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4 years ago

2/3y + v = s solve for y

Mathematics

1 answer:

DanielleElmas [232]4 years ago

3 0

Answer:

y = $\frac{3s-3v}{2}$

Step-by-step explanation:

Given

$\frac{2}{3}$ y + v = s ( subtract v from both sides )

$\frac{2}{3}$ y = s - v

Multiply through by 3 to clear the fraction

2y = 3s - 3v ( divide both sides by 2 )

y = $\frac{3s-3v}{2}$

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the intersection of p and q creates a 71 degree angle. What are the complementary and supplementary angles of this intersection?

zhuklara [117]

Complementary means 90 degrees... so 90-71= the complementary angle which is 19 degrees.. Supplementary means 180 degrees so 180-71= the supplementary angle which is 119 degrees

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4 years ago

Use the augmented matrix to determine if the linear system is consistent. Is the linear system represented by the augmented matr

Crazy boy [7]

Answer:

The correct option is (A).

Step-by-step explanation:

If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.

$\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]$

Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:

$\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]$

Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.

Thus, the correct option is (A).

8 0

3 years ago

Which expressions, written to the right of the equals sign, would complete this equation so that it has one solution? 4(2x – 3)

Sav [38]

The expression <span>4(2x – 3) – 4x is equal to 4·2x-4·3-4x=8x-12-4x=(8x-4x)-12=4x-12.
</span>
1. 4x-12=4x-12, then 0=0. This equation has infinite amount of solutions;
2. 4x-12=3x-4,4x-3x=-4+12,x=8. This equation has one solution.
3. 4x-12=3(2x-6),4x-12=6x-18,4x-6x=-18+12,-2x=-6,x=3. This equation also has one solution.
4. 4x-12=4(x-5),4x-12=4x-20,4x-4x=-20+12,0=-8 is not right equality, then this equation hasn't solutions.
Answer: Correct choices are B and C.
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3 years ago

What is the slope of the line that passes through the points (8,-4) and (6,3) in simplest form

Nesterboy [21]

Step-by-step explanation:

Rise of y-value = (-4) - (3) = -7.

Run of x-value = (8) - (6) = 2.

Slope of the line = Rise / Run = (-7) / (2) = -3.5.

5 0

3 years ago

Would $105.00 be correct? With the equation of Y=x(15)?

Vilka [71]

Answer:

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$105.00=N

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So yes you are correct

Hope that helped

4 0

3 years ago