What value in place of the question mark makes the polynomial below a perfect square trinomial x^2+24x+?

Mathematics

2 answers:

Ray Of Light [21]3 years ago

8 0

Answer:

Answer D

Step-by-step explanation:

Take half of the coefficient of x: Take half of +24, obtaining 12. Now square this 12, obtaining 144. This is the desired value. Answer D is correct.

kykrilka [37]3 years ago

7 0

Answer:

Step-by-step explanation:

Perfect square trinomials can be written as (a + b)² = a² + 2ab + b². In this case, we know that a = x so we can write this as x² + 2bx + b². Since we know that 2bx = 24x we can conclude that b = 12, so that means b² = 12 * 12 = 144.

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Mrs. Jones bought 6 kilograms of rice. After filling 10 containers with the same

9966 [12]

There are 514 gram rice in each container.

Step-by-step explanation:

Given,

Amount of rice = 6 kg

1 kg = 1000 g

6 kg = 6*1000 = 6000 g

Number of containers = 10

Rice left = 860 g

Let,

x be the amount in each container.

Total amount of rice - Number of containers*Amount in each container = Amount of rice left

$6000-10x=860\\6000-860=10x\\5140=10x\\10x=5140$

Dividing both sides by 10

$\frac{10x}{10}=\frac{5140}{10}\\x=514$

There are 514 gram rice in each container.

Keywords: linear equation, division

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8 0

3 years ago

I need help with this question, thank you. EXPLAIN.

ratelena [41]

Answer:

263.76

Step-by-step explanation:

It is 7 times 12 times 3.14. Then you round your answer

8 0

3 years ago

Read 2 more answers

What is the solution of the system y=-3x 3x+2y=6

irinina [24]

I like to solve these by graphing, so if you graph both of these functions (as shown in the picture below), you look for the intersection between the two graphs, which in this case is (-2,6).