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
choli [55]
3 years ago
5

BRAINLIESTTTTTT!

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0
Part A
9x^2 + 24x + 16 = (3x + 4)(3x + 4)length of each side = 3x + 4 units.
Part B:
16x^2 - 25y^2= (4x + 5y )( 4x - 5y)
length = 4x + 5y and width = 4x - 5y
You might be interested in
P(x)= 3x^3-5x^2-14x-4
nexus9112 [7]
   
\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\


\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)


\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm  \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm  \sqrt{4+16}}{2}=\frac{2\pm  \sqrt{20}}{2}=\frac{2\pm  2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}



7 0
2 years ago
Mr. Huyck needs 8 gallons of punch for the school dance. How many<br> quarts of punch would he need?
koban [17]
32 bc eight times four equals 32
8 0
3 years ago
Read 2 more answers
A) 2-x,when x=5
MrRissso [65]

Answer:

a) 2-5 = -3

b) 3(4) + 2(4) = 20

c) (3(5)+2)(5-4) = 17

Step-by-step explanation:

Substitute the variables for their values and then solve from there. Hopefully this helps, I don't know if I answered your question fully.

7 0
2 years ago
Read 2 more answers
What can be represented as fractions, rational numbers, or irrational numbers?
Delvig [45]
Hmm question is a little confusing but fractions can be represented as division or a part of somthing, like 4 pieces of an 8 slice pizza, or you have 8 peices of pizza and you divide them by 4. Im pretty sure a rational number is any number that can be representated as a fraction. an irrational number is something you  cant express as a fraction like the square root of a number or pi.
3 0
2 years ago
Solve the proportion.
masya89 [10]

Answer:

14

Step-by-step explanation:

21 divided by 1.5 from the 3/2 you get 14

3 0
2 years ago
Read 2 more answers
Other questions:
  • Multiplying (-9)(-6)(2)=
    8·1 answer
  • Candace buys a board that is 12 feet long. The store incorrectly measures and prices the board at 13.2 feet. What is the percent
    9·2 answers
  • A basket contains 9 blue ribbons, 7 red ribbons and 6 white ribbons. What is the probability that a ribbon selected at random wi
    15·2 answers
  • How many arrangements of three digits can be formed from the digits zero through nine
    6·1 answer
  • a wedding reception was being held at Stefanina's restaurant can you please show how you have the answer
    7·2 answers
  • How do i graph fractions? <br>please help
    5·1 answer
  • PLEASE HELP!! MEEEEE 1
    12·1 answer
  • Question Help
    15·1 answer
  • Sammi designs a quilt composed of squares as shown what is the measure of angle z​
    12·1 answer
  • The radius of a circle is 37 miles. what is the circumference? use 3.14 for π​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!