Answers
Related Questions
If using the method of completing the square to solve the quadratic equation
x²-10x – 15 = 0, which number would have to be added to "complete the
square"?
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Answer:
For quadratic equations that cannot be solved by factorising, we use a method which can solve ALL quadratic equations called completing the square. We use this later when studying circles in plane analytic geometry.
Completing the square comes from considering the special formulas that we met in Square of a sum and square of a difference earlier:
(x + y)2 = x2 + 2xy + y2 (Square of a sum)
(x − y)2 = x2 − 2xy + y2 (Square of a difference)
To find the roots of a quadratic equation in the form:
\displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax
2
+bx+c=0,
follow these steps:
(i) If a does not equal \displaystyle{1}1, divide each side by a (so that the coefficient of the x2 is \displaystyle{1}1).
(ii) Rewrite the equation with the constant term on the right side.
(iii) Complete the square by adding the square of one-half of the coefficient of x to both sides.
(iv) Write the left side as a square and simplify the right side.
(v) Equate and solve.
Example 1
Find the roots of x2 + 10x − 4 = 0 using completing the square method.
Answer
Example 2
Solve 4x2 + x = 3 by completing the square.
Answer
Exercises
Solve the following quadratic equations by completing the square
Q1. \displaystyle{2}{s}^{2}+{5}{s}={3}2s
2
+5s=3Answer
Q2. \displaystyle{3}{x}^{2}={3}-{4}{x}3x
2
=3−4xAnswer
Q3. \displaystyle{9}{v}^{2}-{6}{v}-{2}={0}9v
2
−6v−2=0Answer
Q4. \displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax
2
+bx+c=0Answer
1. Solving Quadratic Equations by Factoring
3. The Quadratic Formula
x² -10x = 15
x² - 10x + 25 = 15 + 25
(x-5)² = 40
x = -2√(10) + 5
x = 2√(10) + 5
How would you write this number in numeric form?
twenty-two and ninety-four thousandths
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Answer:
22.094
Step-by-step explanation:
Pleasssseeeee help its almost due
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3x+3y=−x+5y what is the ordered pair
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Answer:
2x-y=0
Step-by-step explanation:
I really really need help fast please
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Answer:
-4.24264069; -4.2 (nearest tenth); -4.24 (nearet hundreths)
Step-by-step explanation:
square root of 72 = 8.48528137 or 8.5 (rounding to tenths)
square root of 2 = 1.41421356 or 1.4
square root of 128 = 11.3137085 or 11.3
Consider the quadratic function: f (x) = 5x2 + 20x + 20. What are the zeros of the function using completing the square?
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Step-by-step explanation:
step 1. f(x) = 5x^2 + 20x + 20
step 2. f(x) = 5(x^2 + 4x + 4)
step 3. f(x) = 5(x + 2)^2
step 4. 0 = 5(x + 2)^2
step 5. zeros: -2
En que bote se hizo más Rosa más intenso en el de pintura roja y blanca en el cada color
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Having trouble solving this:
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Answer:
It's the third option.
Step-by-step explanation:
Because if [tex]\frac{7}{10}[/tex] was converted into a decimal it would be 0.7 plus 666, it would be 666.7
Answer:
it's the 3rd one
Mr. Patel bought lunch at a restaurant for $7.35. If he paid with a $10.00 bill, how much change did he get back?
A.
$2.55
B.
$2.65
C.
$3.35
D.
$3.65
Answers
Answer:
b. $2.65
Step-by-step explanation:
$10.00 - $7.35 = ?
$10.00 - $7.35 = $2.65
Answer:
your answer would be b. $2.65
Solve for x, Round to the nearest 100th if needed.
x13+18=49
x=?
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Step-by-step explanation:
X=49-18/13
X=31/13
X=2.38
so nearest 100 th would be 2.4
question: which angles are vertical angles?
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6 and 7 are vertical.
5 and 8 are vertical.
Answer:
<AOD, <BOC And <DOC ,<AOB
Find the missing leg?
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Answer:
11
Step-by-step explanation:
13×13 = 169
17 × 17 = 289
289 - 169 = 120
Square root of 120 is 10.95
Round answer to 11
secA-tanA/secA+tanA=cos^2A/(1+sin^2A) could somebody prove this pls......
Answers
9514 1404 393
Answer:
it cannot be proven
Explanation:
You cannot prove what isn't true.
We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.
Which of the following descriptions is TRUE regarding linear and exponential functions?
There is no difference between a linear function and an exponential function.
Linear functions cross the y-axis above exponential functions.
Linear functions slope down, while exponential functions slope up.
Linear functions have a constant slope, while exponential functions start flat and get steeper.
Answers
Answer: Linear functions have a constant slope, while exponential functions start flat and get steeper
Step-by-step explanation: I just took the quiz so I know it’s right. I hope this helps :)
Answer:
Answer: Linear functions have a constant slope, while exponential functions start flat and get steeper
Step-by-step explanation:
I took the test
Which are the partial products for 8x362? Select all that apply.
