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crimeas [40]
4 years ago
7

Which equation is y=6x^2+12-10 rewritten in vertex form

Mathematics
1 answer:
Andre45 [30]4 years ago
7 0

The formula in order to obtain the vertex form of a quadratic equation is given as 

y=a(x-h)^2+k where (h,k) is the vertex of the quadratic equation which is parabolic in shape and it is opening upward.

As given in the problem, y=6x^2+12x-10

Using the formula, we can transformed the quadratic equation y=6x^2+12x-10 into its vertex form:

y=6x^2+12x-10

<span>y= (6x^2+12x)-10    (grouping)</span>

y=6(x^2+2x)-10 (factoring Common terms per group)

y=6(x^2+2x+1)-10-6 (Completing the squares)

<span>y=6(x+1)^2-16    (Factor and Simplify) </span>

 

Hence, the vertex form of y=<span>6x^2+12x-10 is y=6(x+1)^2-16</span>

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Maurinko [17]
An equivalent expression would be s+15


You simplify the expression.

So yea the answer is s+15
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3 years ago
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7,9,12 angles can form a triangle
Papessa [141]

Answer:

Yes

Step-by-step explanation:

Longest side < sum of two other sides

Is a condition to form a triangle

12 < 7+9

12 < 16

So, yes

5 0
3 years ago
F(x)=99, what is x?
Lady bird [3.3K]

The answer is x = 10, and it could alternatively be x = -10 depending on what topic this is and if negatives apply.

x^2 - 1 = 99
Add 1 to both sides.
x^2 = 100
Square root both sides
x = 10

Like this answer? Give it a Brainiest award if so.

3 0
3 years ago
Two geometry questions in the attached photos - If I have a line, do I have a plane? &amp; If I have three points, do I always h
Radda [10]

Answer:

18) A: only if you have an additional point not on the line.

19) D: No, because all the points may be on the same line.

Step-by-step explanation:

There are basically 4 ways we can determine a plane and they are;

- When we have three non - collinear points: What this means is that if we have three points that are not on one line, then it means that only one particular plane can pass through those points.

- When we have a line and a point that's not on the line

- When we have two lines that intersect each other.

- When we have two lines that are parallel to each other.

From the four conditions above, we can now answer the question;

18) You can only have a plane if there is an additional point not on the line.

Option A

19) Having just three points may not always be sufficient to have a plane because it's possible that the three points may be on the same line which is not a condition for a plane. Thus, option D is correct.

4 0
3 years ago
I need help understanding which is a,b, or c​
klemol [59]

Answer:

see explanation

Step-by-step explanation:

Using Pythagoras' theorem, that is

The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.

Using x instead of ?

(a)

The hypotenuse is the side opposite the right angle, that is 74, thus

24² + x² = 74²

576 + x² = 5476 ( subtract 576 from both sides )

x² = 4900 ( take the square root of both sides )

\sqrt{x^{2} } = \sqrt{4900}

x = 70

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

(b)

The hypotenuse x is the unknown side here

x² = 40² + 40² = 1600 + 1600 = 3200

Take the square root of both sides

\sqrt{x^{2} } = \sqrt{3200} ≈ 56.6 ( nearest tenth )

7 0
4 years ago
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