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SOVA2 [1]
3 years ago
7

Which line in the graph has the equation y= 1/2x + 2

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

3

Step-by-step explanation:

y= mx +b

b the y-intercept and is 2  so is red or purple line

m is the slope = 1/2  so rise 1 and run 2 is the purple line

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If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.
Natasha_Volkova [10]
The correct answers are:
1) sin(x) = \frac{ \sqrt{3} }{2}
2) tan(x) = \sqrt{3}

Explanation:
Given:
cos(x) =  \frac{1}{2}

Step 1:
Since, according to the Trigonometric identity:
sin^2(x) + cos^2(x) = 1 -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x)  =  \frac{3}{4}

Step 3:
Take square-root on both sides:
\sqrt{sin^2(x)} =  \sqrt{\frac{3}{4}}

sin(x) = \frac{ \sqrt{3} }{2}

Now to find the tan(x), we would use the following formula:

tan(x) = \frac{sin(x)}{cos(x)} --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }

Hence tan(x) = \sqrt{3}
6 0
3 years ago
Read 2 more answers
Last year, there were 219 pies baked for a bake sale. This year, there were d, write an expression for the total number of pies
castortr0y [4]
Last year 219 p.

d + 219.
5 0
4 years ago
Halle la ecuación del eje x y la ecuación del eje y, usando dos puntos que se encuentren sobre los mismos.
lisov135 [29]

Una linea recta ( cualquier eje coordenado es una línea recta) queda definida si se conocen dos puntos que están sobre ella.

Solución:

Ecuación del eje x      y = 0

Ecuación del eje y      x = 0

Para darle respuesta a la pregunta podemos seguir el siguiente procedimiento:

  • Escogemos dos puntos arbitrarios sobre el eje x, por ejemplo

P ( 2 ; 0 )  y Q ( 5 ; 0 )         ( todos los puntos sobre el eje x tienen coordenada y = 0.

Según la cual  m = (y₂ - y₁)/ ( x₂ - x₁ )    m = 0

  • Usamos la ecuación pendiente-Intercepto

y = m×x + b         donde m es la pendiente y b el intercepto con el eje y

y entonces tenemos:

  • m = 0    b ( 0 ; 0 )
  • Por sustitución en la ecuación pendiente-intercepto

y = 0

Procediendo de forma similar obtendremos la ecuación del eje y

P´( 0 ; 4 )     Q´( 0 : 8 ) entonces

y = m×x + b

En este caso, la pendiente no es definida ( tang 90° ) y b es de nuevo el punto b ( 0 ; 0).

A partir de  que todos y cada uno de los puntos sobre el eje y son  de valor 0 para x, concluímos que  ecuación del eje y es

x = 0

Enlaces de interés:brainly.com/question/21135669?

8 0
2 years ago
8 teams dived 23 pizzas equally
inessss [21]

Answer:

Divide the number of pizzas by the number of teams.

23/8

2 5/8

Each team received 2 5/8 pizzas.

:)

7 0
3 years ago
Marcus works for a radio station. During his one hour radio show, he
sergiy2304 [10]

Answer:

The first one 6 second 10

just got it right :)

4 0
3 years ago
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