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valentina_108 [34]
3 years ago
6

Are vectors parallel

Mathematics
1 answer:
kiruha [24]3 years ago
3 0
"Two vectors are perpendicular if their dot product is zero, and parallel if their dot"
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How do you graph -1/5x-1 and 4/5x-6
kakasveta [241]

Answer:

The points for the given to linear equations is (5 , - 2) and (5 , - 1)

The points is plotted on the graph shown .

Step-by-step explanation:

Given as :

The two linear equation are

y = \dfrac{-1}{5}x - 1                  ...........1

y = \dfrac{4}{5}x - 6                  ...........2

Now, Solving both the linear equations

Put the value of y from eq 2 into eq 1

I.e  \dfrac{4}{5}x - 6 = \dfrac{-1}{5}x - 1

Or, \dfrac{4}{5}x + \dfrac{1}{5}x  = 6 - 1

Or,  \dfrac{4 + 1}{5}x = 5

or, \dfrac{5}{5}x = 5

∴ x = 5

Now, Put the value of x in eq 1

So, y = \dfrac{-1}{5}x - 1      

Or, y = \dfrac{-1}{5}× 5 - 1              

or,  y = \dfrac{-5}{5} - 1

Or, y = - 1 - 1

I.e y = -2

So, For x = 5 , y = - 2

Point is (x_1 , y_1) = (5 , - 2)

Again , put the value of x in eq 2

So, y = \dfrac{4}{5}x - 6

Or, y = \dfrac{4}{5}× 5 - 6

Or, y = \frac{4\times 5}{5} - 6

Or, y = 4 - 6

I.e y = - 2

So, For x = 5 , y = - 2

Point is (x_2 , y_2) = (5 , - 2)

Hence, The points for the given to linear equations is (5 , - 2) and (5 , - 2)

The points is plotted on the graph shown . Answer

5 0
3 years ago
Which graph represents the solution set of the system of inequalities?
Nimfa-mama [501]
Well first we need to change the format of the equations to slope-intercept, or y=mx+b.
So the first one (x + y < 1) will be changed to   y < -x + 1.
The second one (2y ≥ x - 4) will be changed to   y <span>≥ x/2 - 2.
Now we can analyze each graph.
In every single graph the first equation (y < -x + 1) is graphed correctly.
Now for the second equation, we can see that only the first and last graph correctly format to the equation.
Now for the shading:
The first equation shows us that y is less than -x +1, making the shading go under the dotted line. (to the left)
The second equation shows us that y is greater than or equal to x/2 - 2, making the shading go above the line. (also to the left)
Therefore, when we shade, the overlapping shading is correctly formatted in the first graph.
Hope this helped, comment any questions you have for me.</span>
5 0
4 years ago
Please help me with this I really need help r-12=25 :r=37
natta225 [31]

Answer:

it's self explanatory 25

Step-by-step explanation:

r -12 = 25

r = 37

37 - 12 = 25

6 0
3 years ago
Ana has 5 muffins but 8 friends coming over. How much will each friend get?
maw [93]

1.6

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Evaluate the expression x³ when x=0.2
Talja [164]

I believe the answer is 0.008

because

0.2 × 0.2 × 0.2 is equivalent to 0.008

5 0
4 years ago
Read 2 more answers
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