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leva [86]
3 years ago
9

Wiat number should be added to both sides of the equation to complete the square? X^2+x=11

Mathematics
2 answers:
Ivahew [28]3 years ago
7 0

Answer:

add 1/4 to each side

Step-by-step explanation:

x^2+x=11

We take the coefficient of the x term

1

Then divide it by 2

1/2

Then square it

(1/2) ^2 = 1/4

Add this to both sides of the equation

x^2 + x + 1/4 = 11+1/4

(x+1/2)^2 = 11 1/4

sukhopar [10]3 years ago
7 0

Answer:

0.25.

Step-by-step explanation:

x^2 + x = 11

(x + 0.5)^2 - 0.25 = 11

(x + 0.5)^2 - 0.25 + 0.25 = 11 + 0.25

(x + 0.5)^2 = 11.25.

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Translate the phrase into an algebraic expression the product of c and 8
MAVERICK [17]
Product is multiplying. when you multiply a letter with a number you don't put any symbols so it would be 8c
6 0
3 years ago
Find the volume of the triangular prism in the picture shown. Round your answer to the
Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = 9\dfrac{2}{3} yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

V=Bh              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}

B=2\times \dfrac{29}{3}

B=\dfrac{58}{3}

Putting B=\dfrac{58}{3} and h=4 in (i), we get

V=\dfrac{58}{3}\times 4

V=\dfrac{232}{3}

V=77.33...

V\approx 77.3

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0
2 years ago
Find the equation of the line
Valentin [98]

Answer:

y=-5x+1

Step-by-step explanation:

m=15-5/-6+4\\m=10/-2\\m=-5\\y=-5x+b\\x=4, y=5\\5=1(4)+b\\5=4+b\\5-4=b\\b=1\\y=-5x+1

7 0
3 years ago
Solve the quadratic equation: 2(x-3)^2-24-0
Keith_Richards [23]

Answer:

x=3+2×sqrt(3)

x=3-2×sqrt(3)

Step-by-step explanation:

2(x-3)²-24=0

2(x-3)²=24

(x-3)²=12

Case 1:

x-3=sqrt(12)=2×sqrt(3)

x=3+2×sqrt(3)

Case 2:

x-3=-sqrt(12)=-2×sqrt(3)

x=3-2×sqrt(3)

7 0
2 years ago
What is the area of this figure?<br> Enter your answer in the box below.​
viva [34]

Answer:

A = 81 m²

Step-by-step explanation:

The formula for area of the parallelogram is

 A = LH         where L is the length of the base, and H is the height

L is given as 9, and H is given as 5, so

 A = (9)(5) = 45 m²

The are of the triangle is

 A = (1/2)bh         where b is the base and h is the height

b is given as 9.  Its's 9 because that side of the parallelogram is parallel to the base of the parallelogram and is also equal in measure.  The height of the triangle is give as 8, so the area is..

 A = (1/2)(9)(8)

       A = 36  m²

The total area is

45 m² + 36 m² = 81 m²

8 0
3 years ago
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