answer.
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
lianna [129]
2 years ago
12

Bao Yu is completing the square to solve the polynomial equation.

Mathematics
2 answers:
irga5000 [103]2 years ago
8 0

Solution:

The square of the given equation can be completed as below:

Here we will make the terms on left hand side such that it gets the form of a^2\pm2ab+b^2=(a\pm b)^2

x^2-x-3=0\\\\\text{Isolate the constant}\\\\x^2-x=3\\\\x^2-2\times\frac{1}{2}\times x +\frac{1}{2}^2=3+ \frac{1}{2}^2\\\\(x-\frac{1}{2})^2=\frac{13}{4}\\

Hence the correct option is isolating the constant , -3.

erastova [34]2 years ago
3 0
Bao Yu should isolate the constant, -3
You might be interested in
4. Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then p
cricket20 [7]

Answer:

Point E is given by \left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Step-by-step explanation:

Let points C and D be (x_0,y_0),\,(x_1,y_1) and let point E divides it in ratio m:n.

Then coordinates of point E are given by \left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )

Put m:n=3:4

Point E is given by \left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Now plot point E.

Download pptx
3 0
2 years ago
Your mayor just announced that the local unemployment rate dropped last month from the prior month. it went from 10.5% to 10.4%.
Lapatulllka [165]
It is a drop, but by only 0.1%. It isn't a significant drop. The average city has a population of about 20,000 people. 10.5 percent of 20,000 is 2,100. 10.4 percent of 20,000 is 2,080. So, it really isn't a significant drop.
Even if a city had a much larger population, it would still be a very small drop compared to the overall population.

8 0
2 years ago
Elias and Niko are polishing the silver at the heritage museum.Elias could polish all the silver himself in 40 minutes.That task
irina1246 [14]

Let x be the time it takes Elias and Niko to polish the silver working together. If Elias works alone, he could polish all the silver himself in 40 minutes. Then, in 1 minute, he will make \frac{1}{40} of the total work. If the same analysis is applied Niko, in 1 minute, will make \frac{1}{50} of the total work.


Working together Elias and Niko will need x minutes to make all the work. Then, in 1 minute, they will make \frac{1}{x} of the total work.  So, the fraction of the total work they make in 1 minute is given by this equation:

\frac{1}{x}=\frac{1}{40}+\frac{1}{50} \\ \\ \frac{1}{x}=\frac{50+40}{2000} \\ \\ x=\frac{2000}{90} \\ \\ \boxed{x=22.22 minutes}

6 0
2 years ago
Read 2 more answers
A rectangle has a length that is equal to 4 less than twice the width. The function for the perimeter depending on the width can
Lady_Fox [76]

Answer:

The mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2

Step-by-step explanation:

In the real world, length and width only make sense when they are positive. For that to be the case, the width must be greater than 2. There is nothing in the description that restricts the values to integers.

8 0
2 years ago
The triangles shown below must be congruent. True or false
Alex777 [14]
The correct answer to your question is false. this is because congruent triangles must have the same 3 angles and the same 3 sides, and while these triangles have the same angles, they dont have the same sides.
let me know if you have any other questions
:)
4 0
2 years ago
Read 2 more answers
Other questions:
  • Car Stars Auto Rental charges $35 a day plus $0.25 per mile. Car Express Auto Rental charges $17 a day plus $0.40 per mile.
    11·2 answers
  • If (82)p = 84, what is the value of p? 2 3 4 6
    11·1 answer
  • When constructing an angle bisector, why must the arcs intersect?
    8·2 answers
  • Which equation represents this number sentence? Two more than one-third of a number is 8
    14·2 answers
  • It took a cheetah 45 minutes to run from Jungle A to Jungle B. If the average speed for the trip was 80 km/h, what is the distan
    9·1 answer
  • There is a mountain with 45 bat caves in a row. Every cave has at least 2 bats and there are 490 bats in all. Any 7 caves in a r
    11·1 answer
  • Mr. Petrov was trying to choose between two different plans for dollhouses for his daughter. Both dollhouses have a rectangular
    11·2 answers
  • A certain reaction is endothermic in the forward direction. The reaction has less moles of gas on the product side. Which of the
    8·1 answer
  • A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = t
    5·1 answer
  • PLEASE HELP ME!!!!!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!