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
Shtirlitz [24]
3 years ago
6

What is the factored form of the expression? d^2 = 36d + 324

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0

Answer:

(x-43.45)(x+7.45)=0

Step-by-step explanation:

We have the quadratic equation d^{2}=36d+324  i.e. d^{2}-36d-324=0

As, the roots of the quadratic equation ax^{2}+bx+c=0 are given by x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}.

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}, we get,

x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}

i.e. x=\frac{36\pm \sqrt{1296+1296}}{2}

i.e. x=\frac{36\pm \sqrt{2592}}{2}

i.e. x=\frac{36\pm 50.9}{2}

i.e. x=\frac{36+50.9}{2}  and x=\frac{36-50.9}{2}

i.e. x=\frac{86.9}{2}  and x=\frac{-14.9}{2}

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be (x-43.45)(x+7.45)=0

You might be interested in
△ABC△ABC is similar to △XYZ△XYZ. Also, side ABside AB measures 6 cm, side BCside BC measures 18 cm, and side XYside XY measures
ehidna [41]
I hope this helps you

3 0
3 years ago
Help me please ......,,,,
xz_007 [3.2K]

Answer:

Step-by-step explanation: for #1 its 6

for #2 it 12

#3 is 818

#4 is 423

#5 is 87

#6 is 500  

hope this helped!

3 0
3 years ago
Read 2 more answers
Given f(x) = –7x + 9 and h(x) = –5(–7x + 9), what are the slope and y-intercept of the graph of function h?
taurus [48]

The Slope of f(x) = –7x + 9  is (-7)

The slope of  h(x) = –5(–7x + 9) is (35)

The y-int of h(x) is (-45).

4 0
3 years ago
Read 2 more answers
A restaurant has 9 pounds of onion. The restaurant's manager ordered 4 more pounds of onion. The onions then were mixed and kept
Iteru [2.4K]

Answer:

6.5

Step-by-step explanation:

9 + 4 = 13 divide by 2 = 6.5 is your answer.

4 0
3 years ago
Simplify question 2 please ASAP !!!!
Mrrafil [7]

Answer:

\sqrt[3]{ - 0.125}  =  \sqrt{ - 1}  \times  \sqrt[3]{0.125 }  \\  = 5i

here i equals √-1

Step-by-step explanation:

Answer is 5i

If you have any doubts write in comments box.

HAVE A NICE DAY !

3 0
3 years ago
Other questions:
  • 3(2x+x)/6 > 1/3x+2 solve for x
    13·1 answer
  • Y = 2x - 2 , y = 2x + 9 . what's the solution ?
    13·2 answers
  • What is equal to 5^4 x 5^8
    7·1 answer
  • PLEEAASSEE HELP!!!!!!!
    11·1 answer
  • Which two numbers add up to 6___ and multiply to __6_?can you help me with all of these?1. multiply to -18 add to -172. multiply
    7·2 answers
  • Please help me with expansion and factorization of quadratic expressions.<br> a) -4x^2 + 2x^2
    13·1 answer
  • Simplify the expression<br> 13 (9x)
    5·2 answers
  • How long will it take a passenger train traveling at 160 miles per hour to travel from Denver, Colorado to Lincoln, Nebraska? Th
    8·1 answer
  • NEED HELP ASAP, WILL GIVE BRAINLIEST
    9·1 answer
  • In point slope form write the equation of the line with slope 4 which passes through the point (7,-13).
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!