Just make the equations equal to each other. -0.5x+5=3x-2. Solve for x and find that it is 2, via simple algebra. Since you know x is 2, sub it in in either equation to find y. y should be 4. So the point that fits both equation is (2,4). This shows that the two graphs of these lines will intersect at this exact point.
If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
Answer:
5
Step-by-step explanation: i created the list of numbers.
15: 1,3,<u>5</u>,15
20: 1,2,4,<u>5</u>,10,20
can i get branliest
So to start off here is the question being asked:
<span>81+<span>7x</span></span>=<span>81
</span>The first thing we are going to do is s<span>implify both sides of the equation:
</span><span><span>7x</span>+81</span>=<span>81
</span>Second thing to do is s<span>ubtract 81 from both sides so:
</span><span><span><span>7x</span>+81</span>−81</span>=<span>81−<span>81
</span></span>The final thing to do is d<span>ivide both sides by 7:
</span><span><span>7x/</span>7</span>=<span>0/<span>7
The final answer is:
x=0
I hope this helps! :)</span></span>
