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Tpy6a [65]
3 years ago
5

In which form is the following function written? Y-3=1/2(x-1)^2

Mathematics
2 answers:
larisa86 [58]3 years ago
7 0

Answer:

Cartesian Form ⇒ completing square

Step-by-step explanation:

y - 3 = 1/2(x - 1)²

y = 1/2(x - 1)² + 3  ⇒ vertex (1 , 3) minimum

laila [671]3 years ago
6 0

Answer:

The given equation is in vertex form.

Step-by-step explanation:

We have given a quadratic equation.

y-3 = 1/2(x-1)²

We have to find the form of the function.

y-k = a(x-h)² is vertex form of equation in which (h,k) is vertex of equation.

Comparing vertex form and given equation, we have

k = 3 and h = 1

Hence, vertex is (1,3).

So, the given equation is in vertex form.

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The height of a triangle is 8 cm more than the base. If the area is 24 cm2, find the height and base of the triangle.
Elden [556K]

Answer:

height = 12 cm

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Step-by-step explanation:

area of a triangle

base length × height / 2

x = height

y = base length

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24 = y × (y + 8) / 2

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squared equation

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solution

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y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =

= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8

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5 0
3 years ago
Simplify 24 – 6x – 18 + 5x<br><br> 3 – 3x<br><br> –x + 6<br><br> 2x – 3<br><br> –4x – 17
Svetach [21]

= <span><span>−x</span>+6</span>

<span>=<span><span> −<span>3x</span></span>+3</span></span>

<span>= </span><span><span>−x</span>+6</span>
= <span><span>2x</span>−3</span>

<span>= <span><span>−<span>4x</span></span>−<span>17</span></span></span>


6 0
3 years ago
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