Completing the square method rearranges the equation to have the
square of linear equation and constant on both sides of the equation.
Responses:
The mistake is made in line 4The mistake is in not taking the square root of both sidesWhich is the correct completing the square method?The given equation is; x² - 10·x - 11 = 0
Line 1: p² - 10·p - 11 = 0
Which gives;
p² - 10·p = 11
Adding 25 to both sides gives;
Line 2: p² - 10·p + 25 = 11 + 25
11 + 25 = 36
Factorizing p² - 10·p + 25 = (p - 5)·(p - 5) = (p - 5)²
Line 3: (p - 5)² = 36
Which gives;
p - 5 = ±√36
Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)
Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1
Line 6: p = 11 or p = -1
The line Malik made a mistake is on line 4The mistake made is that in line 4, the root of both sides of the equation, rather than only the left side of the equation is to be taken.The constant on the left and side is then subtracted from the positive
and negative value of the square root of the right hand side to give two
results.
Learn more about completing the square here:
https://brainly.com/question/3939104
Marcus wants to earn an "A" in math for the 4th quarter. His teacher is averaging 4 test grades. His grades on the first three tests are 85, 95, and 88. What grade does he need to earn on his 4th test to end up with an average of 90?
Answer:
87
Step-by-step explanation:
Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability \dfrac{2}{5} 5 2 start fraction, 2, divided by, 5, end fraction of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss.
Answer: 0
Step-by-step explanation: khan academy
2. Which of the following expressions has a simplified
value of 2a + 2?
A. -6a + 9a + 4-2
B. -a + 4 + 5a-a-6
C. -8 + 3a + 10 - a
D. -10 -5a + 12 + 8a
Answer:
C) -8 + 3a + 10 -a = 2a + 2
Step-by-step explanation:
I think the answer might be C.
Step-by-step explanation:
That is because if you look at C, it is -8 + 3a + 10 - a. Since it says -a, it means you have to subtract 3a - a = 2a, since a variable equals one in algebra. Then all that is left is -8 + 10, which will give you 2, which will give you 2a + 2. Hope this helps.
What is the value of x? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = m A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.
Answer: 5
Step-by-step explanation:
What is the value of x?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
m
A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.
Answer: 10.2
I just took the test and this is the correct answer
hii please help asap ill give brainliest thanks
Answer: the answer is B
Step-by-step explanation:
The duty of the Vaishyas is sacrifice, giving gifts, agriculture, breeding, and trade. However, later the Sudras take over agriculture and breeding and the Vaishyas become traders, merchants, landowners, and money-lenders. ... The Vaishyas also focused on religious education, because they wanted to be “twice-born”
Answer:
Is B. Vaishyas
Step-by-step explanation:
In AWXY w = 2.5 inches, y = 2.4 inches and angle Y=122^ Find all possible values of angle W , to the nearest of degree .
Answer:
no possible triangles
Step-by-step explanation:
found on deltamath
Ms. Roberts studied her students' geography test scores and sleeping habits. She found that students who slept less tended to earn
lower scores on the test. What conclusion should she make?
Step-by-step explanation:
she should tell the students that sleep less to get to their beds early, as the brain needs rest to function properly
Answer:
There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.
Step-by-step explanation:
There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.
The sum of an integer and its _____ inverse is 0.
What is your shoe size?
Statistical
Non-statistical
Answer:
Non-statistical
Step-by-step explanation:
Answer:
If you are asking just me, or one person, non statistical, OR if you were asking more than one person, that would be statistical
Step-by-step explanation:
In ΔWXY, the measure of ∠Y=90°, WY = 8, YX = 15, and XW = 17. What ratio represents the tangent of ∠X?
Answer:
8/17
Step-by-step explanation:
jess picked 2/5 pound of blueberries on monday and 4/5 pound of blueberries on tuesday. she needs 2 pounds of blueberries to make a pie. how many more blueberries does jess need to pick?
Answer:
Jess needs to pick 4/5 pounds more of blueberries
Step-by-step explanation:
Jess needs 2 pounds, which can be written as a fraction as 10/5.
(10/5) - (2/5) - (4/5) = (4/5) more pounds of blueberries
i need help with this
Find the volume of the figure. Round your final answer to the
nearest hundredth if necessary.
8 m
I
18 m
3.95 m
3.95 m
16 m
The volume of the figure is
m3.
Answer:
377.62 m³
Step-by-step explanation:
V = 16 × 3.95 × 8 - 8 × 3.95 × (8 - 3.95)
V = 377.62
Which equation represents the graph shown?
O y=3x
X
3
x = 3y
O y=x+ 3
Answer:
y = 3x
Step-by-step explanation:
The slope = 6/2 = 3 and it passes through the origin so its of the form y = mx where m = the slope.
5(4z-3) =- 7(1-5x+9)
Answer:
x=4z+11/7
z = 7 x 4 − 11 /4
Step-by-step explanation:
hope it is correct
please mark as brainliest
thank you
Compare the two box plots. Which of the following statements is not true. Whoever gets right gets Brainly
What’s the answer????
