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1 year ago

Which is the graph of fx x2 2x 3

Mathematics

1 answer:

photoshop1234 [79]1 year ago

7 0

In the picture we can see the graph represents of the function f(x)=x²-2x+3 that is curve graph.

Given that,

We have to find the graph represents the function f(x)=x²-2x+3.

We know that,

The quadratic function is f(x)=x²-2x+3.

This is a vertical parabola open downward

The vertex is a maximum

We know,

A vertical parabola's equation in vertex form is equal to

y= a(x-h)²+k

where

a is a coefficient

(h,k) is the vertex

Here

a=1

(h,k)=(0,3) is vertex

The y-intercept is the point (0,3) is value of y when the value of x is equal to zero (is the same point that the vertex)

The x-intercepts are the points is values of x when the value of y is equal to zero

Therefore, In the picture we can see the graph represents of the function f(x)=x²-2x+3.

To learn more about function visit: brainly.com/question/9554035

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Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side

tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

$AC^2=AD^2+DC^2$

Upon substituting our given values in above formula we will get,

$x^2=(30\text{ cm})^2+(30\text{ cm})^2$

$x^2=900\text{ cm}^2+900\text{ cm}^2$

$x^2=1800\text{ cm}^2$

Let us take square root of both sides of our equation.

$x=\sqrt{1800\text{ cm}^2}$

$x=42.4264\text{ cm}\approx 42\text{ cm}$

Therefore, the length of diagonal of our given square is 42 cm.

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3 years ago

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artcher [175]

I believe believe 57

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3 years ago

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Gekata [30.6K]

Answer:

Step-by-step explanation:

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3 years ago

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Blababa [14]

Answer:

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Step-by-step explanation:

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3 years ago

Use the side-splitter theorem to solve for x in the triangle below.<br> 21<br> 42

alexandr1967 [171]

x = 8

Solution:

Side-splitter theorem:

<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>

$$\Rightarrow\frac{4}{21} =\frac{x}{42}$

Do cross multiplication, we get

⇒ 4 × 42 = 21x

Divide by 21 on both sides, we get

⇒ 4 × 2 = x

⇒ 8 = x

Switch the sides.

⇒ x = 8

The value of x is 8.

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3 years ago