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8090 [49]
3 years ago
15

The point (0, 2) is the only solution to the system of linear equations that contains the equations

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0
Because there is only one solution to this system, this means that the system is consistent and it is independent

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

consistent = system has at least one solution

independent = each equation isn't reliant on the other; i.e. one equation doesn't completely overlap the other

Combine the two terms and they help describe any case where two lines cross at exactly one point. These two lines will have different slopes. 
You might be interested in
Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi.
marishachu [46]

Answer:

\huge\boxed{\sf d = 141\ feet}

Step-by-step explanation:

<u>Given Data:</u>

Circumference = C = 443 ft

<u>Required:</u>

Diameter = d = ?

<u>Formula:</u>

d = C / π

<u>Solution:</u>

d = 443 / 3.14

d = 141.0 feet

d = 141 feet

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
3 0
2 years ago
Read 2 more answers
-5+|-15÷(-5) |2(-5) ​
pav-90 [236]

Answer:

The value of this expression is -35.

Step-by-step explanation:

Let's use the order of operations (PEMDAS), to solve this problem.

-5+|-15/-5|*2*(-5)\\-5+3*-10\\-5+-30\\-35

In conclusion, the value of this expression is -35. Hope this helped :D

7 0
3 years ago
PLEASE HELP ME WITH BOTH QUESTIONS<br> THANKS!!
vitfil [10]

First one:

cos(A)=AC/AB=3/4.24

cos(B)=BC/AB=3/4.24

Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1


Second one:

To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).

If that's the case, AE is a transversal of parallel lines AB and DE.

And Angle A is congruent to angle E (alternate interior angles).

Therefore sin(A)=sin(E)=0.5

8 0
3 years ago
Please help me!
yan [13]

Answer:

80

Step-by-step explanation:

<u><em>A = Area of First Rectangle </em></u>

<u><em>B = Area of Second Rectangle </em></u>

<u><em>w = Width</em></u>

<u></u>

12(w)=320+B (1st Equation)

8(w) = B (2nd Equation)

w=B/8 <em><u>(Plug this value of w into the first equation)</u></em>

12B/8 = 320 +B <u><em>(you get this)</em></u>

12B= 2560 + 8B <u><em>(Simplify)</em></u>

4B = 2560

B =640 <em><u>plug this value into the 2nd equation</u></em>

8(w) = 640

w = 80

<em>To Test This</em>

12x80 = 960

8x80 = 640

<h3>960 - 640 = 320 <u><em>Therefore the answer is correct the width is 80</em></u></h3>

<h3 />
5 0
3 years ago
Which expression is represented by the number line?
Mumz [18]

Answer:

thats why its switches on my glee

Step-by-step explanation:

8 0
2 years ago
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