[tex]2 {ab}^{2} + {8a}^{2} b[/tex]
solution:[tex]2ab(b + 4a)[/tex]
to factorise first, find the highest common factor of each of the terms in the expression then, write the highest common factor (HCF) in front of any brackets atlast, fill in each term in the brackets by multiplying out.
The value of the expression after factorization will be;
⇒ 2ab (b + 4a)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 2ab² + 8a²b
Now,
Factorize the expression as;
⇒ 2ab² + 8a²b
⇒ 2ab × b + 2×2×2a×a×b
⇒ 2ab (b + 4a)
Thus, The value of the expression after factorization will be;
⇒ 2ab (b + 4a)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?
alternate interior angles theorem
alternate exterior angles theorem
converse alternate interior angles theorem
converse alternate exterior angles theorem
Answer: converse alternate exterior angles theorem
Step-by-step explanation:
-6719+2376
Show how you worked it out
Answer:
-4343
Step-by-step explanation:
-6719
+2376
-----------
-4343
Sharon buys a bracelet for $12 plus a 6% tax. What is the total cost for Sharon?
Help me please this is due in 30 mins!
The perimeter of a square is 68 feet. What is the length of one of its sides? Explain your work.
Answer:
17 feet
Step-by-step explanation:
Since a square has 4 sides, you have to do 68 / 4 to find one of the sides.
68/4 = 17
And to check, if you add up all sides...
17+17+17+17 = 68
What is the greatest common factor of 12xy^5 + 60x^4y^2 – 24x^3y^3??
О6xy^2
о6xy^5
o12xy^2
o3x^4y^5
Answer:
The greatest common factor of 12xy^5 + 60x^4y^2 – 24x^3y^3 is 12xy²
using law of indices
Answer:
1
Step-by-step explanation:
There are a couple of identities that come into play here:
a³ -b³ = (a -b)(a² +ab +b²)
(x^a)/(x^b) = x^(a-b)
(x^a)^b = x^(ab)
(x^a)(x^b) = x^(a+b)
_____
These mean we can simplify the expression as follows.
[tex]\left(\dfrac{x^{a}}{x^{b}}\right)^{a^2+ab+b^2}\times\left(\dfrac{x^{b}}{x^{c}}\right)^{b^2+bc+c^2}\times\left(\dfrac{x^{c}}{x^{a}}\right)^{c^2+ca+a^2}\\\\=x^{(a-b)(a^2+ab+b^2)}\times x^{(b-c)(b^2+bc+c^2)}\times x^{(c-a)(c^2+ca+a^2)}\\\\=x^{a^3-b^3}\times x^{b^3-c^3}\times x^{c^3-a^3}=x^{(a^3+b^3+c^3)-(a^3+b^3+c^3)}\\\\=x^0=\boxed{1}[/tex]
The expression has a value of 1.
__
Additional comment
For certain values of x and the exponents, the individual factors may exceed the ability of a calculator to express the value. That is, an attempt at numerical evaluation of this may produce a result different from 1. In any event, the expression is undefined for x=0.
answeeerrrr ill give brainiest
The measure of angles are opposite angles where ∠2 = 37°'
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the two intersecting lines be m and n
where the measure of ∠4 = 37°
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
So , the measure of ∠2 = ∠4
On simplifying , we get
The measure of angle ∠2 = 37°
Hence , the angle is ∠2 = 37°
To learn more about angles formed by intersecting lines click :
https://brainly.com/question/16315358
#SPJ7
Based on the figure, which of the following statements
CANNOT be proven?
Answer:
the final one
Step-by-step explanation:
to figure this equation out it is easier to add numbers to the angles
for 1 we can have it as 100 and for 2 we can have it as 80
that means 3 is 100 and 4 is 80
100 - 80 is also 100 - 80 so the first one can be proven
100 + 80 = 180 so the second one can be proven
80 = 80 so the third one can be proven
80 + 80 = 100 + 100 is not correct because it turns into 160 = 200 which is incorrect so the last one cannot be proven
Answer:
4th option : m∠1 + m∠3 = m∠2 + m∠4Step-by-step explanation:
By VOA theorem, vertically opposite angles are equal.
