Consider the derivation of the quadratic formula below. What is the missing radicand
in Step 6?
Answers
Answer:
[tex]\frac{b^2 - 4ac}{4a^2}[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required:
Complete step 6
At step 5, we have:
[tex](x + \frac{b}{2a})^2 = \frac{b^2}{4a^2} - \frac{4ac}{4a^2}[/tex]
Take LCM
[tex](x + \frac{b}{2a})^2 = \frac{b^2 - 4ac}{4a^2}[/tex]
Take square roots of both sides to get step 6
[tex]x + \frac{b}{2a} = \±\sqrt{\frac{b^2 - 4ac}{4a^2}}[/tex]
Hence, the missing radicand is: [tex]\frac{b^2 - 4ac}{4a^2}[/tex]
Related Questions
Graph on a coordinate plane P(-3,-5)
Answers
Answer:
Answer is in the image below
Answer:
P is simply the mark or letter that the point will be called. In this case we have -3,-5. You will move left 3 spaces from the origin and down 5 places from the spot you marked -3. After that will be point P
jemimah went to the market and bought 500g of meat 850g of fish and 900g of eggs. What is the total weight of the items she bought in a kilograms.
Answers
Answer:
2.25kg
Step-by-step explanation:
500g+850g+900g=2250
2250/1000=2.25kg
Which one is true
1
2
3
4
Answers
What is the value of x? i will give brainliest please help
Answers
Answer:
I completely forgot how to do this I'm sorry
Step-by-step explanation:
What does it mean if your inference is valid
Answers
In logic, an inference is a process of deriving logical conclusions from premises known or assumed to be true. The term derives from the Latin term, which means "bring in." An inference is said to be valid if it's based upon sound evidence and the conclusion follows logically from the premises.
hope this helped <3
Please help me, it's due today. I'll give 86 points to someone who answers and writes the problem step by step.
A 14 -in. diameter pizza is cut into 6 equal sides. About how many square inches of pizza are on each slice? Round to the nearest square inch.
Answers
Answer:
here go the answer hope it help
Step-by-step explanation:
PLEASE HELP FAST NEED IT FAST =)
Which pair of triangles demonstrates congruence with the AAS Postulate?
Answers
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
brainliest?
HELPPPPPPPP 5TH GRADE MATH Select the statement that correctly describes the relationship between these two sequences: 1, 2, 3, 4, 5 and 10, 20, 30, 40, 50.
Each term in the second sequence is 10 times the corresponding term in the first sequence.
Each term in the second sequence is double the corresponding term in the first sequence.
Each term in the second sequence is 20 times the corresponding term in the first sequence.
Each term in the first sequence is double the corresponding term in the second sequence.
Answers
Answer:
Each term in the second sequence is double the corresponding term in the first sequence.
Step-by-step explanation:
pls mark as brainliest
The correct statement that describe the two sequences is:
Each term in the second sequence is 10 times the corresponding term in the first sequence.
What is an arithmetic sequence?This is a type of sequence which have common difference between each term. It is represent mathematically as:
Tₙ = a + (n – 1)d
Where
Tₙ is the nth term
a is the first term
n is the number of terms
d is the common difference
How to determine the relationship between the sequences Sequence 1: 1, 2, 3, 4, 5 Sequence 2: 10, 20, 30, 40, 50Relationship =?Relationship = sequence 2 / sequence 1
For the 1st term Sequence 1 = 1Sequence 2 = 10Relationship =?Relationship = sequence 2 / sequence 1
Sequence 2 / sequence 1 = 10 / 1
Cross multiply
Sequence 2 = 10 × sequence 1
For the 2nd term Sequence 1 = 2Sequence 2 = 20Relationship =?Relationship = sequence 2 / sequence 1
Sequence 2 / sequence 1 = 20 / 2
Sequence 2 / sequence 1 = 10 / 1
Cross multiply
Sequence 2 = 10 × sequence 1
If we continue with the pattern above, we'll discovered that
Sequence 2 = 10 × sequence 1
Thus, we can conclude that:
Each term in the second sequence is 10 times the corresponding term in the first sequence.
Learn more about arithmetic sequence:
https://brainly.com/question/16130064
1.in an electrical circuit the current,I amperes, is directly proportional to the square root of the power,p watts.
I=4 when p=100
A) find an equation connecting I and P.
B) calculate I when P= 144
Answers
Answer:
A for ever I P=25
b. 5.76
Step-by-step explanation:
What is the value of y?
