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mario62 [17]
3 years ago
6

Complete the square to find the vertex of this parabola. y^2+4x - 2y+21=0

Mathematics
2 answers:
Firlakuza [10]3 years ago
5 0

Answer:

::::::::::::::::::::

(-5,1)

sp2606 [1]3 years ago
5 0
The vertex is (-5,1)
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Look at the graph of this system of equations: y = - x2 + 1 and y = x2. At which approximate points are the two equations equal?
Alexandra [31]
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)
8 0
3 years ago
Read 2 more answers
What did he do wrong
umka2103 [35]

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.

7 0
3 years ago
Which has a positive value in Quadrant III?
Tresset [83]
Tangent only has a positive valise in Quadrant III
5 0
3 years ago
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14+14p=21 solve for p
11Alexandr11 [23.1K]

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.

<em />

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.

6 0
3 years ago
A car goes around a turn too quickly, it can leave tracks that form an arc of a circle. By finding the radius of the circle, acc
ANTONII [103]

Check the picture below.

r^2~~ = ~~100^2~~ + ~~(r-35)^2\implies r^2~~ = ~~100^2~~ + ~~\stackrel{\textit{\Large F~O~I~L}}{(r^2-70r+1225)} \\\\\\ r^2=10000+r^2-70r+1225\implies 0=10000-70r+1225 \\\\\\ 70r=10000+1225\implies 70r=11225\implies r=\cfrac{11225}{70}\implies r\approx 160.4

3 0
2 years ago
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