Given that the solution set to a system of three linear equations is a line, which of the following is true about the system?

Mathematics

2 answers:

Setler79 [48]3 years ago

8 0

The <em><u>correct answer</u></em> is:

d) The system can only be dependent and consistent.

Explanation:

In order for the solution to a system of equations to be a line, this means that the lines must lie on top of one another. This means they are the same line; the system is consistent since there is at least one solution, and dependent since all of the points in one equation work for the other equations as well.

notsponge [240]3 years ago

5 0

Answer:

The correct answer is:

#4 The system can only be dependent and consistent.

Step-by-step explanation:

Process of elimination

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A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produce

Jobisdone [24]

Answer:

Option B, would be the correct answer: 75 labels per minute

Step-by-step explanation:

The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.

Slope = $\frac{rise}{run}$

Slope = $\frac{150}{2}$

Slope = 75

Hope this helps!

6 0

3 years ago

Read 2 more answers

OX and OY are two straight lines which intersect at an acute angle of 60°. OX = 4.5cm and OY = 5cm . The point M is on OX such t

Neko [114]

Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY

<h3>What is an Angle Bisector ?</h3>

The ray that bisects the angle into half is called Angle Bisector.

It is given that ∠XOY = 60 degree

the length of OX = 4.5 cm

OY =5 cm

The point M is on OX such that

OM = 2 MX

so The M is at 3 cm from O

The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M

According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.

As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at

By Pythagoras Theorem

3² +3² = OP²

OP = 2 $\sqrt{3}$ = 3.46 cm from O