2y°
y +10°
50°
A. 400
B. 60°
C. 500
D. 30°
Answers
Answer:
a part
Step-by-step explanation:
Attachment added....
Hope it helps :)
25 points. Get it before the mod sees it!
gogogogo lol
Answers
Answer:
yy
Step-by-step explanation:
bi
please help ASAP!!!!!!!
Answers
Answer: the length of the base is 50 cm
Step-by-step explanation:
(50 POINTS) Express each sum using summation notation.
14. 3 + 3^2/2 + 3^3/3 ... + 3^n/n
15. 1 + 3 + 5 + 7 +... [2(12) - 1]
Answers
14: a
1
=
39
/2 0.25 313% 16%
15: 54
What is the surface area 3yd 3yd 3yd
Answers
Answer:
12
Step-by-step explanation:
your welcome :)
SOMEONE HELP ME ILL GIVE YOU 50 POINTS I AM DESPERATE I AM IN A MATHS TEST!
Answers
Answer:
12:2
4:24
6:1
Step-by-step explanation:
those 3 are the correct ones
please answer and explain and i’ll give brainliest
Answers
Step-by-step explanation:
I really want to help you but there's no question.
Bobby purchased a brand new car for $23,000 every year the car depreciates 20%. The function f(x)=23,000 × 0.8^x models this situation. How much will the car be worth after 6 years?
Answers
Answer:
that earns 3% interest compounded annually. He ... Is the equation A = 21000(1 – 0.12)'a model of ... (1+0.03)= 1.03 ... The value of a car purchased for $20,000 decreases ... Kathy plans to purchase a car that depreciates. ... B) P= 10,000(0.8) ... YEARS. Wolves d is less than 1! d is more than 11. 1 Growth f(x) = 80(0.1165).
Step-by-step explanation:
If x and y are two rational numbers such that x < y , then ______ is a rational number in between x and y.
Answers
Answer:
[tex]\dfrac{x+y}{2}[/tex]
Step-by-step explanation:
Let first number be x and another number is y.
A rational number is a fraction that can be expressed in the form of x/y.
A rational number between x and y is given by :
[tex]R=\dfrac{x+y}{2}[/tex]
So,
If x and y are two rational numbers such that x < y , then [tex]\dfrac{x+y}{2}[/tex] is a rational number in between x and y.
help pleaseeeeee ♀️
Answers
Answer:
9
my bad I realized mistake
Answer:
perimeter of square =4×side
36 inches =4×side
36 inches/4 =side
9 inches =side
An after school music program has 15 out 50 students practicing. Write 15/50 (15 over 50) as a decimal and as a percent.
Decimal -
Percent -
Answers
Now you can easily see decimal and percent form
Decimal: 0.30
Percent: 30 percent
Answer:
Percent- 30
decimal-0.3
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
Help me please....... :(
Answers
Answer:
The Degree of the polynomial is 3
Ops gets $140 per day and laborers get $100 per day. If 35 people were hired and payroll was $4820, how many ops were employed and how many laborers?
Answers
Answer:
2 laborers and 33 ops
Step-by-step explanation:
Given
Let:
L = Laborers
P = Ops
From the statements, we have:
[tex]L + P = 35[/tex] -- total people hired; and
[tex]140P + 100L = 4820[/tex] ---number of hirees
Required
Solve for L and P
Make L the subject in: [tex]L + P = 35[/tex]
[tex]L = 35 - P[/tex]
Substitute [tex]L = 35 - P[/tex] in [tex]140P + 100L = 4820[/tex]
[tex]140P + 100(35 - P) = 4820[/tex]
[tex]140P + 3500 - 100P = 4820[/tex]
Collect like terms
[tex]140P - 100P = 4820 - 3500[/tex]
[tex]40P = 1320[/tex]
Solve for P
[tex]P = 1320/40[/tex]
[tex]P = 33[/tex]
Substitute [tex]P = 33[/tex] in [tex]L = 35 - P[/tex]
[tex]L = 35 - 33[/tex]
[tex]L = 2[/tex]
the points (-9,f) and (-10,5) has a slope of 3. What is the value of f?
Answers
(5-f)/(-10-(-9)) = 3
(5-f)/(-1) = 3
5 - f = -3
-f = -8, f = 8
Solution: f = 8
You might need: Find the area of a circle with a circumference of 12.56 units.