Answer:12
Step-by-step explanation:12
In ΔOPQ, q = 110 inches, o = 970 inches and ∠P=167°. Find the area of ΔOPQ, to the nearest square inch.
Answer:
[tex]Area = 12004[/tex] square inches
Step-by-step explanation:
Given
[tex]q = 110[/tex]
[tex]o = 970[/tex]
[tex]\angle P =167[/tex]
Required
The area of the triangle
To do this, we use:
[tex]Area = \frac{1}{2} * o * q * sin(P)[/tex]
So, we have:
[tex]Area = \frac{1}{2} * 970 * 110 * sin(167^\circ)[/tex]
[tex]Area = \frac{1}{2} * 970 * 110 * 0.2250[/tex]
[tex]Area = 12003.75[/tex]
Approximate
[tex]Area = 12004[/tex]
Answer:
12001
Step-by-step explanation:
Find the perimeter and area of the following figure. Must show your work to receive
credit.
10.
6
Perimeter=
Area=
Answer:
the area is 60
Step-by-step explanation:
Kay’s survey method produced results that are / are not representative of all people in her area because it is a random / biased sample. What can Kay do to improve the quality of her data?
Answer:
she proved that it wasn't representative
Step-by-step explanation:
how many lines of symmetry does the letter x have
Answer:
Step-by-step explanation:
I think it's got 4, one on the X axis, one on the y axis, one on the y=x line and one on the y =-x line :P
A teacher gave a test to three classes that contained 27, 25, and 23 students. A total of 18 students scored an A on the test. Based on this information, which statement is true?
QUICK will give brainlist
What is the shape of each half of the pentagon?
Answer:
trapezoid
Step-by-step explanation:
Answer:
Trapezoids and diamonds but you really have to look closely
Step-by-step explanation:
6 times the dierence of d and 5
Answer:
6(d - 5)
Step-by-step explanation:
The difference of d and 5 represents (d - 5)
Multiply that by 6 to get 6(d - 5)
What is the area of the polygon?
Answer: [tex]810m^{2}[/tex]
Step-by-step explanation:
First, we divide the composite figure into two distinct geometric shapes. This would be a triangle and a square. To find the triangle we use the formula:
A = 1/2bh
To find the base of the triangle we can add:
9 + 9 + 18 = 36
Now we plug in and solve:
A = 1/2bh
A = 1/2(36)(27)
= 1/2(972)
= 486
To find the square, we can use length x width:
18×18 = 324
Now, we add the sums together:
486 + 324 = 810
xsquare multiply by 6x =0
Answer:
x = 0
Step-by-step explanation:
take the root of both sides and solve
I hope this helps :)
please help! find the solution set of the inequality
Answer:
[see below]
Step-by-step explanation:
[tex]5x+13\geq -37\\\\5x+13-13\geq -37-13\\\\5x\geq -50\\\\\frac{5x\geq -50}{5}\\\\ \boxed{x\geq -10}[/tex]
Hope this helps.
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!
I already answer this on the other one, but here it is again.
Answer:
13 5/8 Or 13.625
Explanation:
• Let's start with 1/4. There are five days that has the amount of 1/4 of rainfall.
So we have to add all five of the 1/4 or just multiply:
1/4 x 5 = 5/4
• Now for the 3/8. There are twelve days that has that amount of rainfall.
3/8 x 12 = 36/8
· For 1/2. There are five days.
1/2 x 5 = 5/2
· For 5/8. There's five days.
5/8 x 5 = 25/8
• Lastly for 3/4. There is three days.
3/4 x 3 = 9/4
• Now we add all of the amount together: 5/4 + 36/8 + 5/2 + 25/8 + 9/4
- To add, we have to find the Least Common Denominator (LCD), which is 8.
So we have to make all of the fractions into a denominator of 8 by multiplying:
5/4 –> 10/8 (Multiply by 2)
36/8 (Stays the same, already have the denominator of 8)
5/2 –> 20/8 (Multiply by 4)
25/8 (Stays the same, already have the denominator of 8)
9/4 –> 18/8 (Multiply by 2)
• Now add:
10/8 + 36/8 + 20/8 + 25/8 + 18/8 = 109/8
109/8 = 13 5/8
Or as decimal form: 13.625
rewrite the radical equation
Answer:
12x³y⁴z³[tex]\sqrt{z}[/tex]Step-by-step explanation:
[tex]\sqrt{144x^6y^8z^7}[/tex] =[tex]\sqrt{12^2(x^3)^2(y^4)^2(z^3)^2z}[/tex] =12x³y⁴z³[tex]\sqrt{z}[/tex]Answer:
solution given:
[tex] \sqrt{144 {x}^{6} {y}^{8} {z}^{7} } = \sqrt{(12 {)}^{2}( {x}^{6} ) {y}^{8} ( { {z}^{1} })^{6} } = 12 {x}^{3} {y}^{4} {z}^{3} \sqrt{z} [/tex]
is your answer.
can someone solve #8?