Perfect square formula/rules:
[tex]a^2+2ab+b^2=(a+b)^2[/tex][tex]a^2-2ab+b^2=(a-b)^2[/tex]Trinomials are often organized like [tex]ax^2+bx+c[/tex].
The b value in this case is c, and it will always equal the square of half of the b value.
Perfect square trinomial: [tex]ax^2+bx+(\dfrac{b}{2})^2[/tex]or [tex]ax^2-bx+(\dfrac{b}{2})^2[/tex]Solving the QuestionWe're given:
[tex]c^2-4c[/tex]In a trinomial, we're given the [tex]ax^2[/tex] and [tex]bx[/tex] values. a in this case is 1 and b in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:
4 ÷ 2 = 22² = 4Therefore, the term that we can add is + 4.
[tex]c^2-4c+4[/tex]
To write this as the square of a bracketed expression, we can follow the rule [tex]a^2-2ab+b^2=(a-b)^2[/tex]:
[tex](c-2)^2[/tex]
Answer[tex]c^2-4c+4[/tex]
[tex](c-2)^2[/tex]
Suppose you roll two number cubes. What is the probability of getting:
a. exactly one cube showing an even number?
b. at least one cube showing an even number?
c. two values that have a sum of at least 7?
Answer:
are a, b, and c the options or are they different questions?
What is the value of x?
29
12
7.3
25.2
Answer:
25.2
Step-by-step explanation:
Secant-Tangent Formula:
(whole secant) x (external part) = (tangent)^2
(41+12) * 12 = x^2
( 53) * 12 = x^2
636= x^2
Taking the square root of each side
sqrt(636) = x
25.2=x
Answer:
25.2
Step-by-step explanation:
This is an intersection of a tangent and a secant.
Which set of ordered pairs represents the points on this graph?
A. {(-2, -3), (-1, 5), (1, 3), (2, 5), (3, -2)}
B. {(-3, -2), (-1, 4), (1, 3), (2, 5), (3, -2)}
C. {(-2, -3), (-1, 4), (3, 1), (2, 5), (-2, 3)}
D. {(-2, -3), (-1, 4), (1, 3), (2, 5), (3, -2)}
Answer:
option D
Explanation:
To know the x coordinates see the value on the x-axis.To know the y coordinates see the value on the y-axis.Identify coordinates from the graph:
a) (3, -2)
b) (-2, -3)
c) (1, 3)
d) (2, 5)
e) (-1, 4)
All of these coordinates fall under option D
Answer:
D
Step-by-step explanation:
Let's find the coordinates of the plotted points (from left to right) :
Point 1 (x = -2, y = -3) ⇒ (-2, -3)Point 2 (x = -1, y = 4) ⇒ (-1, 4)Point 3 (x = 1, y = 3) ⇒ (1, 3)Point 4 (x = 2, y = 5) ⇒ (2, 5)Point 5 (x = 3, y = -2) ⇒ (3, -2)The listed points are given in option D
Find the perimeter of the parallelogram whose vertices are A (-1,1), B (-9,6), C(-12,11) and D(-4,6) Give your answer correct to one decimal place
Answer: 30.5
Step-by-step explanation:
Gold can undergo transmutation. superscript 185 subscript 79 baseline upper a u right arrow superscript 181 subscript 77 baseline upper i r superscript 4 subscript 2 baseline upper h e this type of nuclear decay is called .
The type of Nuclear decay that is described where Gold undergoes transmutation is given as 185/79 Au → 181/77 Ir + 4/2 He, it is called Alpha Decay.
What are the characteristics of Alpha Decay?An Alpha Decay can be described as a form of radioactive or Nuclear decay where the atomic nucleus releases an alpha particle (also known as Helium Nucleus).
It then converts into a nucleus that is atomic with an atomic number of two and a mass number of four.
Alpha Decay is usually trigged for two key reasons:
An unstable nucleus; andexcessive protons.Learn more about Alpha Decay at:
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PLEASE HELP ME WITH THIS QUESTION
Answer:
75582
Step-by-step explanation:
The order of the correct problems does not matter, so the number of ways 8 of 19 problems can be correct is the number of combinations of 19 things taken 8 at a time:
C(n, k) = n!/(k!(n-k)!)
C(19, 8) = 19!/(8!(11!)) = 75582
I need some help answering this
Answer:
d
Step-by-step explanation:
sin angle (60) would have been equal to 0.5 or a 1/2
and cos angle(60) would have been equal to 0.86 then you'll say square by 3 over 2
Let me know if this answer can work
Best of Luck
How do I solve x - 6 1/2 = 3 2/3
Pls explain ur answer and how I can improve I’m having math finals
Answer:
10 1/6
Step-by-step explanation:
First, you need to turn all the mixed numbers into improper fractions. You do this by multiplying the whole number by the denominator, adding the numerator, and then putting that number over the denominator.
