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madam [21]
3 years ago
11

If a pair of linear equations is consistent, then the lines will be

Mathematics
1 answer:
Lesechka [4]3 years ago
8 0
C
Intersecting or coincident
If a pair of linear equation is consistent, then it has unique solutions and infinity solutions.
For unique solution-
⇒
a
2
​

a
1
​

​


=
b
2
​

b
1
​

​

∴ the lines will be intersecting.
For infinity solution-
⇒
b
1
​

a
1
​

​
=
b
2
​

b
1
​

​
=
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What is cos of negative pi/3?<br> what is sin of negative pi/3?
stellarik [79]
Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2 
4 0
3 years ago
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Otis plans to make 3 batches of sidewalk chalk How much plaster of paris does he need
den301095 [7]

Answer:

4\frac{1}{2} cups plaster of paris.

Step-by-step explanation:

Given:

for one batch of sidewalk chalk = 1\frac{1}{2} cup plaster of paris.

Number of bathes = 3

We need to find quantity of plaster of paris.

Solution:

For making 1 batch of sidewalk chalk = 1\frac{1}{2} cup plaster of paris.

For making 3 batches of sidewalk chalk = 3\times 1\frac{1}{2} cup plaster of paris.

= 3\times \frac{2\times 1+1}{2}

= 3\times \frac{2+1}{2}

= 3\times \frac{3}{2}

= \frac{3\times 3}{2}

= \frac{9}{2}

=4\frac{1}{2}

Therefore, he needed 4\frac{1}{2} cups plaster of paris.

5 0
3 years ago
In the figure below, BD and EC are diameters of circle P.
Zinaida [17]

Answer: 333 degrees

Step-by-step explanation:

8 0
3 years ago
For a recent year, the rate of first-class postage is as follows:
Law Incorporation [45]

Answer:

$0.95

Step-by-step explanation:

Given that weight of the function = x

Given that cost of the postage for mail having weight less than or equal to 1 oz = $0.44

then to find the equation can be written as

C(x)=0.44  where 0<x<=1

Similarly we can write equation for other parts

C(x)=0.61  where 1<x<=2

C(x)=0.78  where 2<x<=3

C(x)=0.95  where 3<x<=3.5

Now we can write them together as piecewise function as shown in below:

C(x)=\left\{\begin{matrix}0.44 & 0

to graph that we just draw horizontal lines for each as none equation contains x on the right side .

3.48 oz is less that 3.5 so we will use $0.95.


7 0
3 years ago
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Is 8/15 0.53 with the 3 repeating or no?
Mekhanik [1.2K]

Answer:

Yes.

Step-by-step explanation:

I don't really know how to explain this other than use a calculator.

Hope that this helps!

8 0
3 years ago
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