All categories

3 years ago

What number should be added to both sides of the equation to complete the square x^2+3x=6

1 answer:

8 0

Take half of the coefficient of x: It is 3, and half that is 3/2.

Then x^2+3x=6 becomes:

 x^2+3x + (3/2)^2 =6 + (3/2)^2, and

(x+3/2)^2 = 6 + 9/4

You were not asked to solve the equation, but why not do it for the practice?

Solve (x+3/2)^2 = 6 + 9/4 for x. There will be 2 values.

You might be interested in

What is a transformation that proportionally reduces or enlarges a figure.

Ratling [72]

Answer: Dilation is a transformation that proportionally reduces or enlarges a figure.

Step-by-step explanation:

A dilation a transformation that changes the size of the shape by using scale factor in particular ways .

It stretches or shrinks the actual figure. It produces similar figures.

Since the corresponding sides of similar figures are in proportion.

⇒ It proportionally reduces or enlarges a figure.

Hence, A dilation is a transformation that proportionally reduces or enlarges a figure.

8 0

3 years ago

The radius of a circle is 13miles. what is the area of a sector bounded by a 20 degree arc

Stolb23 [73]

Answer:

Area of the sector = 29.48 square miles.

Step-by-step explanation:

Given:

Radius of a circle = 13 miles

Angle bounded by the arc = 20 deg

To find

Area of the sector bounded by 20 degrees.

Note: Area of a sector = $\frac{(\theta)}{360}\times \pi\times r^2$

Plugging the values in the equation.

⇒ $\frac{(\theta)}{360}\times \pi\times r^2$

⇒ $(\frac{20}{360})\times 3.14\times 13^2$

⇒ $29.48$ square-miles

So the area of the sector bounded by 20 degree arc is 29.48 square miles.

5 0

3 years ago

Nora biked 8 miles north from her school to a park. Nora's brother rode a bus 15 miles

iVinArrow [24]

Park and the music store

6 0

3 years ago

Read 2 more answers

What's the basic geometric term for the part of an angle where two rays begin and go in two different directions?

wlad13 [49]

Answer

B. Vertex

Explanation

A vertex is the meeting point of two rays or lines. It is also defined as the point where two or more edges meet. The rays begin and go in two different directions from the vertex.

In geometry we can say that, it is where each angular point of a polygon, polyhedron, or other figure.

5 0

3 years ago

Help me with this question, please

anzhelika [568]

Answer:

Part 1: [ -4 = -8 ]

Part 2: Inconsistent

Step-by-step explanation:

Part 1

1. Move all terms that don't contain x to the right side:

3x - 6y+6y = -12+6y

= 3x = -12 + 6y

2. Isolate x:

$\frac{3x}{3} = \frac{-12+6y}{3}$

x = -4 + 2y

3. Substitute the new expression into the original:

-4 + 2y - 2y = -8

4. Simplify:

-4 + 0 = -8

[ -4 = -8 ]

Part 2

The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.

hope this helps!

7 0

1 year ago