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What value of cc will complete the square below and make the expression a perfect square trinomial?

Sav [38]

Question: What value of c will complete the square below ( $x^{2} +30x+c$ ) and make the expression a perfect square trinomial?

Answer: c = 225

Step-by-step explanation:

Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that a = x, and b² = c, but we need to find the numerical value of $c$ .

To do this, note that the middle term, or 2ab, corresponds with (is equal to) 30x. We know that a = x, and thus, 2ab = 2bx. Now, 2bx and 30x are corresponding terms; thus, 2bx = 30x.

Dividing by $2x$ on both sides gives us b = 15. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)

4 0

1 year ago

Amira is painting a rectangular banner 2 1/4 yards wide in the cafeteria. The banner will have a blue background. Amira has enou

elena55 [62]

Area of a rectangle:
A = w x h, where w is the width and h is the height.
w = 2.25 yd
A = 1.5 yd²
1.5 = 2.25 · h
h = 1.5 : 2.25 = 0.6667 = 2/3 yd
Answer:
The height of a banner is 2/3 yard.

4 0

4 years ago

Read 2 more answers

Heres a set of data 2.4, 1.6, 3.2, 0.3, 1.5 each peice of data is increases by 10, what is the mean? each new peice of data is d

Leviafan [203]

Step-by-step explanation:

Mean is the ratio of the sum of the sample data to the total sample size.

1) Given the set of data 2.4, 1.6, 3.2, 0.3, 1.5, if each piece of data is increases by 10, the new data's will be;

(10+2.4), (10+1.6), (10+3.2), (10+0.3), (10+1.5)

sum of the new data's = 59

Sample size = 5

Mean = 59/5

Mean = 11.8

Hence if the price of data is increases by 10, its new mean will be 11.8

2) If each new piece of data is doubles, the new set of data will be;

2(2.4), 2(1.6), 2(3.2), 2(0.3), 2(1.5)

= 4.8, 3.2, 6.4, 0.6, 3.0

Sum of new data = 4.8+3.2+6.4+0.6+3.0

Sum of new data = 18

sample size = 5

Mean = 18/5

Mean = 3.6

Hence the new mean if the data were doubles is 3.6

4 0

3 years ago

What is the equation of the directrix of the parabola given by the equation y2 = -24x?

erma4kov [3.2K]

The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.

<h3>What is Directrix of a Parabola ?</h3>

A parabola is a U shaped curve whose all point are at same distnace from a point called as focus and a line called as Directrix .

The equation of the parabola given is

y² = -24x

When the standard equation of parabola is

(y - k)² = 4p (x - h),

where the focus is (h + p, k) and the directrix is x = h - p.

here h = 0

p = -24/4 = -6

x = 0 - (-6)

x = 6

Therefore Option D is the correct answer.

To know more about Directrix

brainly.com/question/17376399

#SPJ1

4 0

2 years ago

Please help me, it's a multi-step problem

Vika [28.1K]

Answer:

The first part is B= -2t + 95.

Step-by-step explanation:

Every hour the battery drops by 2 so the equation is

current battery charge= (time)(-2)+(starting battery charge)

3 0

3 years ago