So, 6 1/2 would become (6(2) + 1)/2 = 13/2. And 3 2/3 would become (3(3) + 2)/3 = 11/3.
Then, you can rewrite your equation using the improper fractions:
x - 13/2 = 11/3
Then, add 13/2 to both sides since it is being subtracted:
x = 13/2 + 11/3
Add the fractions by multiplying the denominators of each by the fraction of the other:
3(13/2) = 39/6
2(11/3) = 22/6
Add the fractions:
39/6 + 22/6 = 61/6
Simplify the fraction:
10 1/6
Answer:
10 1/6 or [tex]10\frac{1}{6}[/tex]
Step-by-step explanation:
The BEST, BASIC, FAST trick to find x in these situtations
If you have to find x in a question which is having Subtraction, then you add what number was being subtracted or what was subtracting the x or variable with the ending result. If you're doing addition, then you do subtraction in the same way.
Multiplication -> Division
Divisioin -> Multiplication
these 2 also in the same way!
Why do to do this?
Because when we will add that number with the final result, then we will get what is x, since x-that number = the last number. Try to understand, it's pretty hard to explain.
Now, solving the problem!
[tex]6\frac{1}{2} +3\frac{2}{3} =\\\\6\frac{3}{6} +3\frac{4}{6} =\\\\10\frac{1}{6}[/tex]
So your answer is 10 1/6 or [tex]10\frac{1}{6}[/tex]
Thanks!
I hope I could help!
:D
What is the range of this data set? {37, 38, 44, 32, 40, 33, 29, 33, 36}
15
29
33
36
Answer:
Range is 15
Step-by-step explanation:
1. Organize from least to graetest:
29, 32, 33, 33, 36, 37, 38, 40, 44
2. Find the largest and the smallest numer:
29 and 44
3. Subtract:
44
-29
=15
Answer:
its 15
Step-by-step explanation:
i just need da points
Anyone know the value of x for these
Answer:
#3 : x = 12
#4 : x = 6
Step-by-step explanation:
Question 3:-
x^2 = 8(8+10)x^2 = 8(18)√(x^2) = √(144)x = 12Question 4:-
4(4+x)5(5+3)16+4x = 404x = 40-164x = 24x = 6
Find the nth term of the following sequence:
5, 20, 45, 80, 125
Answer:
So, 5, 20, 45, 80,...5N2
Step-by-step explanation:
Divide the sequence by 5 and the answer becomes very obvious:
EX: 1, 4, 9, 16,...N2
Simplify 2y + 1. + 5y +4
3y. 3y
Answer:
43y2+3 + 7y + 1
Step-by-step explanation:
Pls help me?!? The Punta Birds Taxi Association is a business that provides taxi services to the city of Punta Birds and surrounding communities. Last year, their gross income totaled $25,000. They are required to pay 1.75% business tax on their annual gross income. How much tax are they required to pay to the Government?
Answer:
$437.50
Step-by-step explanation:
The amount of tax is found by multiplying the tax rate by the amount being taxed.
__
0.0175 × $25,000 = $437.50
They are required to pay a business tax of $437.50.
The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance.
The time that is taken for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds
Calculations and Parameters:Given that this is a cosine equation,
At maximum, Cos (0) =1
At minimum, Cos (π) = -1.
Hence,
At the maximum:
8π/5 t = 0t = 0At the minimum:
8π/5 t = πt = 5/8t = 0.625Given that the time taken from max to min is 0.625 and also to min to max is also 0.625,
The total time taken would be:
0.625 + 0.625 = 1.25s
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A catalog with 625 pages has 6 pages with tables.
What percent of the pages have tables?
0.16%
0.96%
1.28%
1.92%
Answer:
0.96%
Step-by-step explanation:
We are looking for the percent that represents "6 out of 625"
Divide to find the decimal answer:
6/625 means
6 ÷ 625
= 0.0096
Then multiply by 100 to change to a percent.
0.0096 × 100
= 0.96%
Anthony wants to find out the percentage of students at his school who are vegetarians. Which of the following is the most representative group of students for him to surve
A. 50 students at a icecream parlor
B. 5 students at a icecream parlor
C. 50 students at a hamburger restaurant
D. 5 students at a hamburger restaurant
Answer:
I think c
Step-by-step explanation:
i might be wrong so dont trust my answer but i would've picked C
4√18 using Prime Factorization
For the given number is 4√18 .The Prime factorization would be 4√18 = 2 x 2 x √2 x √3 x √3.
