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pshichka [43]
3 years ago
9

A system of linear equations contains two equations with negative reciprocal slopes. How many solutions will it have?

Mathematics
2 answers:
pishuonlain [190]3 years ago
5 0
<h2>Answer:</h2>

The number of solutions will be one.

( i.e. the system of equation has a unique solution )

<h2>Step-by-step explanation:</h2>

We are given a system of equations such that:

One of the equation has a negative reciprocal slope as compared to the other.

This means that the two lines are perpendicular.

Hence, the two lines will definitely meet or intersect at just one point and at right angles.

Also we know that the solutions  of a system of linear equations are the points where the two lines intersect.

Hence, we will have just one solution.

( since here the two lines will intersect at just one point )

Yanka [14]3 years ago
3 0

Answer:

1 solution

Step-by-step explanation:

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Could someone explain this to me ??
hodyreva [135]
<h3>Answer: C) 12</h3>

========================================================

Explanation:

Refer to the diagram below. I'm using the points A,B,C,D,E to help label the triangles, and to label the angles as well.

For now, let's focus on triangle DEC.

The top most angle is given as D = 65. Note how the angles D and E are opposite the congruent lines (marked with the red single tickmarks). This means that angles D and E are congruent to one another. So E = 65 as well. This is shown in the diagram below.

For now we don't know what angle C is, so we'll call it y. More specifically, we'll make y the measure of angle DCE.

For any triangle, the three angles always add to 180

y+65+65 = 180

y+130 = 180

y = 180-130

y = 50

So angle DCE is 50 degrees.

-------------------------------

Now we move onto triangle ABC.

Because angles DCE and ACB are vertical angles, this makes angle ACB 50 degrees also. Effectively, anywhere you see a 'y' in the diagram below, replace it with 50.

So triangle ABC has the three angles y = 50, y = 50 and 7x-4

We can solve for x like so

y+y+(7x-4) = 180

50+50+(7x-4) = 180

7x+96 = 180

7x = 180-96

7x = 84

x = 84/7

x = 12

This points to choice C as the final answer.

3 0
3 years ago
Decrease 119kg by 2/7
slava [35]

Answer:

51

Step-by-step explanation:

1-2/7 = 3/7

119 x 3/7 = 51

8 0
3 years ago
Enter the correct number<br> 1/5 of 35 bottles of water =
Alex777 [14]

Answer:

7

Step-by-step explanation:

you divide the 35 by 1/5 to get 7 bottles of water

7 0
2 years ago
Read 2 more answers
Is this right ? Plz help mee
sasho [114]
6.32 is the final answer! :)
6 0
3 years ago
Read 2 more answers
A line passes through the points (2,21) and (8,27). Write a linear function rule in terms of x and y for
tatiyna
We have two points so we can find the gradient using y1-y2/x1-x2
gradient = 21-27/2-8
= 1
we know the form for any linear equation is y = mx + c
we have m and a point so we can substitute in point (2,21) to find c
21 = 1 x 2 + c
c = 19
therefore, the equation is y = x + 19
6 0
2 years ago
Read 2 more answers
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