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3 years ago

5

Rank the following from least to greatest based on their axis of symmetry.

1 answer:

brilliants [131]3 years ago

3 0

Finding the axis of symmetry.
1) Identify a, b, and c in the equation
f(x) = 4x² - 1 ⇒ a = 4 ; b = 0 ; c = -1
g(x) = x² - 8x + 5 ⇒ a = 1 ; b = -8 ; c = 5
h(x) = -3x² - 12x + 1 ⇒ a = -3 ; b = -12 ; c = 1

2) Formula of the axis of symmetry
x = -b/2a
f(x) ⇒ x = -0/2(4) = 0
g(x) ⇒ x = -(-8)/2(1) = 8/2 = 4
h(x) ⇒ x = -(-12)/2(-3) = 12/-6 = -2

Rank from least to greaters: -2, 0, 4 ⇒ h(x) ; f(x) ; g(x) CHOICE D

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Answer:

k=20

Step-by-step explanation:

when x approaches 4, the denominator x-4 approaches 0

if the denominator is 0, it means that this is invalid

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so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4

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2 years ago

What is the surface area of this triangular prism rounded to the nearest tenth? A) 48.6km2 B) 63.4 km2 C) 72.6 km2 D) 84.4 km2

Mekhanik [1.2K]

Correct option B) $63.4km^2$ .

<u>Step-by-step explanation:</u>

We have the following figure attached as shown below.

Now, this triangular prism have 2 similar right angled surfaces and 3 rectangular surfaces , Let's calculate area for all of them:

2 similar right angled surfaces

We know that area of triangle = $\frac{1}{2} b(h)$

⇒ $area = \frac{1}{2} b(h)$

⇒ $area = \frac{1}{2} (3.6)(7.7)$

⇒ $area = 13.86km^{2}$

But there 2 such surfaces so , $area = 2(13.86) = 27.72km^2$

3 rectangular surfaces

Area of rectangle = $length(breadth)$

⇒ $area_1 = 3.6(1.8)$

⇒ $area_1 = 6.48km^2$

⇒ $area_2= 7.7(1.8)$

⇒ $area_2 = 13.86km^2$

⇒ $area_3 = 8.5(1.8)$

⇒ $area_2 = 15.3km^2$

Total area = $6.48 + 13.86 + 15.3 = 35.64km^2$

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2 years ago

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