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3 years ago

Please help me with this "Test of Genius" A-78. Need all of the answers...

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

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4. An extension ladder is leaned up against a building to reach a window that is 16.1 feet

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Answer:

a) ~18.95ft

b) ~58°

c) ~32°

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3 years ago

A side of 6 feet, and a 120° angle A. One B. None. C. Many

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3 years ago

If 1/a, 1/b, 1/c are in Arithmetic Progress, show that 2ac/a+c.

Iteru [2.4K]

1/b-1/a = 1/c-1/b [ since they are in arithmetic progress]
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3 years ago

DOG A dog is leashed to the corner of a house. How much running area does the dog have? Explain how you found your answer.

Eduardwww [97]

Answer:

The area will be $\frac{3\pi r^{2} }{4}$ where r is the length of the leash.

Step-by-step explanation:

The area of a circle is pi times the radius squared. One forth of that area is not available for the dog to run: its the corner of the house. so what's left is 3/4 of the area of the circle. (3/4)πr²

Since the length of the leash is not given in the question, no specific Area can be answered. Once that value is substituted for r, the actual area can be calculated.

7 0

3 years ago

PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest

Ratling [72]

Answer:

he rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Step-by-step explanation:

A quadratic equation is given by:

$ax^2+bx+c =0$

Here, a, b and c are termed as coefficients and x being the variable.

Axis of symmetry can be obtained using the formula

$x = \frac{-b}{2a}$

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

$f(x) = x^2 + 6x - 1$

⇒ a = 1, b = 6 and c = -1

$g(x) = -x^2 + 2$

⇒ a = -1, b = 0 and c = 2

$h(x) = 2^2 - 4x + 3$

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in $f(x) = x^2 + 6x - 1$ will be:

$x = \frac{-b}{2a}$

x = -6/2(1) = -3

and axis of symmetry in $g(x) = -x^2 + 2$ will be:

$x = \frac{-b}{2a}$

x = -(0)/2(-1) = 0

and axis of symmetry in $h(x) = 2^2 - 4x + 3$ will be:

$x = \frac{-b}{2a}$

x = -(-4)/2(2) = 1

So, the rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Keywords: axis of symmetry, functions

Learn more about axis of symmetry from brainly.com/question/11800108

#learnwithBrainly

7 0

3 years ago