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3 years ago

Plot the vertex of f(x) = (x − 2)2 + 2. PLEASE HELP ME IM UPSET

Mathematics

1 answer:

8090 [49]3 years ago

3 0

<h3>Answer: The vertex is located at (2, 2)</h3>

====================================================

Explanation:

The general vertex form is

y = a(x-h)^2 + k

When we compare the function your teacher gave you to this template, then we see that

a = 1
h = 2
k = 2

The vertex is therefore (h,k) = (2,2)

The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).

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Which solid figure has 4 faces that are triangles and 1 face that is a rectangle?

Strike441 [17]

I think the answer is a tetrahedron

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3 years ago

If you have a new deck of shuffled cards, what is the probability you will choose a red card? (52 cards, no jokers) A) 1 13 B) 1

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3 years ago

2a=9b<br><br> Use the equality to find ratios of a:b

nevsk [136]

Answer:

3:6, 18:4 keep exploring man!

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2 years ago

Wendy is standing 60 feet away from a tree. Her eyes are 5 feet above the ground. She sees a bird hovering above a tree. The ang

Gennadij [26K]

The bird is 17 feet above the tree.

<u>Explanation:</u>

We need to think of this in terms of right triangles. If Wendy is 60 feet from a tree, the base of the right triangle is 60 feet. The height of the tree is the height of the right triangle. The angle of elevation is the one from the ground at her feet to the top of the tree and then to the bird. Let's start with the top of the tree first.

She's 60 feet away, we have the angle of elevation as 25 degrees, and we are looking for the height of the tree. In regards to the angle, the base of 60 is adjacent, and the height of the tree is opposite. The tangent ratio is height / base.

Let x be the height of the tree.

So,

$tan (25) = \frac{x}{60}$

$60 tan(25) = x\\\\x = 27.9 feet$

x is approximately 28 feet

Since, Wendy's eyes are 5 feet above the ground, the height of the tree becomes

28 + 5 = 33 feet

Let y be the height of the bird in the air

$tan(37) = \frac{y}{60} \\\\60 tan(37) = y\\\\y = 45.2 feet$

y is approximately 45 feet

Since, Wendy's eyes are 5 feet above the ground, the height of the tree becomes

45 + 5 = 50 feet

To know how far above the tree that bird is

50 - 33 = 17 feet

Therefore, the bird is 17 feet above the tree.

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3 years ago

A quality control technician checked a sample of 30 bulbs. Two of the bulbs were defective. If the sample was a representative,

bogdanovich [222]

I think that 30 bulbs are expected to be defective.

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2 years ago