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denis23 [38]
3 years ago
13

Solve the system of equations. –5x + 3y + 2z = 19 x + 4y + 3z = –27 15x – 9y – 6z = –55

Mathematics
1 answer:
mash [69]3 years ago
4 0
For -5x+3y+2z=19 the answer is -19/3
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On one side of the balance scale, Henry placed a 6-gram weight. On the other side of the scale, he placed a ballet slipper.
olchik [2.2K]

Answer:

  • <u><em>A. 6,000 miligrams</em></u>

Explanation:

A <em>balance scale</em> is balanced when the weights on both sides are equal. Then, since the image shows that both sides are equal, the weight of the <em>6-gram weight</em>, placed by Henry on one side of the balance scale is equal to the weight of the <em>ballet slipper </em>placed on the other side.

  • Weight of the balance slipper = weight of the 6-gram weight
  • Weight of the balance slipper = 6 grams

<u>Conversion of units: </u>

  • 6 grams × 1,000miligrams/1gram = 6,000 miligrams

  • Weight of the balance slipper = 6,000 miligrams

That is the option A.

7 0
3 years ago
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Licemer1 [7]

Answer:

$43.95

Step-by-step explanation:

15/100 × 293

= 43.95

7 0
3 years ago
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Which of the following expressions is equivalent to –6?
Inessa [10]

Answer:

the correct answer po is letter A

Step-by-step explanation:

Tinatamad akong mag explain pero tama po 'yan

8 0
3 years ago
Find the perimeter and area of the figure.
Slav-nsk [51]
Answer:

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2 years ago
The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function
kotegsom [21]

Answer:

y=-\frac{1}{3} (x-5)^2+3

Step-by-step explanation:

We are given the following;

  • Vertex of a quadratic function = (5,3)
  • A point where the function passes through (-1, -9)

Required to determine the equation of the function;

  • We need to know the vertex form of a quadratic function is;

y=a(x-h)^2+k, where h and k correspond to the vertex (h,k)

  • Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

y=a(x-5)^2+3

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}

Substituting the values of a, h and k in the equation, we get;

y=-\frac{1}{3} (x-5)^2+3

Thus, the equation of the function in the vertex form is y=-\frac{1}{3} (x-5)^2+3

8 0
3 years ago
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