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
marissa [1.9K]
3 years ago
6

Select the polynomial that is a perfect square trinomial.

Mathematics
2 answers:
alexdok [17]3 years ago
8 0

Answer:

Option D. It's a perfect square trinomial.

Step-by-step explanation:

(a) 36x² - 4x + 16

= (6x)² - 2(2x) + (4)²

It's not a perfect square trinomial

(b) 16x² - 8x + 36

= (4x)² - 2x(4x) + (6)²

It's not a perfect square trinomial

(c) 25x² + 9x + 4

= (5x)² + 2(\frac{9}{2}x) + (2)²

It's not a perfect square trinomial

(d) 4x² + 20x + 25

= (2x)² + 2(10x) + (5)²

= (2x+5)²

It's a perfect square trinomial.

zepelin [54]3 years ago
8 0

Answer:

the answer is D.

Step-by-step explanation:

You might be interested in
Write the equation for the line that passes through (2, -4) and is
Kryger [21]

Answer: y= x-2

Step-by-step explanation:

Perpendicularity entails the slope of line a is -1 divided by the slope of line b

m1= (-1/m2)

From y=Mx +c

We compare with x-4y=7

y=(1/4)x-7/4

Meaning m2= 1/4

m1= -1/(1/4)= -1*4= -4

((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1

x1= 2, y1= -4

((y-(-4))/(x-2))= -4

((y+4)/(x-2))= -4

Cross multiply

y+4= -4(x-2)

y= x-2

3 0
2 years ago
You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk
Rina8888 [55]

Answer:

Part a) y=18.50x+100

Part b) The total cost is \$220.25

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

m=\$18.50\ per\ hour

The y-intercept or initial value is equal to

b=\$100

substitute

y=18.50x+100

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

so

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

y=18.50(6.5)+100\\y=\$220.25

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0
2 years ago
Which of the following are solutions to the equation below?
Ber [7]

Answer:

its B. -27

Step-by-step explanation:

5 0
3 years ago
What is the value of q in the equation 5q-10=75
Alex

Answer:

q=17

Step-by-step explanation:

5q-10=75

add 10 to both sides to cancel out -10 on the left side

5q-10+10=75+10

5q=85

divide both sides by 5 to get rid of the 5 in 5q

5q/5=85/5

resulting in:

q=17

5 0
2 years ago
Help please i dont know this thank you<33
jok3333 [9.3K]

Answer:

  • 42
  • 35
  • 16

Step-by-step explanation:

Put the value where the variable is and do the arithmetic. It can save some steps to simplify the expression first.

  35 -c³ +8 = 43 -c³

<u>c = 1</u>

  43 - 1³ = 43 -1 = 42

<u>c = 2</u>

  43 - 2³ = 43 -8 = 35

<u>c = 3</u>

  43 -3³ = 43 -27 = 16

The values that go in the blanks are 42, 35, 16.

_____

<em>Additional comment</em>

It does not take long to learn how to use a spreadsheet for evaluating the same formula with a number of different values of the variable(s). Graphing calculators can do this, too. It is always appropriate to use the right tool for the job.

Familiarity with multiplication and addition facts is a very good place to start. It is also useful to memorize the squares and cubes of small integers. The latter are needed here.

3 0
2 years ago
Other questions:
  • PLEASE SHOW WORK.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
    14·1 answer
  • 360 x 10 to the 3rd power over 1.8 x 10 to the negative 5th power evaluated in scientific notation. Please explain
    10·1 answer
  • What is the domain of the function Y=
    11·1 answer
  • A) 90 clockwise
    6·1 answer
  • David records the number of visitors to the snake exhibit each day for 6 days. His data are shown on the table.If admission is $
    11·1 answer
  • Wayne Webster is a teacher who makes $45,500 per year. His school district must pay FICA tax in the amount of 7.65% of his pay.
    6·1 answer
  • 1 - 5/6 &lt; 3x + 5/6 -2x
    13·1 answer
  • Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. If 2/5 of the caramel apples are covered in
    9·1 answer
  • (x + 1)(x + 2)(x + 1)(3x + 2)
    8·1 answer
  • which function is best represented by this graph?A) f(x) = -3x² + 2x + 1 B) f(x) = 3x² + 2x - 4C) f(x) = x² + x - 4D) f(x) = x²
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!