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3 years ago

Which expression gives the distance between the points (2,5) and (-4,8)?

Mathematics

1 answer:

inessss [21]3 years ago

6 0

Square root of (5-9)^2+(1+6)^2

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Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 fee

dangina [55]

the height of the tree is 23 feet .

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

Here we have , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. We need to find Find the height of the tree. Let's find out:

According to question , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long . Let the angle made between Tony height and his shadow be x . Now , At the same time, the shadow of a nearby tree was 32 feet long. Since the tree is nearby so tree will subtend equal angle of x. Let height of tree be y , So

⇒ $Tanx=\frac{y}{32}$

But , From tony scenario

⇒ $Tanx=\frac{5.75}{8}$

Equating both we get :

⇒ $\frac{y}{32} = \frac{5.75}{8}$

⇒ $y=\frac{5.75(32)}{8}$

⇒ $y=23ft$

Therefore , the height of the tree is 23 feet .

3 0

3 years ago

Identify the vertex of y = x2 + 4x + 5.

Xelga [282]

ANSWER

The vertex is (-2,1)

EXPLANATION

We want to find the vertex of

$y = {x}^{2} + 4x + 5$

We complete the square to obtain,

$y = {x}^{2} + 4x + {(2})^{2} - {(2})^{2} + 5$

The first three terms forms a perfect square trinomial.

$y = {(x + 2})^{2} - 4 + 5$

The vertex form is

$y = {(x + 2})^{2} + 1$

This equation is in the form;

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

where (h,k)=(-2,1) is the vertex.

4 0

3 years ago

Read 2 more answers

Determine the value of the variable that makes the equation true. 12-b=12.5

dusya [7]

Answer:

B = -.5

Step-by-step explanation:

If B is negative is cancels out the prexisting negative making it positive.

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2 years ago

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Kipish [7]

Answer:Bet bro how you want it

Step-by-step explanation: sloppy or clean?

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3 years ago

For each graph below, state whether it represents a function.

valina [46]

Graph 1 and 3 are the only functions

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3 years ago