Answers
Answer:
The area is 12.56 units^2 (same as circumference?)
Step-by-step explanation:
Assuming pi is 3.14, the equation for the circumference is C = 2 pi r
Fill it out for the radius (r)
12.56 = 2 3.14 r
12.56 = 6.28 r
r = 2
With the radius, the equation for the area is A = pi r^2
Fill it out for the area
A = 3.14 2^2
A = 3.14 4
A = 12.56
The graph of f(x) = x3 + x2 - 9x - 9 is shown.
Based on the graph, what are the solutions of x3 + x2 -
9x-9 = 0?
15
12
O x= -1,3
O x = -3, -1
O x= -3,-1,3
O x= -9, -3, -1,3
9
6
3
-5
4
-2
1
2.
4
X
3
-9
- 12
-15
Save and Exit
Next
Submit
Mark this and return
Answers
Answer:
-1, 3, -3
Step-by-step explanation:
I don't see the graph, but you can solve by factoring:
[tex]x^3+x^2-9x-9=0\\x^2(x+1)-9(x+1)=0\\(x+1)(x^2-9)=0\\(x+1)(x+3)(x-3)=0[/tex]
By the factor theorem, the solutions of f(x) are -1, 3, and -3.
The requried solutions of x³ + x² - 9x - 9 = 0 is x = -3, -1, 3. Option C is correct.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
To find the solutions of equation x³ + x² - 9x - 9 = 0, we need to find the x-intercepts of the graph of the function f(x) = x³ + x² - 9x - 9.
From the graph, we can see that the function intersects the x-axis at three points, which are approximately -3, -1, and 3. Therefore, the solutions of the equation are x = -3, x = -1, and x = 3.
Thus, the correct answer is x = -3, -1, 3.
Options A, B, and D are incorrect because they either do not include all three solutions or include additional solutions that are not present in the graph of the function.
Learn more about simplification here:
https://brainly.com/question/12501526
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help please, what does A equal??
Answers
============================================================
Explanation:
Refer to the diagram below. I've added the variables b, c and d to the drawing you posted.
The variable b is an inscribed angle, while variables c and d are arc measures.
For any inscribed quadrilateral, the opposite angles always add to 180. They are supplementary angles. This means the 110 degree angle and the angle b add to 180, so,
110+b = 180
b = 180-110
b = 70
Inscribed angle b is 70 degrees.
Next, we apply the inscribed angle theorem. This theorem says that the inscribed angle doubles in value to get its corresponding central angle measure (and therefore it's arc measure as well).
In other words, inscribed angle b = 70 doubles to 2*70 = 140 degrees. This represents the combination of arcs c and d. Therefore, c+d = 140. Note how inscribed angle b cuts off this longer arc.
We don't need to find the measure of arc c or arc d individually. We just need to find the measure of arc 'a'.
The four arc measures (161, a, c and d) all combine to a full 360 degree circle. Let's add those four parts, and set that equal to 360. We'll keep in mind that c+d = 140 as well.
So...
a+c+d+161 = 360
a = 360-161 - (c+d)
a = 360-161 - (140) ..... replaced "c+d" with "140"
a = 59
Arc 'a' is 59 degrees
Help help help help help
Answers
Answer:
6 ft
Step-by-step explanation:
The triangle CDE is half of the size of triangle ABC, so if you match up the corresponding sides, DE is half of AC. AC is 12 so DE is 6.
hope is helped!
Solve for the value of a
Answers
Answer:
a=7
Step-by-step explanation:
These two angles are complementary and the sum of their measures is 90°.
Therefore, we can create the equation: (5a+3)+52=90.
1. combine like terms. the equation becomes 5a+55=90.
2. -55 to both sides of the equation. the equation becomes 5a=35.
3. /5 to both sides of the equation. we can reach the conclusion that a=7
You will get 40 points if you help me and Brainliest!
Answers
Answer:
The answer is c It is hard to explain so sorry
Answer:
C
Step-by-step explanation:
The bus spans from 10 to 20 the absolute value of that is 10 the teachers span from 15 to 30 the absolute value of that is 15 making the teachers 5 miles more than the buses.
Rewrite the equation by completing the square. x^{2}+4x-21 = 0
Answers
Answer:
x={3,-7}
Step-by-step explanation:
brackets for list
Solve with quadratic formula
separate the solutions
Square
Answer:
2 for the first box and 25 for the second one.
Step-by-step explanation: