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irinina [24]
2 years ago
13

Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial.

Mathematics
1 answer:
Anna007 [38]2 years ago
7 0

The correct expression is (a) n = 100; (x + 10)^2

<h3>How to determine the value of n?</h3>

The expression is given as:

x^2 + 20x + n

Take the coefficient of x

k = 20

Divide by 2

k/2= 10

Square both sides

(k/2)^2 = 100

The above value represents the value of n

i.e.

n = 100

So, we have:

x^2 + 20x + 100

Expand

x^2 + 10x + 10x + 100

Factorize

x(x + 10) + 10(x + 10)

Factor out x + 10

(x + 10)^2

Hence, the correct expression is (a) n = 100; (x + 10)^2

Read more about trinomial at:

brainly.com/question/1538726

#SPJ1

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3 An open cone has a vertical angle measuring 40°
belka [17]

Answer:

13.41 cm

Step-by-step explanation:

The radius, height, and HALF of vertical angle makes a triangle.

Where

Radius will be the base of the triangle

Height will be the "height" of the triangle

Top angle will be HALF of vertical angle (40/2 = 20)

From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.

<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>

Tan(20) = opposite/adjacent

Tan(20) = 30/h

h = 30/Tan(20)

h = 13.41

So

The height of the cone would be around 13.41 cm

3 0
3 years ago
Find the area of the shape:
pshichka [43]

Answer:

(8×6)+2×((14+6)×6)

=48+2×(20×6)

=48+240

=288

Step-by-step explanation:

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3 0
2 years ago
Diego thinks that x = 3 is a solution to the equation x2 = 16. Do you agree? Explain or show your reasoning.
dlinn [17]

Answer:

No

Step-by-step explanation:

f(x) = x²

f(3) = 3²

     = 3 × 3

     =  9    Not 16

also

√16 = 4

8 0
3 years ago
The perimeter of a triangle is 240 cm. The lengths of the sides are 3:4:5.Calculate the lengths of the longest and shortest side
Ugo [173]

Answer:

60cm and 100cm

Step-by-step explanation:

12 parts in total

240/12 is 20

each part is 20

3x20 is 60 and 5x20 is 100

7 0
2 years ago
Work out the size of angle x
Ksju [112]

Answer:

35 deg

Step-by-step explanation:

since ABC is straight line. angle ABC should be 180 deg. implies

45 + 100 + x = 180 \\ x = 180 - 100 - 45 \\ x = 35 \: degree

6 0
2 years ago
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