Answers
Answer:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Step-by-step explanation:
Hello!
Let's start with the given equation and work our way towards x.
Solve for x[tex]ax^2 + bx + c = 0[/tex]Divide both sides by a
[tex]a(x^2 + \frac bax + \frac ca) = 0[/tex] [tex]x^2 + \frac bax + \frac ca = 0[/tex]Move c/a to the other side
[tex]x^2 + \frac bax = -\frac ca[/tex]At the step, we have to use the Completing the Square method.
[tex]x^2 + \frac bax + (\frac{b}{2a})^2 = -\frac ca + (\frac b{2a})^2[/tex][tex]x^2 + \frac bax + \frac{b^2}{4a^2} = -\frac ca + \frac {b^2}{4a^2}[/tex][tex](x + \frac b{2a})^2= -\frac ca + \frac{b^2}{4a^2}[/tex]Multiply -c/a by 4a and add the two fractions
[tex](x + \frac b{2a})^2= \frac{b^2 - 4ac}{4a^2}[/tex]Square Root both sides
[tex]\sqrt{(x + \frac b{2a})^2}= \sqrt{\frac{b^2 - 4ac}{4a^2}}[/tex][tex]x + \frac b{2a} = \pm\frac{\sqrt{b^2 - 4ac}}{2a}}[/tex]Subtract b/2a
[tex]x = \pm \frac{ \sqrt{b^2 - 4ac}}{2a} - \frac b{2a}[/tex][tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]And that's the derivation of the Quadratic Formula.
Related Questions
can you help me out ..please and thank you
Answers
if 35% of a number is 140 what is that number
Answers
What is the sum of the 12th square number and the 10th square number?
Answers
Answer:
12^2 is 144 and 10^2 is 100 :)
Step-by-step explanation:
12 * 12 = 144
10 * 10 = 100
The sum of the 12th square number and the 10th square number is 244. This problem is based on the principle of addition.
The principle of addition states that when two numbers are added together, their sum is a unique number which is not necessarily be divisible by either the numbers or their factors. The addition is inverse operation of the subtraction.
The square of 12th number is 12² = 12 × 12 = 144.
The square of 10th number is 10² = 10 × 10 = 100.
The sum of both numbers = 144 + 100 = 244.
Hence, the answer to the given problem is 244.
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Choose yes or no to tell whether each expression is equivelent to this expression -3(0.15-0.2+0.25p)
Answers
Answer:
See Explanation
Step-by-step explanation:
No options were given. So, I will just solve the question (step by step) in order to get numerous equivalent expressions.
The result of each step is an equivalent expression
We have:
[tex]-3(0.15-0.2+0.25p)[/tex]
Simplify the bracket
[tex]-3(-0.05+0.25p)[/tex]
Open bracket
[tex]-3*-0.05-3*0.25p[/tex]
Simplify each term
[tex]0.15-0.75p[/tex]
Help me, not sure how to solve this, my teacher didn't teach us yet, and I want a solid understanding of it, so the answer will be great! Also will give the most brainliest!
Answers
Step-by-step explanation:
10 + 5x = 10 + 5(15)
= 10 + 75
= 85°
4x - 10 = 4(15) - 10
= 60 - 10
= 50°
6x - 5 = 6(15) - 5
= 90 - 5
= 85°
-------------------------FOLLOW MEWhat’s 10-8+434+87+64
Answers
i trust my calculator
Find the value of x. Round to the nearest degree as needed.
Answers
9514 1404 393
Answer:
x° = 59°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the trig relations. The one applicable here is ...
Tan = Opposite/Adjacent
tan(x°) = 5/3
x° = arctan(5/3) ≈ 59.04°
The value of x is about 59.
Mean
Vasquez read 5 books in January, 8 books in February,
4books in March, and 7 books in April. What is the
average number of books Vasquez reads per month?
Answers
Answer: six per month
Answer:
6
Step By Step Solution:
[tex]5 + 8 + 4 + 7 = x\\ 13 + 4 + 7 = x \\ 17 + 7 = 24 \\ x = 24 \\ 24 \div 4 = 6[/tex]
1
Note: Figure is not drawn to scale.
If h = 9 units and r = 6 units, then what is the volume of the cone shown above?
OA. 162 cubic units
ОВ.
1087 cubic units
C. 81 cubic units
OD. 324 cubic units
Reset
Submit
0 of 15 Answered
Session Timer: 0:25
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Answers
Answer:
108π
Step-by-step explanation:
1/3 × 9 × π × (6²)
1/3 × 9π6²
(1 × 9π6²) / 3
(6² × 9π) / 3
6² × 3π
36 × 3π
108π
Write down the inequality for x that is shown on this line.
0
1
2
3
4
5
6
7
8
Answers
Answer:
x > 3
Step-by-step explanation:
Here, we want to write the inequality represented
We start by looking at the value on which we have the circle
It is on the value 3
we can also see that the circle is unshaded and also that, the graph faces the right direction
As the circle
is unshaded, we have it that we only use the inequality without the equal to
So we have the representation as;
x > 3
find the area of the figure will give brain illest if correct!
