Y=-x^2+1 and y=x^2
When the two curves intersect their coordinates will be equal, so we can say y=y whenever a solution exists, so:
x^2=-x^2+1 add x^2 to both sides
2x^2=1 divide both sides by 2
x^2=1/2 take the square root of both sides
x=±√(1/2), so there are two solutions, we can use x^2 to find the corresponding y values.
y=x^2, y=1/2 in each instance, so the two point where the curves intersect are:
(-√(1/2), 1/2) and (√(1/2), 1/2) or if you want approximations....
(-0.7, 0.5) and (0.7, 0.5)
Answer:
nothing
Step-by-step explanation:
there was no mistake at all he did it all correct he subtract 11 from both sides the divided by 2 correctly.
Tangent only has a positive valise in Quadrant III
Answer: 0.5
Step-by-step explanation: In this problem, we're asked to solve the following equation for <em>p. </em>Let's first switch 14 and 14p around so we have 14p + 14 = 21.
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To solve this equation for <em>p</em>, we must first isolate the term containing <em>p</em> which in this case is 14p.
Since 14 is being added to 14p, we need to subtract 14 from both sides of the equation.
14p + 14 = 21
-14 -14
On the left side of the equation, the positive 14 and negative 14 cancel each other out and we have 14p. On the right side of the equation, we hav 21 - 14 which gives us 7.
Now we have the equation 14p = 7.
Since <em>p</em> is being multiplied by 14, to get <em>p</em> by itself, we divide both sides of the equation by 14.
On the left side of the equation the 14's cancel and we are left with <em>p</em>. On the right side of the equation, 7 divided by 14 is 0.5 which is our answer.
Therefore, p = 0.5 which is the solution for our equation.
Remember, you can always check your solution by substituting a number in for a variable to make sure the equation is true.
