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Reptile [31]
3 years ago
14

Complete the square to find the vertex of this parabola

Mathematics
1 answer:
Finger [1]3 years ago
7 0

Answer:

(2,-6)

Step-by-step explanation:

x^2-4x+y+10=0

y=x^2+4x-10

y=-(x^2-4x)-10

=-(x^2-4x+4)-10+4

=-(x-2)^2-6

y=-(x-2)^2+(-6)

h=2 ~and~ k=-6

<u>So, vertex → (2,-6)</u>

<u />------------<u />

<u>hope it helps..</u>

<u>have a great day!!</u>

<u />

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How do you factorise 3x²-x​
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Answer:

x(3x-1)

Step-by-step explanation:

take the similar ones out

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3 years ago
A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the ba
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Option C: 0.8889 is the probability of choosing an orange marble and a green marble.

<h2>Given that:</h2>
  • Number of red marbles is 5
  • Number of orange marbles is 2
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  • Number of green marbles is 2.

<h2>Explanation and Calculations:</h2>

So there are in total 10 marbles.

Two marbles can be chosen in ^{10}C_2 ways = 90/8

Now the favorable event is when one green marble and one orange marble  is chosen. The number of ways this can be done is ^{2}C_1 \times ^{2}C_1 = 4

The resultant probability is calculated by:

P(E) = \dfrac{Number \:of\: Favourable \:cases}{ Number\: of\: total \:cases}\\= \dfrac{4}{\frac{90}{2}}\\\\= \dfrac{8}{90}\\\\\approx 0.08889

Thus the needed probability is 0.08889 given by option C.

Learn more here:

brainly.com/question/13038567

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2 years ago
Which property justifies this statement?<br><br> If 4x=20, then x=5.
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It's the division property of equality.
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Step-by-step explanation:

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3 years ago
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Solve the system of equations using the elimination method. <br><br> 4x+3y=16<br> x=-3y+13
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Step by Step Solution
More Icon
System of Linear Equations entered :

[1] -4x - 3y = -7
[2] 16x - 3y = 13
Graphic Representation of the Equations :

-3y - 4x = -7 -3y + 16x = 13



Solve by Substitution :

// Solve equation [2] for the variable x


[2] 16x = 3y + 13

[2] x = 3y/16 + 13/16
// Plug this in for variable x in equation [1]

[1] -4•(3y/16+13/16) - 3y = -7
[1] - 15y/4 = -15/4
[1] - 15y = -15
// Solve equation [1] for the variable y


[1] 15y = 15

[1] y = 1
// By now we know this much :

x = 3y/16+13/16
y = 1
// Use the y value to solve for x

x = (3/16)(1)+13/16 = 1
Solution :
{x,y} = {1,1}
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3 years ago
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