1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wlad13 [49]
3 years ago
14

What value of c makes x2 − 24x + c a perfect square trinomial? −144 −48 48 144

Mathematics
2 answers:
NARA [144]3 years ago
8 0
I believe that the answer is 144 

jekas [21]3 years ago
7 0

Answer:

Option D. 144

Step-by-step explanation:

The given trinomial is x² - 24x + c and we have to find the value of c for which the given trinomial is a perfect square trinomial.

Out of given options for the value of c = 144 the given trinomial becomes as

x² - 24x + 144 = (x - 12)² which is a perfect square.

Therefore for c = 144 trinomial is a perfect square.

Option d. 144 is the correct option.

You might be interested in
The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Whic
denis23 [38]

The true statement is the circle has the radius equal to 7.

<h3>What is Equation of circle?</h3>

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

Learn more about this concept here:

brainly.com/question/11702700

#SPJ1

3 0
1 year ago
The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that current
stellarik [79]

Answer:

Population after 4 years = 49 (nearest unit)

Population after 5 years  = 47 (nearest unit)

Step-by-step explanation:

Yearly decrease = 4.6%

Decrease factor (what's left) = (100-4.6)% = 0.954

Current population, P = 60

population after n years = P(0.954)^n  (to the nearest unit)

Population after 4 years = 60(0.954)^4 = 49.7 = 49 (nearest unit)

Population after 5 years  = 60(0.954)^5 = 47.4 = 47 (nearest unit)

5 0
2 years ago
Read 2 more answers
What do you notice about the ratios of the lengths for each transversal? How do they compare?
lesya [120]

Answer:

Wait what my brain hurtssssss

4 0
3 years ago
Read 2 more answers
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
Which of these expressions requires a variable?
Tatiana [17]
D. there is no numbers to work with so you just have to use a variable
7 0
2 years ago
Other questions:
  • Which describes the intersection of planes A and B?<br> line CD<br> line ED<br> point C<br> point D
    14·2 answers
  • A survey found that 3 out of 5 seventh graders have an email account. It there are 315 seventh graders how many would you expect
    8·1 answer
  • Write an expression for 8 increased by g
    6·2 answers
  • The verbal expression for 15+r
    9·1 answer
  • Calculate the power in kilowats required to lift a 500 kg mass 12 meters in one second
    10·1 answer
  • In the next four questions, complete the proof of the converse of Theorem 37 (The diagonals of a rectangle are congruent.) by se
    12·1 answer
  • Select the true statement about triangle ABC.
    10·1 answer
  • What fractional parts is this ruler divided into
    5·1 answer
  • 2.4x-9 &lt; 1.8x+6 solve the inequality
    7·1 answer
  • Anyone help me please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!