∠1 = ∠3∠2 = ∠4⇒ You can write : ∠1 + ∠2 = ∠3 + ∠4
⇒ or ∠4 - ∠1 = ∠3 - ∠2
⇒ The 4th option does not give it correctly
nidarians include all of the following EXCEPT:
A. snails
B. jellyfish
C. sea anemone
answer this for 25 points and brainliest
Answer:
B
Step-by-step explanation:
For percentage, you take the percent symbol and move it two spaces to the left and make it a decimal, hence the .32 and then you multiply it by the integer you want to find the percent of, 130.
Answer:
0.32 x 130
Step-by-step explanation:
A percentage is out of 100;
32% = 32/100
32/100 = 0.32
32% of 130 is a multiplication problem (of : multiplication).
0.32 x 130 = 41.6
What is the measure of ∠E, rounded to the nearest degree?
28°
36°
54°
80°
Answer:
```30.
<30`
<98
<`36ok this is your answer....
Find five rational numbers between -3/5 and 5/3
Answer:
-8/15, -2/15, 1/5, 4/15 and 2/3.
Step-by-step explanation:
-3/5 = -9/15 and 5/3 = 25/15
So 5 rational numbers between these 2 values
= -8/15, -2/15, 3/15, 4/15 and 10/15
= -8/15, -2/15, 1/5, 4/15 and 2/3.
what will you divide by 1/2 to get 2?
Answer:
0.25
Step-by-step explanation:
1/2 divided by 0.25 gives you 2. If you want approval do it on a calculator.
Hey there!
EQUATION: 1/2 ÷ x = 2
REWRITE: 1/2x = 2
MUTLTPLY 2x to BOTH SIDES
1/2x * 2x = 2 * 2x
SIMPLIFY IT!
1 = 4x
4x = 1
DIVIDE 4 to BOTH SIDES
4x/4 = 1/4
SIMPLIFY IT!
x = 1/4
Therefore, your answer is: 1/4
Good luck on assignment & enjoy your day!
~Amphitrite1040:)
4. Prove that the two figures in the graph below are similar.
PLSSSSSSSSS I REALLY NEED HELP DO I PUT A RAY HERE
Bob is solving the following linear equation. 17 - 4x - 4= - 10x + 13 + 6x His final two steps are: : 13- 4x = - 4x + 13 = 13= 13 Select the statement that correctly interprets Bob's solution. A The solution is x = 0. ® The solution is the ordered pair (13, 13). © There is no solution since 13 = 13 is a true statement. © There are infinitely many solutions since 13 = 13 is a true statement.
The equation 17 - 4x - 4= - 10x + 13 + 6x is a linear equation
The true statement about Bob's solution is (d) There are infinitely many solutions since 13 = 13 is a true statement.
How to determine the true statement?The equation and the steps are given as:
17 - 4x - 4= - 10x + 13 + 6x
13 - 4x = -4x + 13
13 = 13
The final step where both sides of the equation are represented by the constant value 13 means that:
The equation has infinitely many solutions
Hence, the true statement about Bob's solution is (d) There are infinitely many solutions since 13 = 13 is a true statement.
Read more about linear equations at:
https://brainly.com/question/14323743
Christopher determines the system of s(x) and t(x) has only one solution.Which system is Christopher solving?
Christopher is solving a system of equations that has one solution and can be seen in Option C.
What is a system of equations?A system of equations is more than one equation that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.
A quadratic equation is an algebraic equation whose power is raised to the second degree.
However, if their power is not in one degree, they are regarded as a quadratic equation and it usually produces two solutions.
From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.
