A system of linear equations in two variables can have _____ solutions

2 answers:

8 0

If the lines are parallel (have the same slope but different intercepts) . . .
   no solution, because they never cross.

If the lines have different slopes . . .
   one solution, because they have exactly one common point.

If the lines have the same slope and the same intercept . . .
   infinitely many solutions, because every point on one line is also a point on
   the other line, one lays right on top of the other, and when you look at them on
   the graph, it looks like only one line.

madreJ [45]2 years ago

5 0

One solution
or no solution
or an infinite number of solutions

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Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)

KiRa [710]

Answer:

a( $b^{2}$ + $c^{2}$ ) = = -13

Step-by-step explanation:

Given that a = -1, b=2 and c= -3

find the value of a( $b^{2}$ + $c^{2}$ )

Just substitute the values given for each variable

a( $b^{2}$ + $c^{2}$ ) = (-1)( $2^{2}$ + $(-3)^{2}$ ) ; do the exponents first

a( $b^{2}$ + $c^{2}$ ) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;

a( $b^{2}$ + $c^{2}$ ) = -13 ; and multiply by -1

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3 years ago

Points F(3, 3), K(6, 5), J(8, 2) and L(5, 0) lie in a coordinate plane. Which lines are perpendicular?

Romashka-Z-Leto [24]

To determine if a line is perpendicular to another, you must first determine the slope...
m = y1-y2/x1-x2
m of FK = 3-5/3-6 = -2/-3 = 2/3
m of FJ = 3-2/3-8 = 1/-5
m of FL = 3-0/3-5 = 3/-2
m of KJ = 5-2/6-8 = 3/-2
m of KL = 5-0/6-5 = 5
m of JL = 2-0/ 8-5 = 2/3

In order for two lines to be perpendicular, their slopes must be opposite reciprocals...
FK is perpendicular to FL
FK is perpendicular to KJ
JL is perpendicular to FL
JL is perpendicular to KJ
FJ is perpendicular to KL

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Lockheed Martin, the defense contractor designs and build communication satellite systems to be used by the U.S. military. Becau

Nana76 [90]

Answer:

$P(52$

And we can find this probability with this difference:

$P(-0.851$

And if we use the normal standard distribution or excel we got:

$P(-0.851$

Step-by-step explanation:

Let X the random variable that represent the time required to construct and test a particular component of a population, and for this case we know the distribution for X is given by:

$X \sim N(60,9.4)$