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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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The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?
Phoenix [80]
Let's represent the two numbers by x and y.  Then xy=60.  The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0.  Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191.  Because the discriminant is positive, this equation has two real, unequal roots, which are
        -(-7) + sqrt(191)
y = -------------------------
             -2(1)

and 

        -(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
             -2(1)

Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.


Try thinking this way:  If the LCM is 60, then xy = 60.  What would happen if x=5 and y=12?  Is xy = 60?  Yes.  Is 5 seven less than 12?  Yes.






5 0
3 years ago
Find the volume and explain please ASAP.
olya-2409 [2.1K]

Answer:

1395in^3

Step-by-step explanation:

First find the volume of the cuboid, 15in x 9in x 7in = 945in^3

Then find the volume of the rectangular pyramid using the formula V=lwh/3, the total height is 17in so subtract the height of the cuboid from the total height, giving you 10in.

V=(15in)(9in)(10in)/3 = 450in^3

450in^3 + 945in^3 = 1395in^3

3 0
3 years ago
The first thats do 2 will get brainlist
Sedbober [7]

Answer:

6

Step-by-step explanation:

5 0
3 years ago
2x+12=6x-12<br> show all work
kenny6666 [7]
First off we want to combine "like-terms"
1. Subtract 6x , so it will look like this: 2x-6x+12=-12
2. Subtract the -12 from the first side so it looks like 2x-6x=-12-12
3. Combine like terms. So: -3x=-24 . The negatives will cancel out when dividing 24/3.

The final answer is 8 after dividing. Hope this helped!
6 0
2 years ago
What percentage is 11 of 88
Vera_Pavlovna [14]

Answer:

The answer is: 12.5%

Step-by-step explanation:

Divide 11 by 88. Multiply the result by 100 to get percent.

11/88 = 0.125

0.125 x 100 = 12.5%

Hope this Helps!! Have an Awesome Day!! (-:

6 0
3 years ago
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