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
Irina-Kira [14]
3 years ago
7

Find the value of c that makes the expression a perfect-squaretrinomial.• 6) x2 + 26x + c​

Mathematics
1 answer:
slava [35]3 years ago
8 0
The value of c would be 169
You might be interested in
4. From a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of
Degger [83]

Answer:

P=0.228

Step-by-step explanation:

We know that from a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is to be selected.

Therefore, we have 34 people.

We calculate the number of possible combinations:

C^{34}_6=\frac{34!}{6!(34-6)!}=1344904\\

Of the 6 professors we choose 2, and of the other 28 people we choose 4.

We calculate the number of favorable combinations:

C_2^6\cdot C_4^{28}=\frac{6!}{2!(6-2)!}\cdot \frac{28!}{4!(28-4)!}=15\cdot 20475=307125\\

Therefore, the probability is:

P=\frac{307125}{1344904}=0.228

8 0
3 years ago
A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 12, length of BC is 11.5. A similar right trian
expeople1 [14]

Answer:

Option D is correct.

Length of PQ is 36 unit.

Explanation:

If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.

Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.

Also it is given that  Angle A is congruent to angle P and angle C is congruent to angle R.

To find the length of QR:

It is given that ΔABC and ΔPQR are Similar triangle

then, by the definition of similar triangle:

\frac{PQ}{AB} = \frac{QR}{BC}

Substitute the value of AB, QR and BC to solve for PQ;

\frac{PQ}{12}=\frac{34.5}{11.5} or

PQ = \frac{34.5 \times 12}{11.5}

On simplify:

PQ = 3 \times 12 = 36

Therefore, the length of side PQ is 36 units.





8 0
2 years ago
Read 2 more answers
Choose the following which is COMPLETELY correct:
Vlada [557]

Answer:

D

Step-by-step explanation:

Mean = (4+4+5+8+9) / 5

            30 / 5

             6

Median = put them in order and the one in the middle is the median.

                4, 4, <u>5</u>, 8, 9

Mode = the most common

            <u>4, 4</u>, 5, 8, 9

     

5 0
3 years ago
Combination and permutation problems. Giving brainliest to whoever works it out and explains it to me!
Ronch [10]

Answer:

5: Permutation. 6: Combination

Step-by-step explanation:

Being that the team of Basketball players are <u>Arranging</u> who will change the water cooler, then the Answer is <u>Permutation</u>.

Mei has homework, and she's deciding which subject to do first. She has a <u>Selection</u> of choices, thus being the Answer- <u>Combination</u>.

Hope this makes sense. If you need clarification, feel free to reach back out to me.

3 0
3 years ago
Amanda went to the store to purchase ink pens. She found three kinds of pens. The first cost $4 each; the price of the second ki
KonstantinChe [14]

Answer:

Amanda buy first kind of pen = 3

Amanda buy second kind of pen = 2

Amanda buy third kind of pen = 15

Step-by-step explanation:

Given - Amanda went to the store to purchase ink pens. She found three    

            kinds of pens. The first cost $4 each; the price of the second kind

            was 4 for $1; and the cost for the third kind was 2 for $1. She bought

            20 pens and she bought at least one of each kind. (It is possible to

            buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was

            $20.

To find - When she got back to her office, Amanda decided to turn this into

              a math problem for me. She asked: how many of each kind did I

              buy?

Proof -

Let Amanda buy first kind of pen = x

                      second kind of pen = y

                           third kind of pen = z

As given,

She bought total pen = 20

⇒x + y + z = 20          ...............(1)

Now,

As given,

cost for first kind pen = $4 for 1 pen

As she bought x pens of first kind , so

Cost of x pens of first kind = $4x

Now,

The price of the second kind was 4 for $1

⇒Cost of second kind = $\frac{1}{4} for 1 pen

As she bought y pens of send kind , so

Cost of y pens of second kind = $\frac{1}{4}y

Now,

The price of the third kind was 2 for $1

⇒Cost of third kind = $\frac{1}{2} for 1 pen

As she bought z pens of send kind , so

Cost of z pens of third kind = $\frac{1}{2}z

Now,

As given, The cost was $20

⇒4x + \frac{1}{4}y + \frac{1}{2}z = 20

⇒16x + y + 2z = 80             .....................(2)

∴ we get 2 equations

x + y + z = 20                   .....................(1)

16x + y + 2z = 80             .....................(2)

Now,

Subtract equation (1) from equation (2) , we get

16x + y + 2z  - ( x+ y + z )= 80 - 20

⇒16x + y + 2z - x - y - z = 60

⇒15x + z = 60

⇒z = 60 - 15x

Now,

Put the value of z in equation (1) , we get

x + y + 60 - 15 x = 20

⇒ y - 14x = 20 - 60

⇒y - 14x = -40

⇒14x - y = 40

⇒y = 14x - 40

Now,

we get

z = 60 - 15x

y = 14x - 40

As given

she bought at least one of each kind

it means x > 1, y > 1, z > 1

Now,

If x = 1, then y = 14 - 40 = -26

Not possible

If x = 2 , then y = 14(2) - 40 = -12

Not possible

If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15

Possible.

If x = 4,  then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0

Not Possible.

If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15

Not Possible.

∴ we get

x = 3, y = 2, z = 15

Amanda buy first kind of pen = x = 3

Amanda buy second kind of pen = y = 2

Amanda buy third kind of pen = z = 15

7 0
3 years ago
Other questions:
  • 29. Which integers represent a debit of $7 and a credit of $5?
    13·1 answer
  • 4fraction that are equal to 1/3
    5·1 answer
  • John earns $24,008 per year and claims 3 exemptions. His local tax rate is 5.5%. The amount for each exemption is $800. How much
    13·2 answers
  • Express 34% as a fraction in simplest form?
    7·2 answers
  • What is value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
    6·1 answer
  • Find the perimeter of the rectangle whose vertices are the points with coordinates (0,0), (2,0), (0,5), and (2,5).
    13·1 answer
  • Find the difference between 7/10 and 14/15
    11·1 answer
  • 11=p-7-3p<br> Please help me
    11·1 answer
  • The product of two consecutive positive integers is 26 more than ten times the largest of the two numbers.
    9·1 answer
  • 3x + 2y = 8<br> 5x + 2y = 12
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!