/3 or 13 1/3feet

4 7/8+ 4 7/8= 8 14/8 or 8 3/4

8 9/12x13 4/12= 116 and 2/3feet

Answer:

Step-by-step explanation:

Answer:

The new coordinates would be (-4, 11)

(-10, 11) (-9, 7) Hope this helps!

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:

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:

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.

Learn more about graphs here:

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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:

1. 2x+4

2.2x-3

3.4x

4.3x-4

Answer:

10

Step-by-step explanation:

Pyth. Theorem:

a = leg, b = leg, c = hypotenuse

[tex]c = \sqrt{ {a}^{2} + {b}^{2} }[/tex]

The length of the third side

=

[tex]\sqrt{ {5 \sqrt{3} }^{2} + {5}^{2} }[/tex]

=

[tex]\sqrt{75 + 25}[/tex]

=

[tex]\sqrt{100}[/tex]

= 10

Answer: first one is function second is not a function

Step-by-step explanation:

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:

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.

Step-by-step explanation:

Mam nice drawing at your backside Mam nice drawing at your backside

Answer:

Congruent segments subtracted from congruent segments form congruent segments

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:

15

Step-by-step explanation:

Rectangle Formula:

a = b * w

a = area

b = base

w = width

Replace variables with numbers given:

375 = 25 * w

Divide both sides by 25

w = 15