Answers
Write an equation for when slope =-3 and y-intercept = 36
Answers
y=mx+b
m= slope
b=y-intercept
Therefore Y=-3x+36
A trapezoid is shown
What is the area of the trapezoid?
A)
21 m2
ing
B)
27 m2
O
34 m2
D)
42 m2
Answers
Answer:
what are the letters and numbers by the trapezoid i need them to solve it
Step-by-step explanation:
Answer:
answer 21 m2
Step-by-step explanation:
Area of a trapezoid
side a
5
parallel a,b
side b
9
height h
3
22 digit
area S
21
Is it true or false?
Answers
Answer:
false (this is what I believe)
Step-by-step explanation:
because participant 1 has 7 squares and he almost does the same as participant 2 and he only has 5 squares which means participant 2 I'd faster
Answer:
false (i think im not really good with math)
Step-by-step explanation:
a. What is the minimum value taken by the
expression (x – 4)2 + 6?
Answers
Answer:
2x-2
Step-by-step explanation:
Answer:
Minimum value = 6
Step-by-step explanation:
Can someone please answer?
Answers
Answer:
Volume = 803.84 cubic inches
Step-by-step explanation:
Volume = πr²h
= 3.14 x 8 x 8 x 4
= 3.14 x 256
= 803.84 cubic inches
Question 1
x2+ 1 = 9
Question 1 options:
x = 16
x = 20
x = 4
x = 5
Answers
Answer:
16 es la respuestas y ahora es asi
Answer:
X=4
Step-by-step explanation:
2x + 1 = 9
2x=9-1
2x=8
X=4
Monica deposits $300 into a savings account that pays a simple interest rate of %3.3. Paul deposits $400 into a savings account that pays a simple interest rate of %2.8. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Answers
Answer: The formula for calculating simple interest is given by :
S.I =
For Monica
S.I = 300 x 3.4 x 1 / 100
S.I = $10.2
For Paul
S.1 = 400 x 2.4 x 1 / 100
S.I = $9.6
Therefore : Monica earned more interest
Step-by-step explanation:
Reflect the point (2, -4) over y = x to become... a) (-4, 2) b) (-2, 4) c) (-2, -4) d) (2, 4)
Answers
5x-y<-6 and 3x-y>/4
Due tonight!!!
Answers
Answer:
1.
x<1/5y + -6/5
2.
x>1/3y + 4/3
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Answers
Answer:
I thinks it's the third one
A 30-ft ladder is placed against a building. The bottom of the ladder is 18 feet from the base of a building. How tall is the building?
Answers
Answer: 24 ft tall
Step-by-step explanation:
a^2+b^2+c^2
18^2+b^2=30^2 where b in this case is the height of the building
PLS HELP ASAP 4 BRAINLIEST
Answers
Answer:
The answer is A
Step-by-step explanation:
105+90=5x-70
195+70=5x-70+70
[tex] \frac{265}{5} = \frac{5x}{5} [/tex]
53=x and then when you insert to in the formula 5(53)-70 you get 195
and 105+90 is also equal to 195
Youre welcome!
Which measurement is the same length as 1 meter
Answers
Answer:
3 feet
Step-by-step explanation:
From the option available the measurement 1 meter is equal to 100 centimeters.
What is unit conversion?The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
given the measurement is 1 meter
1 meter is equal to 100 centimeters
From unit conversion:
1 meter is also equal to 3.2808 feet
1 meter is also equal to 39.3701 inch
1 meter is also equal to 1000 millimeters
1 meter is also equal to 1.093 yards.
Learn more about unit conversion here:
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Complete question:
Is it A B or C Help me
Answers
A= π•r^2
314=3.14•r^2
r^2=314/3.14
r^2=100
r= √100
r=10
d=2•r
d=2•10
d=20in
Answer is B
Alex goes to the store to buy groceries . He has $20 to spend at the store.
Write an inequality to repesent the amount Alex can spend.
Answers
Answer:
20 ≥ x
Step-by-step explanation:
Alex has $20 or less to spend at the store
if m< 3=3x+20 and m <6=x+50 , what is x?
Answers
Since you said they are supplementary, 3x+20+x+50=180
Since the definition of supplementary angles are they adds up to 180 degrees.
Now we just need to solve the equation
4x+70=180
4x=110
x=27.5
how to solve this problem 8(x + 5)
Answers
=8x+40
boom :)
Answer:
8x + 40
Step-by-step explanation:
Step 1: Expand by distributing terms.
8x+8x5
Step 2: Simplify 8x5 to 40 = 8x + 40
what is the side length of a square given the area to be 625m
Answers
Answer: 25 meters
Step-by-step explanation:
✓625 = 25
Answer:25
Step-by-step explanation:A square has equal length on all its sides, so the area of square is
Length x Length = 625
Which is
Length ^2 = 625
We want the number that when it times it’s self it’s 625
It can be done by square root of 625 which is 25. So the length of side is 25.
Or look at the prime factorization of 625 ( or just factors) and what number they can make up
Which is 5x5x5x5 = 625
They can make up
5^2 x 5^2 = 25 x 25 that is the “same” number
So the length is 25
Twenty-seven is % of 60.
Help tysm
Answers
Answer:
Step-by-step explanation:
So it’s 10
bc 27 is 45% of 60