What is prime factorization?Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.
Those composing integers are called factors of that considered integers.
Prime factorization is when all those factors are prime numbers.
Thus, prime factorization expresses an integer in terms of multiples of prime numbers.
Prime factorization is unique for each integer.
For the given number is 4√18
Prime factorization
4√18 = 2 x 2 x √2 x √3 x √3
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I need help please. It will really help me
Answer:
x = 15
∠AOB = 15°
∠BOC = 165°
Step-by-step explanation:
Angles on a straight line add up to 180°
[tex]\sf \implies \angle AOB + \angle BOC=180[/tex]
Substitute the given expressions for the angles:
[tex]\sf \implies (2x - 15) + 11x = 180[/tex]
Collect and combine like terms:
[tex]\sf \implies 2x +11x- 15=180[/tex]
[tex]\sf \implies 13x- 15=180[/tex]
Add 15 to both sides:
[tex]\sf \implies 13x- 15+15=180+15[/tex]
[tex]\sf \implies 13x=195[/tex]
Divide both sides by 13:
[tex]\sf \implies \dfrac{13x}{13}=\dfrac{195}{13}[/tex]
[tex]\sf \implies x=15[/tex]
Now substitute the found value of x into the expressions for each angle:
[tex]\sf \implies \angle AOB =2(15)-15=15^{\circ}[/tex]
[tex]\sf \implies \angle BOC =11(15)=165^{\circ}[/tex]
What is the area of a triangle if the height is 9 and base is 11?
Answer:
49.5
Step-by-step explanation:
you multiply the height and base then divide that awnser by 2
A side of the triangle below has been extended to form an exterior angle of 141°. Find
the value of x.
HELPPPPP this is 7TH grade math and I’m confused
Answer:
35 minutes
Step-by-step explanation:
The total time he walked for last week is
10 * 5 = 50 minutes
Subtract 225 by 50 to find the total time he spend for swimming
225-50 = 175 minutes
Divide 175 by 5 to find the time taken for swimming on each day
175/5 = 35 minutes
Calculate the length of a diagonal of a square with side each 7cm long
Answer:
[tex]7\sqrt{2} \ cm[/tex]
Step-by-step explanation:
Formula ………………………………………………
The length of a diagonal of a square with side of length “a” is :
[tex]a\sqrt{2}[/tex]
======================================================
Since a = 7 (in our case) then
[tex]\text{the length of the diagonal} =7\sqrt{2}[/tex]
Note : you can also use the Pythagorean theorem.
Ming made 7 batches of muffins. She used 1.75 pounds of apples per batch. How many pounds of apples did Ming use to make all the muffins? 11.5 pounds 12.25 pounds 9 pounds 4 pounds
Answer:
12.25
Step-by-step explanation:
Multiply the pounds of apples by the batches.
1.75×7=12.25
demi had $170 in her bank account at the beginning of the month and $125 at the end of the month.
Each time she eats lunch in the cafeteria, $5 is deducted from her account.
How many times, x, did Demi eat lunch in the cafeteria this month? (No other deductions or deposits were made
please help me on this
Answer:
it is the answer on the top
i can not figure this question out someone help pls.
Answer:
228,5
Step-by-step explanation:
a=10
b=15
The area of rectangle:
S=a*b
S=10*15
S=150
The area of 2 halfcircles (1 circle):
d=10
r=d:2
r=5
S=πr²
S=3,14*5²
S=3,14*25
S=78,5
The area of the figure:
78,5+150=228,5
40 points!!! Triangle ABC is transformed to create Triangle A’B’C’, what type of rigid transformation is this?
Answer:
Reflection
Explanation:
This is a reflection because A B and C and A' B' C' are at the same points in their quadrants. A' B' C' is flipped over the X-Axis
Answer:
reflection about the x -axis
Step-by-step explanation:
Mirror line is the x-axis for this translation
what is 2.25 x 9 i cant find it loololllooll
Answer:
20.25
Step-by-step explanation:
Answer: [tex]9[/tex] [tex]is[/tex] [tex]your[/tex] [tex]answer :)[/tex]
Step-by-step explanation:
Write the problem as a mathematical expression.
2.25 x 9
The degree is the largest exponent on the variable.
9
Your answer should be (9)
Write a formula for function h in terms of function f.
Answer:
h(x) = f(x - 12) - 4
Step-by-step explanation:
y = f(x) (-6, 11)
⬇️ ⬇️
y - h(x) (6, 7)
so h(x) = f(x - 12) - 4
Hope this helps and have a nice day
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