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tekilochka [14]
3 years ago
11

Solve the system of equations by the substitution method

Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

x=0.5

y = 10.5

Step-by-step explanation:

y = 3x + 7

y = 5x + 8

3x + 7 = 5x + 8

3x - 5x=  8 - 7

2x = 1

x= 1/2

x=0.5

y = 5x + 8

y = 5(0.5) + 8

y = 2.5 + 8

y = 10.5

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Evaluate sin 300° without using a calculator.
Anni [7]

Answer:

-\sqrt{3} /2

Step-by-step explanation:

300 degrees is in the fourth quadrant (it's between 270 and 360); sine is negative in the fourth quadrant.

Given we're in the fourth quadrant, the reference angle is 360 - 300 = 60 degrees

sin(60°) = \sqrt{3} /2

And since sine is negative, this value turns negative:

sin(300°) = -\sqrt{3} /2

3 0
3 years ago
Find an equation of the line passing through the point ( 6 , − 4 ) (6,-4) and perpendicular to 9 x − 3 y = 9 9x-3y=9 . Write you
MrMuchimi

Answer:

y =-\frac{1}{3}-2

Step-by-step explanation:

We are given;

  • A point (6, -4)
  • An equation of a line, 9x - 3y = 9

We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;

  • To answer the question we need to get the gradient of the given line first.
  • We write the equation 9x - 3y = 9  in the form of y = mx + c, where m is the slope;
  • That is;

y = 3x -3

  • Thus, the slope of the line is 3

But; m₁ × m₂ = -1 (For perpendicular lines)

Therefore;

m₂ = -1 ÷ 3

    = -1/3

Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).

To get its equation, we get another point (x, y)

Then;

\frac{y+4}{x-6}=\frac{-1}{3}

Thus;

3(y+4) = -1(x-6)\\3y + 12 = -x+6

In the form of slope-intercept, the equation will be;

3y = -x - 6\\y =-\frac{1}{3}-2

Thus, the equation of the line is;

y =-\frac{1}{3}-2

7 0
3 years ago
In horse​ racing, a trifecta is a bet that the first three finishers in a race are​ selected, and they are selected in the corre
Evgesh-ka [11]
The correct answer is D
3 0
3 years ago
La madre de rosita se ha comprado una mascarilla por un valor de 1 25 dolares al mismo tiempo se ha comprado un paquete de jabon
grandymaker [24]

Answer:

La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos es de $13.90

Step-by-step explanation:

La información dada son;

El valor de la máscara = $ 1.25

El valor del paquete de jabones = $ 2.00

El valor del gel de alcohol = $ 3.00

La cantidad que le quedaba después de pagar = $ 7.65

Por lo tanto, tenemos;

La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos = La cantidad que le quedaba después de pagar + El valor del gel de alcohol + El valor del paquete de jabones + El valor de la mascarilla

Por lo tanto;

La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos = $ 7.65 + $ 3.00 + $ 2.00 + $ 1.25 = $ 13.90.

3 0
3 years ago
Plants per row<br> 100 plants in 5 rows<br> Unit rate
SCORPION-xisa [38]

Answer:

100 plants/5 rows divided by 5 = 20 plants/1 row. hope this helps

Step-by-step explanation:

- Zombie

7 0
3 years ago
Read 2 more answers
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