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3 years ago

6x-9y+45 in slope intercept form

Mathematics

1 answer:

sweet [91]3 years ago

6 0

The answer is: y= 2/3x +5

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Fill in the missing monomials: 100x^2= (____)^2<br> ITS NOT 100

choli [55]

Answer:

(10x)^2

Step-by-step explanation:

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3 years ago

Divde the square roots of 121 by the product of the Square roots of 25 and 4

Pavel [41]

Answer:

1.1

Step-by-step explanation:

$\frac{ \sqrt{121} }{ \sqrt{25} \times \sqrt{4} } = \frac{11}{5 \times 2} = \frac{11}{10} = 1.1$

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3 years ago

How to find left and right inverse of a 3x2 matrix.

Mnenie [13.5K]

Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.

To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.

For the left inverse, we have

$LA=I$

$(LA)A^\top = IA^\top$

$L\left(AA^\top\right) = A^\top$

$\left(L\left(AA^\top\right)\right)\left(AA^\top\right)^{-1} = A^\top \left(AA^\top\right)^{-1}$

$L\left(\left(AA^\top\right)\left(AA^\top\right)^{-1}\right) = A^\top \left(AA^\top\right)^{-1}$

$LI = A^\top \left(AA^\top\right)^{-1}$

$L = A^\top \left(AA^\top\right)^{-1}$

We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.

$AR=I$

$A^\top(AR)=A^\top I$

$\left(A^\top A\right)R = A^\top$

$\left(A^\top A\right)^{-1} \left(\left(A^\top A\right)R\right) = \left(A^\top A\right)^{-1} A^\top$

$\left(\left(A^\top A\right)^{-1} \left(A^\top A\right)\right) R = \left(A^\top A\right)^{-1} A^\top$

$IR = \left(A^\top A\right)^{-1} A^\top$

$R = \left(A^\top A\right)^{-1} A^\top$

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2 years ago

Simplify the following expression.<br> 2x^5+ 3x^3 - 5x^2 + x^2 +7x+1+7x^5 - 3x^3 - 4

Juli2301 [7.4K]

9x^5-4x^2+7x-3 is the simplified version of your answer.

8 0

3 years ago

Refer to the table below. of the 36 possible outcomes, determine the number for which the sum (for both dice) is between 7 an

frez [133]

Pairs of numbers between 1 and 6 that add up to 7: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1
Pairs of numbers between 1 and 6 that add up to 8: 2+6, 3+5, 4+4, 5+3, 6+2
Pairs of numbers between 1 and 6 that add up to 9: 3+6, 4+5, 5+4, 6+3

6 for 7, 5 for 8, 4 for 9. 15 in all

7 0

3 years ago