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miskamm [114]
3 years ago
6

Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

Substitute in the values of both given coordinates & form 2 equations:

\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.

Find the value of B from the equation 2A - B = 1:

2A-B=1\\-B=1-2A\\B=2A-1

Substitute in the B-value to the other equation:

-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}

Find the B-value using the equation from before:

B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}  

Therefore the equation Ax + By = 1 would equal:

\frac{1}{7} x-\frac{5}{7} y=1

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Step-by-step explanation:

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3 years ago
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Nutka1998 [239]

Answer:

384, 216, 290, 192, 384

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Step-by-step explanation:

For rectangular boxes, calculate the sum of each side, then multiply it by two.

Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364

Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290

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8 0
3 years ago
Read 2 more answers
Factor completely 81x8 − 1. (9x4 − 1)(9x4 1) (3x2 − 1)(3x2 1)(9x4 − 1) (3x2 − 1)(3x2 1)(9x4 1) (3x2 − 1)(3x2 1)(3x2 1)(3x2 1).
mojhsa [17]

Answer:

(3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

Step-by-step explanation:

Using the identity for the difference of 2 squares;

a^2 - b^2 = (a - b)(a + b)  

we put a^2 = 81x^8 and b^2 = 1  giving

a = 9x^4 and b = 1, so:

81x^8 − 1 =   (9x^4 - 1)(9x^4 + 1)

Applying the difference of 2 squares to 9x^4 - 1:

= (3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

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2 years ago
Look at the proof. Name the postulate you would use to prove the two triangles are congruent.
vovikov84 [41]

Answer:

Option A, SSS Postulate

Step-by-step explanation:

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There are no angles given which eliminates 2 options.

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