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
bazaltina [42]
3 years ago
9

PLEASE HELP I'LL GIVE YOU A BRAINLIEST!!!!!!!

Mathematics
1 answer:
aleksklad [387]3 years ago
8 0
A is the correct answer.

The first term is, <span> <span>z2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +z </span> its coefficient is <span> 1 </span>.
The last term, "the constant", is <span> -2 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -2 = -2</span> 

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is  <span> 1 </span>.

<span><span>     -2   +   1   =   -1</span><span>     -1   +   2   =   1   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  2 
                     <span>z2 - 1z</span> + 2z - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
                    z • (z-1)
              Add up the last 2 terms, pulling out common factors :
                    2 • (z-1)
Step-5 : Add up the four terms of step 4 :
                    (z+2)  •  (z-1)
             Which is the desired factorization

<span>Equation at the end of step  3  :</span><span> 3 • (z + 2) • (z - 1) = 0 </span>
You might be interested in
A field is a rectangle with a perimeter of 1220 feet. The length is 100 feet more than the width. Find the width and length of t
rosijanka [135]
To start, let x represent the width and x+100 represent the length. Since the perimeter of a figure is the sum of all the measurements of the side which can be represented by (x+100)+(x+100)+x+x and since you know your perimeter is 1220, you can set the expression equal to 1220. This would look like this:
(x+100)+(x+100)+x+x=1220

Once you have done that, combine any like terms (combine terms with the same variables and raised to the same power together) which would simplify to this:
4x+200=1220

Now that you have your like terms simplified, subtract 200 from both sides to get 4x=1020 and finally, to solve for x, or find the width, divide both sides by 4 to get x=255.

Now that you have your width, now you must find your length as the question asks to find the dimensions of the rectangular field. To find the length, add 100 to the width, 255 since according to the information given, the length is 100 more than the width. When you add 100 to 255, you should get that your length is 355. 

Now that you have your length and width, you can conclude that the dimensions of the field is 255 by 355 feet, which is your answer :)
3 0
4 years ago
A farmer uses 1/3 of an acre of land to grow carrots.
horrorfan [7]

Answer:

the answer is 1/45

Step-by-step explanation:

just use the proportion method

7 0
3 years ago
QUE<br>QUESTIONI<br>If 10% of a number is 200, what is 25% of the number​
enyata [817]

Answer: 25% of 200 = 50

Step-by-step explanation

6 0
3 years ago
Read 2 more answers
the volume of a pyramid is 84 cubic feet. the area of the base is 21 square feet. find the height of the pyramid
vladimir2022 [97]
Area of the base is 21 square feet
<span>Pyramid Volume = (Area of the Base * Height) ÷ 3
</span>
84 = (21 * Height) / 3Height = 84 * 3 / 21
Height = 12 feet
Source:http://www.1728.org/volpyrmd.htm


6 0
3 years ago
Find the two small as possible solutions ​
solong [7]

Answer:  \bold{b)\quad \dfrac{5}{6},\ \dfrac{25}{6}}

<u>Step-by-step explanation:</u>

12cos\bigg(\dfrac{2\pi}{5}x\bigg)+10=16\\\\\\12cos\bigg(\dfrac{2\pi}{5}x\bigg)=6\\\\\\cos\bigg(\dfrac{2\pi}{5}x\bigg)=\dfrac{1}{2}\\\\\\cos^{-1}\bigg[cos\bigg(\dfrac{2\pi}{5}x\bigg)\bigg]=cos^{-1}\bigg(\dfrac{1}{2}\bigg)

\text{Use the Unit Circle to determine when}\ cos=\dfrac{1}{2}\quad \rightarrow \quad\text{at}\ \dfrac{\pi}{3}\ and \ \dfrac{5\pi}{3}\\\\\\\dfrac{2\pi}{5}x=\dfrac{\pi}{3}\qquad and\qquad \dfrac{2\pi}{5}x=\dfrac{5\pi}{3}\\\\\\\bigg(\dfrac{5}{2\pi}\bigg)\dfrac{2\pi}{5}x=\dfrac{\pi}{3}\bigg(\dfrac{5}{2\pi}\bigg)\quad and\quad \bigg(\dfrac{5}{2\pi}\bigg)\dfrac{2\pi}{5}x=\dfrac{5\pi}{3}\bigg(\dfrac{5}{2\pi}\bigg)\\\\\\.\qquad \qquad \large\boxed{x=\dfrac{5}{6}\qquad and \qquad x=\dfrac{25}{6}}

6 0
3 years ago
Read 2 more answers
Other questions:
  • Triangle ABC is translated using the rule (x, y) → (x + 2, y - 2). Which of the following describes the horizontal and vertical
    6·1 answer
  • If points (5,-8) is reflected over the y-axis find the new coordinates
    9·1 answer
  • Write which numbers,if any,are solutions of the inequality. <br><br> N+9&lt;15 N=? 3,5,6,7,9
    9·1 answer
  • The cost for a music plan is $9.99 a year plus $0.25 per song download. If you paid $113.74 one year, how many songs did you dow
    10·1 answer
  • Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.
    9·1 answer
  • While gardening, John spend 1 1 2 hours planting and 2 1 8 hours trimming. What was the total hours worked by John in his garden
    14·1 answer
  • An airplane cruises 1 kilometer in 1 12 of a minute. what is its cruising speed?
    10·1 answer
  • You deposit $300 in an account. The account earns $54 simple interest in 4 years. What is the annual interest rate?
    9·1 answer
  • Can someone solve this and explain how they got the answer. PLS I NEED HELP ASAP
    8·1 answer
  • a restaurant sold 5 sandwiches and 7 pies everday for a week. how many sandwiches and pies combined were sold
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!