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
Vikentia [17]
1 year ago
14

Find the value of c that makes t^2 - 22t+ c a perfect square trinomial.

Mathematics
1 answer:
allochka39001 [22]1 year ago
8 0

The expression is a perfect square trinomial if and only if c = 121.

<h3>How to get the value of c?</h3>

A perfect square trinomial is written as:

(a + b)^2 = a^2 + b^2 + 2ab

In this case, we have:

t^2 - 22t + c

We can rewrite this as:

t^2 - 2*11*t + c

Then we have:

a = t

b = -11

And we will have that:

c = b^2 = (-11)^2 = 121

Then we have:

t^2 - 2*11*t + 121

Which is a perfect square trinomial:

(t - 11)^2 = t^2 - 22t + 121

Learn more about perfect squares:

brainly.com/question/1538726

#SPJ1

You might be interested in
Complete the solution of the equation. Find<br> the value of y when x equals -4.<br> x + 3y = 14
LekaFEV [45]

Answer:

y = 6

Step-by-step explanation:

-4 + 3y = 14

+4            +4

3y = 18

----   ----

3      3

y = 6

4 0
4 years ago
ABCD is a trapezoid.<br> What is the area of trapezoid?
lana [24]
Let h represent the height of the trapezoid, the perpendicular distance between AB and DC. Then the area of the trapezoid is
  Area = (1/2)(AB + DC)·h
We are given a relationship between AB and DC, so we can write
  Area = (1/2)(AB + AB/4)·h = (5/8)AB·h

The given dimensions let us determine the area of ∆BCE to be
  Area ∆BCE = (1/2)(5 cm)(12 cm) = 30 cm²

The total area of the trapezoid is also the sum of the areas ...
  Area = Area ∆BCE + Area ∆ABE + Area ∆DCE
Since AE = 1/3(AD), the perpendicular distance from E to AB will be h/3. The areas of the two smaller triangles can be computed as
  Area ∆ABE = (1/2)(AB)·h/3 = (1/6)AB·h
  Area ∆DCE = (1/2)(DC)·(2/3)h = (1/2)(AB/4)·(2/3)h = (1/12)AB·h

Putting all of the above into the equation for the total area of the trapezoid, we have
  Area = (5/8)AB·h = 30 cm² + (1/6)AB·h + (1/12)AB·h
  (5/8 -1/6 -1/12)AB·h = 30 cm²
  AB·h = (30 cm²)/(3/8) = 80 cm²

Then the area of the trapezoid is
  Area = (5/8)AB·h = (5/8)·80 cm² = 50 cm²
6 0
3 years ago
Kevin is 5 feet tall. Which proportion could you use to find the height of the flagpole? A. 3/5=12/x
dalvyx [7]
The answer is going to be A.

Shadow 1 / Height 1 = Shadow 2 / Height 2
4 0
3 years ago
Read 2 more answers
How do you find the derivative of 1/logx?
valentina_108 [34]

The derivative of 1/logx is With the chain rule.

1log(x)=log(x)−1 is ,= -1xlog(x)2 .

The by-product of logₐ x (log x with base a) is 1/(x ln a). Here, the thrilling issue is that we have "ln" withinside the by-product of "log x". Note that "ln" is referred to as the logarithm (or) it's miles a logarithm with base "e".

The by-product of 1/log x is -1/x(log x)^2. Note that 1/logx is the reciprocal of log.

With the chain rule. \\ 1log(x)=log(x)−1  \\ So you follow the chain rule to the electricity after which to the log: \\ ddxlog(x)−1=−1⋅log(x) \\  \\−2⋅ddxlog(x)  \\ =−1log(x)21x  \\ =−1xlog(x)2 .

Read more about derivatives;

brainly.com/question/23819325

#SPJ4

5 0
1 year ago
What is the equation of the line?
hram777 [196]

Answer:

The Second one y=1/3x

Step-by-step explanation:

Because when you substitute x by 3 ( for example) then, you get y = 1

and that's right from the graph.

3 0
3 years ago
Other questions:
  • What is the relationship between A: Vertical angles <br> B: Complementary angles <br> C: Supplementary angles <br> D: None of th
    13·1 answer
  • Solve 4 log12 2 + log12 x = log12 96.
    6·2 answers
  • Find the value of a and b<br><br> a^2 + b^2 = 400
    9·2 answers
  • Translate each phrase into a variable expression. use n for the variable
    14·2 answers
  • I need to know how long is each side of the infield. Btw in the picture on the bottom right it says A=81in squared
    12·1 answer
  • How do you solve 34.86 x 1.2?
    14·1 answer
  • What did you analyze after watching the vampire diaries?
    9·2 answers
  • Find the value of x.<br><br>Please help!!​
    5·2 answers
  • ASAP help. <br>help help​
    8·2 answers
  • Solve this so you get coordinates as ur answer
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!