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Eva8 [605]
3 years ago
14

6. Find the value of x. 19x - 36 6x + 31

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

x = 5.153846154

Step-by-step explanation:

Simplifying

6x + 31 = 19x + -36

Reorder the terms:

31 + 6x = 19x + -36

Reorder the terms:

31 + 6x = -36 + 19x

Solving

31 + 6x = -36 + 19x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-19x' to each side of the equation.

31 + 6x + -19x = -36 + 19x + -19x

Combine like terms: 6x + -19x = -13x

31 + -13x = -36 + 19x + -19x

Combine like terms: 19x + -19x = 0

31 + -13x = -36 + 0

31 + -13x = -36

Add '-31' to each side of the equation.

31 + -31 + -13x = -36 + -31

Combine like terms: 31 + -31 = 0

0 + -13x = -36 + -31

-13x = -36 + -31

Combine like terms: -36 + -31 = -67

-13x = -67

Divide each side by '-13'.

x = 5.153846154

Simplifying

x = 5.153846154

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This is the formula to solve for the vertex.

Example Question:

Find the vertex of y = -0.5x^2 + 100x

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5 0
4 years ago
Explain why a + b = d.<br> B<br> A<br> C<br> swer
bixtya [17]

Answer:

<em>Explanation below</em>

Step-by-step explanation:

<u>Angles in a Triangle</u>

There are two basic relations of angles we need to recall:

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Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:

c = 180 - ( a + b )

Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus

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From the two relations above, it follows that:

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3 years ago
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6 0
4 years ago
The area of a rectangular garden is 18z+24 square feet. What are the possible dimensions of the garden?
Lelechka [254]

Given:

The area of the rectangular garden is 18z+24 sq ft.

To find the possible dimensions of the garden.

Formula

The area of the rectangular garden is

A = lb

where,

l be the length of the rectangle

b be the width.

Let us take l and b be the length and width of the given rectangular park respectively.

Now,

According to the problem,

lb = 18z+24

or, lb = 6(3z+4)

We can determine that,

l = 6 and b = 3z+4 or vice versa.

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3 years ago
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