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labwork [276]
3 years ago
9

Given the system has no solution, find the value of a/b. Show your work.

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0
It’ll be C or B with no soul took by finding the value.
RUDIKE [14]3 years ago
8 0

systems have no solution if they have the same slope, but different y-intercepts.

3/4x - 1/2y = 12, y = 2(3/4x - 12) = 3/2x - 24

ax - by = 9, y = (ax-9)/b, = ax/b -9/b

for the slopes to be the same, following must be true:

ax/b = 3/2x

a/b = 3/2

Correct answer is C

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Use lagrange multiplier techniques to find the local extreme values of f(x, y) = x2 − y2 − 2 subject to the constraint x2 + y2 =
dexar [7]
Given f(x,\ y)=x^2-y^2-2 subject to the constraint x^2+y^2=16

Let g(x,\ y)=x^2+y^2.

The gradient vectors of f and g are:

\nabla f(x,\ y)=\langle2x,-2y\rangle and \nabla g(x,\ y)=\langle2x,2y\rangle

By Lagrange's theorem, there is a number \lambda, such that

\langle2x,-2y\rangle=\lambda\langle2x,2y\rangle=\langle2\lambda x,2\lambda y\rangle

\lambda=\pm1

It can be seen that f(x,\ y)=x^2-y^2-2 has local extreme values at the given region.
6 0
3 years ago
Find the slope of the line that passes through (1,6) and (4,4)
Vadim26 [7]

Answer:

y=-2/3x+20/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-6)/(4-1)

m=-2/3

y-y1=m(x-x1)

y-6=-2/3(x-1)

y=-2/3x+2/3+6

y=-2/3x+2/3+18/3

y=-2/3x+20/3

8 0
3 years ago
K-12.7=3.24<br> Solve for k<br> K=
DedPeter [7]

Answer:

k = 15.94

Step-by-step explanation:

3 0
3 years ago
El que responda bien 5 estrellas y un gracias 7u7
adoni [48]

Answer: AB=12

Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4

Luego AB = AE+EB = 4+8 = 12

5 0
3 years ago
List the first 4 terms of the sequence 2n² +n -2​
xxTIMURxx [149]

Answer:

1, 7, 17, 31

Step-by-step explanation:

2(1)² + 1 - 2 = 3-2 = 1

2(2)² + 1 - 2 = 9-2 = 7

2(3)² + 1 - 2 = 19-2 = 17

2(4)² + 1 - 2 = 33-2 = 31

5 0
2 years ago
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