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DiKsa [7]
3 years ago
15

Find the value of c that makes the trinomial a perfect square.

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0

Answer:

a

Step-by-step explanation:

Given

x² - 2x + c

is a perfect square of the form

(x - a)² = x² - 2ax + a² compare with x² - 2x + c, then

- 2a = - 2 ⇒ a = 1, thus

a² = 1² = 1 = c

(x - 1)² = x² - 2x + 1 ← perfect square trinomial

Dafna1 [17]3 years ago
4 0

Answer:

<h2>a. 1</h2>

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2\\\\\text{We have}\ x^2-2x+c=x^2-2(x)(1)+c.\\\\\text{Therefore}\ c=1^2=1\\\\x^2-2(x)(1)+1^2=(x-1)^2

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Rita bought some large packets of salt weighing 500grams each and some small packets of salt weighing 200 grams each. If she has
Rama09 [41]
L+S=8, L=8-S

500L+200S=2200, using L from above in this equation gives you:

500(8-S)+200S=2200

4000-500S+200S=2200

4000-300S=2200

-300S=-1800

S=6, and since L=8-S:

L=2

So Rita bought 2 large packets and 6 small packets.
5 0
3 years ago
Evaluate the following expression. y + 9 when y = 12
tino4ka555 [31]

Answer:

21

Step-by-step explanation:

y+9 = ?

y=12

12+9=21

5 0
2 years ago
Read 2 more answers
Please help me with these questions. Thank you.
Bas_tet [7]

Answer:

36 x⁸y⁶

 √2/2

Step-by-step explanation:

Factor 1296 into its prime factors

           1296 = 24 • 34 

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

           1296 = 24 • 34 

No factors remain inside the root !!

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

           36 = 22 • 32 

At the end of this step the partly simplified SQRT looks like this:

         36 √(x¹⁶y¹²)

STEP2:Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

   (1) variables with no exponent stay inside the radical

(2) variables raised to power 1 or (-1) stay inside the radical

   (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

      √(x⁸)=x⁴

     √(x^-6)=x^-3

 

 Applying these rules to our case we find out that

      SQRT(x¹⁶y¹²) = x⁸y⁶

Combine both simplifications

      sqrt (1296x¹⁶y¹²) =  36 x⁸y⁶

Simplified Root : 36 x⁸y⁶ 

number 2)

3√2/3√4=

=3√2/3×2

=3√2/6

=3√2/6 ×3/3

=1√2/2

=√2/2

3 0
2 years ago
10.<br> 12 is 30% of<br> ....
irga5000 [103]

Answer:

Answer:

303.6

Step-by-step explanation

5 0
3 years ago
Kirk used 10.2 centimeters of tape to wrap 3 presents. How many presents did Kirk wrap if he used 23.8 centimeters of tape?
insens350 [35]

Answer:

Kirk wrapped 7 presents with those 23.8 cm of tape.

Step-by-step explanation:

Figure out the unit rate:

10.2 cm tape

-------------------

  3 presents

or

   3 presents

-----------------------

  10.2 cm tape

Multiplying this by 23.8 cm results in the number of presents Kirk wrapped with that much tape:

(3 presents)(23.8 cm tape

--------------------------------------- = 7 presents

           10.2 cm tape

Kirk wrapped 7 presents with those 23.8 cm of tape.

7 0
3 years ago
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