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jok3333 [9.3K]
2 years ago
14

What is ... 4x + 10= 2x - 6

Mathematics
1 answer:
Nata [24]2 years ago
6 0
4x + 10= 2x - 6
Subtract 2x on both sides

4x - 2x + 10 = 2x - 2x - 6

4x - 2x + 10 = -6

2x + 10 = -6

Subtract 10 on both sides

2x + 10 - 10 = -6 - 10

2x = -6 - 10

2x = -16

x = -8
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A few reasons are:
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6 0
3 years ago
Prove that sin^4x + cos^4x= sinxcosx
yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

sin^4(x) + cos^4(x)

We can rewrite this as:

(sin^2(x))^2 + (cos^2(x))^2

Now we can add and subtract cos^2(x)*sin^2(x) to get:

(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)

We can complete squares to get:

(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2

and we know that:

cos^2(x) + sin^2(x) = 1

then:

1 - 2*sin(x)^2*cos(x)^2

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

1 - \frac{sin^2(2*x)}{2}

Then the simplification is:

cos^4(x) + sin^4(x)  = 1 - \frac{sin^2(2*x)}{2}

7 0
3 years ago
Which expression represent a number that is one fourth as great as 10-2
Nataliya [291]
I think the answer to the expression would be D. (10 - 2) x 4 because (10 - 2) would be multiplied 4 times, which means it would be four times greater. I hope this made sense and also helped you in some way.
5 0
3 years ago
Read 2 more answers
Matrix a is a 6 × 5 matrix. which order of matrix can be multiplied by matrix a to create matrix ab?
mezya [45]

Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

<h3>What is a matrix?</h3>
  • A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.
  • For instance, consider a matrix with two rows and three columns.

To find the order of matrix:

  • We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.
  • Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.
  • Dimension is assigned to the provided matrix: 6 × 5
  • This means the given matrix contains six rows and five columns.
  • As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.
  • The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.

To prove:

  • In other words, the inner products of the dimensions should be equal.
  • That is; (a × b)(b × a) is possible but (a ×b)(c × b) is impossible.
  • The dimensions of the matrix are given by, row × column.

Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

Know more about matrix here:

brainly.com/question/24079385

#SPJ4

7 0
1 year ago
A Venn diagram is shown below:
mina [271]
(A ∩ B) means "A intersection B". Your problem statement tells you the intersection contains
  {3, 4}
6 0
3 years ago
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