What is one possible solution to the equation you wrote in #1, in the form (S,H)
O (20,10)
O (5,10)
O (20,20)
0 (0,40)

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

Answer:

y = 50x + 150

Step-by-step explanation:

The y-intercept is 150. b = 150

The slope is found using two points such as (2014, 450) and (2010, 250)

m = (450 - 250)/(2014 - 2010) = 200/4 = 50

y = mx + b

y = 50x + 150

Answer:

r = 5.74%

Step-by-step explanation:

Compound interest formula is expressed as;

A = P(1+r)^t

P is the principal = $8000

A = P+I =8000 + 2000 = $10000

time t = 4years

Substitute

10000 = 8000(1+r)^4

10000/8000 = (1+r)^4

10/8 = (1+r)^4

1.25 = (1+r)^4

1.05737126344 = 1+r

r = 1.05737126344 - 1

r = 0.05737126344

r = 5.74%

This gives the rate of interest

Answer:

..........

Step-by-step explanation:

Given:

The height of the ladder = 15 m

When the ladder leans at point B from the ground level, then it makes an angle  of 52° with the horizontal

When the ladder leans at point A from the ground level, then it makes an angle  of 85° with the horizontal

To find:

The distance between point A and point B is?

Solution:

To solve the above-given problem, we will use the following trigonometric ratio of a triangle:

Referring to the figure attached below, we will assume,

BD = AD = 15 m = height of the ladder

∠BDC = 52° = angle of elevation to the foot of the window

∠ADC = 85° = angle of elevation to the top of the window

Now,

In ΔBCD, we have

Opposite side = BC

Hypotenuse = BD = 15 m

θ = 52°

∴

and

In ΔACD, we have

Opposite side = AC

Hypotenuse = AD = 15 m

θ = 85°

∴

∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m

Thus, the distance between point A and point B is 3.12 m.

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Also View:

A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.

Answer:

1 1/3 mph

Step-by-step explanation:

distance = rate x time

5 = 3.75r

5/3.75 = r

r = 1 1/3 mph

Answer:

11

Step-by-step explanation:

1. First do the brackets because BEDMAS

So, (12÷4+1) = 4

2. 15 - 1 x 4

3. 15 - 4

4. 11

Hope this helps! :)

Use the symbolab website/app it's really helpful

Answer:

c) The standard form of the quadratic equation, y = a·x² + b·x + c

The standard form of the quadratic equation is y =  3·x² - 18·x - 48.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Is their suppposed to be a pic

Answer:

I say electrons

Step-by-step explanation:

It has more electrons than protons so it becomes - charged

Step-by-step explanation:

3-0= 3

2-(-2)= 4

3/4= 0.75

Answer:

Step-by-step explanation:

y= mx+ b helps you find the equations of the lines

y= x+2 is the line with slope m=1, and y-intercept b=2

y= -4x-3 is the line with slope m=-4, and y-intercept b=-3

y > x+2 because is a dotted line

y ≤ -4x-3 because is a solid line

Answer:

aha i see yo bbg

Step-by-step explanation:

(lipbite)

Answer:

[tex]5(5+7j+11p)[/tex]

Step-by-step explanation:

Factor 5 out of  25  +  35j  +  55p.

Answer:

[tex]5(5 + 7j + 11p)[/tex]

Step-by-step explanation:

[tex]25 + 35j + 55p \\ [/tex]

factor 5

5 × 5 = 25

5 × 7 = 35

5 × 11 = 55

[tex]\boxed{Answer:{\boxed{\green{5(5 + 7j + 11p)}}}}[/tex]

Answer:

x = 14.1

Step-by-step explanation:

sin (40) = x/22

x = 22 (sin(40))

x = 14.1

Answer:

gradient = 1

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = [tex]\frac{1-0}{0-(-1)}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

$1182.65

Step-by-step explanation:

Given :

Fortnight gross pay = $1300

Given :

PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay

FNPF = 5% = 0.05 * $1300 = $65

PAYE = $31.85 ; HEALTH INSURANCE = $20.50

Total deduction = $(65 + 31.85 + 20.50) = $117.35

Net pay :

Gross pay - deduction

$1300 - $117.35 = $1182.65

Answer:

Step-by-step explanation:The area of an isosceles triangle is the amount of space enclosed between the sides of the triangle. Besides the general area of the isosceles triangle formula, which is equal to half the product of the base and height of the triangle, different formulas are used to calculate the area of triangles, depending upon their classification based on sides. These different types based on sides are given below:

Equilateral Triangle- A triangle with all sides equal.

Isosceles Triangle- A triangle with any two sides/angles equal.

Scalene Triangle- A triangle with all unequal sides.

Answer:

A) 140

B) 75

C) 80

D) 20

E) 80

Step-by-step explanation:

Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.

Comenzamos nombrando cada círculo:

E= personas que usan máquinas eléctricas

M= personas que usan máquinas mecánicas

C = personas que usan computadoras.

- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.

- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.

- En la intersección entre M y C restamos:

25-20=5

Entonces colocamos este 5 en esa región.

- En la intersección entre E y C restamos:

35-20=15

Entonces colocamos este 15 en esa región.

- En la intersección entre E y M restamos:

40-20=20

Entonces colocamos este 20 en esa región.

- En la región de E restamos:

110-20-20-15=55

Entonces colocamos este 55 en esa región.

- En la región de M restamos:

50-20-20-5=5

Entonces colocamos este 5 en esa región.

- En la región de C restamos:

60-15-20-5=20

Entonces colocamos este 20 en esa región.

Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)

Y ahora ya lo podemos usar para responder a las preguntas:

A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:

55+20+5+60=140

B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:

55+20=75

C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C

55+20+5=80

D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C

20

E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:

20´60=80

Answer: 13/4

Step-by-step explanation: it was 3.25 and that as a fraction is 13/4

3/4 + ( 1/3 × 6 ) + 1/2 =

3/4 + 2/4 + ( 2 ) =

3 + 2/4 + 8/4 =

5/4 + 8/4 =

5 + 8/4 =

13/4

Answer:

30 sq cm

Step-by-step explanation:

The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:

Area = 10 cm x 3 cm

Area = 30 sq cm

Answer:

Something you do frequently or on a regular basis is known as a habit.

When he gets nervous, he has a cute habit of licking his lips. [includes]

...an investigation into the eating habits of people in the United Kingdom.

Step-by-step explanation:

Answer:

18 cm

Step-by-step explanation:

Let X represent a square

For it to be a rectangle, needs to be:

X X X

X X X

X X X

(It's a giant square made of squares)

This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.

For Example:

X X X X

X X X X X

It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.

So if the length is 18cm, the width is also 18cm.

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

slope = 20

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (10, 200) ← 2 points on the line

m = [tex]\frac{200-0}{10-0}[/tex] = [tex]\frac{200}{10}[/tex] = 20

Answer:

659.4 inches

Step-by-step explanation:

C = 2*3.14*21

C = 131.88

131.88*5 = 659.4 inches

Answer:

2. Isosceles

4. 25, 65, 90

Step-by-step explanation:

Isosceles triangles have two equivalent sides

All the interior angles of triangles always add up to 180 degrees

Answer:

the answer for the question is D,experiment

The kind of statistical study that Thad Conducted is called; Experiment

We ae told that we want to determine the cleaner that has the best effectiveness.

Now, since he compares the result of washing with let's say brand A to the result of washing with maybe brand B, then we can say that it is called an experiment due to the fact that it involves the procedure used to determine the efficacy or likelihood of something.

Read more about Statistical Study at; https://brainly.com/question/17149873

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