Answers
Answer:
Are you guys classmates?
PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT
Answers
Answer:
1120 super easy
Step-by-step explanation:
8x10=80
80x14=1120
Help po plss
1.jane read 10books in one year,while huan rrad 8books.find the ratio jane's to juan's finished books .
2.nadine has 860 female followers out of a total of 1260followes in the social photosharing site find the ratio of female to male followers.
3.a public school has 4415 students and 1200 teachers.what is the ratio of the students to each other teacher.
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Answer:
1. 10:8 = 5:4 (simplest form)
2. 860:400 = 43:20 (simplest form)
3. 4415:1200 = 883:240 (simplest form)
Your sister goes to a restaurant with her friends. The total for the food is $50.43. How much TAX will you pay if the percentage rate is 6%?
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Answer:
3.0258
Step-by-step explanation:
50.43*6%=3.0258
Please help me with this !!
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Answer:
akismsksksialoalqoq kskw! sola skkss
Step-by-step explanation:
smksmskkwow!skkw
a line passes through the points (4,23) and (8,27). write a linear funtion rule in terms of x and y for this line
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Answer:
Step-by-step explanation:
(27 - 23)/(8 - 4)= 4/4= 1
y - 23 = x - 4
y = x + 19
y=3x+−7
Find the slope.
A. 7
B. -7
C. 3x
D. 3
Answers
Answer:
D.3
Step-by-step explanation:
In the equation for a line in the form y=mx+c, m represents the slope.
Therefore the slope is 3.
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + - 7 ← is in slope- intercept form
with slope m = 3
PLEASE HELP I'M SOO CONFUSED AND IT'S DUE TODAY!!!!!!!!!!!!!...I HAVE A LOT OF WORK TO DO TODAY AND I JUST NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
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Answer:
2 Triangles with the bilateral of the sun to the 2nd power of pie
Step-by-step explanation:
I took the test ;)
Please help am stuck thanks
Answers
Answer:
12.4 did this before
Step-by-step explanation:
Answer:
sɪʀ ʏᴏᴜʀ ᴀɴsᴡᴇʀ ɪs 12.4
ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴍɪᴅ ᴘᴏɪɴᴛ ᴛʜᴇʀᴏᴇᴍ
i cant figure the answer out can u help me (x+6)(3x-8)
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Answer:
3x² + 10x - 48
Step-by-step explanation:
Given
(x + 6)(3x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(3x - 8) + 6(3x - 8) ← distribute both parenthesis
= 3x² - 8x + 18x - 48 ← collect like terms
= 3x² + 10x - 48
-12 + 2t = - 14
Solve for t
Answers
Answer:
-1
Step-by-step explanation:
-12 + 2t = -14
12 + -12 + 2t = -14 + 12
2t = -2
2t/2 = -2/2
t = -1
OOPS my submitted answer was wrong.
Submitting this is so you can give other person points! :]
Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?
Answers
Answer: 5 2/6
Step-by-step explanation:
Answer:
5 2/3
Step-by-step explanation:
3 1/3 + 2 1/3
10/3 + 7/3
= 17/3
= 5 2/3
I hope I helped!!
help meee plssssssss
Answers
Answer:
A) Triangle PQR
Step-by-step explanation:
This is the correct triangle because it has the exact same measurements as Triangle ABC. Angles A and P are the same angle on the triangles and they have the same measure (70). Angles C and R are the same angle on the triangles and they have the same measure (75). To solve for Angle C in Triangle ABC though, add angles 70 + 35 together to get 105. A triangle has a total measure of 180, so subtract 180 - 105 to get 75.
Hope it helps!
Find the midpoint of the interval [-3, 6] along the number line.
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Answer:
1.5 or 3/2
Step-by-step explanation:
The midpoint of the interval [-3, 6] along the number line is 1.5.
The midpoint of an interval is the point that lies exactly in the middle of the two endpoints.
To find the midpoint of the interval [-3, 6], we use the midpoint formula:
Midpoint = (Endpoint1 + Endpoint2) / 2
In this case, Endpoint1 is -3, and Endpoint2 is 6:
Midpoint = (-3 + 6) / 2
Midpoint = 3 / 2
Midpoint = 1.5
The midpoint of the interval [-3, 6] is 3/2. This means that the point exactly halfway between -3 and 6 on the number line is 1.5 units to the right of -3 and 1.5 units to the left of 6.
Visually, if you plot -3 and 6 on a number line, the midpoint 3/2 (or 1.5) would be located at the center, equidistant from both endpoints.
To know more about number:
https://brainly.com/question/30328809
#SPJ2
!!!! Rectangle A’B’C’D is the image of rectangle ABCD after which of the following translations
Answers
Answer:
C
Step-by-step explanation:
6w= 12+6w divided by 2
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Answer:
12w=12 divided by 2
12w=6
=2
Step-by-step explanation: