All categories

3 years ago

What are the zeros of the function f(x) = x^2 + 5x + 5 written in simplest radical form?

Mathematics

1 answer:

Klio2033 [76]3 years ago

7 0

Answer:

2x = -5 +/- root 5 (opt 3)

Step-by-step explanation:

0 = 4f(x)

= 4(x^2 + 5x + 5)

= 4x^2 + 20x + 20

= (2x)^2 + 2*2x+5 + 25 - 5

= (2x + 5)^2 - (root 5)^2

= ((2x+5) - 5) ((2x + 5) + 5)

= (2x + 5 - 5) (2x + 5 - 5)

Therefore, 2x = -5 +/- root 5

Hope u understand.

Please mark as the brainliest

Thank You

You might be interested in

Solve the system of equations using elimination. 2x – 3y = 9 and 3x + 2y = –6

Whitepunk [10]

(0,-3) is the point which is your system of equations using elimination answer

5 0

3 years ago

Read 2 more answers

Which theorem explains why the circumcenter is equidistant from the vertices of a triangle

Brut [27]

Answer:

The proof is explained in step-by-step explaination.

Step-by-step explanation:

Circumcenter is the point at which the perpendicular bisector of sides of triangle intersects inside the circle.

This points lies inside the triangle as well as circle and the vertices of triangles lies on the circle. As a result the distance from circumcenter and vertices is called to be radius of the circle which is always equidistant from the center.

Hence, circumcenter is equidistant from the vertices of a triangle.

3 0

3 years ago

Read 2 more answers

A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed?

rewona [7]

Answer: A rectangle

Note: I am a bit confused between A), B), and C), but the answer I am going for is C).

Step-by-step explanation:

By definition, a cross-section is the intersection of a plane and a body of three dimensions.

A pentagonal prism has a pentagon as its base. and its lateral faces are rectangles.

If a plane perpendicular cuts the pentagonal prism to the base, this means that the plane is parallel to lateral faces, then, the shape of the cross-section that is formed is also a rectangle.

5 0

3 years ago

Nine times a number decreased by four

PolarNik [594]

Answer: 9x - 4

Step-by-step explanation:

We know that a number must be decreased by four. Let's break it up a little.

Nine times some number. We don't know what nine will be multiplied by, so we will just write a placeholder number: x. This number will be multiplied by nine. So it will turn into 9x.

We must decrease (subtract) from this by four. Subtracting 9x by four can be written as 9x - 4.

5 0

2 years ago

Read 2 more answers

What is the exact perimeter of kite ? Show your work.

Afina-wow [57]

Answer:

The perimeter of the kite is 29 units.

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the perimeter of the kite:

With the information given, we have four right triangles with a new point A, intersecting UW and VX. Those triangles are:

Δ UVA

Δ VWA

Δ UXA

Δ XWA

As we can see in the figure, length of UV and VW is the same and the length of UX and WX is also the same.

2. Let's find the value of UV and VW

UV is the hypotenuse of Δ UVA and it sides are 3 and 4 units length. So, we can calculate the length of UV this way:

Length of UV ² = UA ² + VA ²

Replacing with the real values:

Length of UV ² = 3 ² + 4 ²

Length of UV ² = 9 + 16

Length of UV ² = 25

√Length of UV ² = √25

Length of UV = 5 units ⇒ Length of VW = 5 units

3. Let's find the value of UX and WX

UX is the hypotenuse of Δ UXA and it sides are 3 and 9 units length. So, we can calculate the length of UX this way:

Length of UX ² = UA ² + XA ²

Replacing with the real values:

Length of UX ² = 3 ² + 9 ²

Length of UX ² = 9 + 81

Length of UV ² = 90

√Length of UV ² = √90

Length of UV = 9.5 units (rounding to the nearest tenth) ⇒ Length of WX= 9.5 units

4. Let's calculate the perimeter of the kite:

Perimeter of the kite = UV + VW + WX + UX

Perimeter of the kite = 5 + 5 + 9.5 + 9.5

Perimeter of the kite = 29 units

7 0

3 years ago