Learn more about systems of equations here;
https://brainly.com/question/14323743
What statistical technique should be used when testing for differences in the number of athletes and non-athletes in a college population
Answer:Chi-square is a nonparametric statistical procedure for nominal data.
Step-by-step explanation:
Use x = 2 to identify the value of each expression.
Exponent Value of expression
25
32
82
16
64
Answer:
25/2 = 12.5 32/2= 16 82/2= 41 16/2=8 64/2= 32
Step-by-step explanation:
If corect please give branlieist
Hello, I need help with sample dpace
Answer:1/2 problability for both odd and same for evens.1/8 chance of spinning a 3 .25% chance of a 4 or 6.one eight of a chance of spinning a 7 or 1.part 2. a is false because the chance of spinning and odd is 50% and their is 3 numbers less than 4 .4 numbers would be a 50% chance to buts its not.b is true because he has a chance of spinning any number i think.c is true because there are 4 odd numers and 2 and 4 is half of 4
Step-by-step explanation:
Solve -6x + 18 > -30
A. x < 2
B. x < 8
C. x > 8
D. x > 2
Answer: x < 8
P/s: if -1.x > -a => x < -a/-1
Ok done. Thank to me >:3
[tex] - 6x \: + \: 18 \: > \: - 30[/tex]
We move the term "+18" to clear the unknown of the inequality.[tex] - 6x \: > \: - 30 \: - \: 18[/tex]
We calculate the remainder.[tex] - 6x \: > \: - 48[/tex]
We divide both sides of the inequality by "-6" to solve for the unknown.[tex] \boxed{x \: < \: 8}[/tex]
Answer:[tex] \text{D.} \: \boxed{ \bold{x \: < \: 8}}[/tex]
MissSpanishPls help answer 16,15,17
Answer:
1#
3
2#
6
3#
9
4#
12
5#
15
Step-by-step explanation:
Find the product: seven multiplied by ten fourteenths Leave your answer as an improper fraction.
seventy fourteenths
seventeen fourteenths
seventeen twenty ones
seventy twenty ones
Answer:
seventy fourteenths
Step-by-step explanation:
seven = 7
ten fourteenth = 10 fourteenth
one-fourteenth = 1/14, so ten fourteenths = 10/14
7 * 10/14
when multiplying two numbers, multiply the numerators and denominators together separately to get your new numerator and denominator
7 = 7/1 as anything divided by 1 equals itself
7 * 10/14 = 7/1 * 10/14 = (7*10) / (1*14) = 70/14 = seventy fourteenths
company
assumes each car in their fleet depreciates by
7% per year. If the initial value of a car is
$37,300.00, in how many years will the value
depreciate to $25,949.18?
Answer: 5 years
Step-by-step explanation:
A= P(1-r)^t
A= Depreciation value
P = Initial amount
r= rate = 7/100= 0.07
t= time
t= (Ln(A/P))/Ln(1-r)
= (Ln(25949.18/37300))/Ln(1-0.07)
t= 4.999 approximately 5 years
Quantitative or qualitative
help pls I need this ASAP
Answer:
1. Quantitative data
2. Quantitative data
3. Qualitative data
4. Qualitative data
5. Quantitative data
6. Qualitative data
7. Quantitative data
8. Qualitative data
9. Quantitative data
10. Quantitative data
Step-by-step explanation:
Qualitative data usually answers the question "what kind". Quantitative data answers the question "how many" (or "how much" ).
Answer:
quantitative or qualitative
4c-5=2c-9
I can’t solve this
Answer:
-2
Step-by-step explanation:
4c-5=2c-9
2c= -4
c= -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{SOLVING FOR THE C-VALUE}\downarrow[/tex]
[tex]\mathsf{4c - 5 = 2c - 9}[/tex]
[tex]\large\text{SUBTRACT 2c to BOTH SIDES}[/tex]
[tex]\mathsf{4c - 5 - \bold{2c} = 2c - 9 - \bf 2c}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{ 2c - 5= -9}[/tex]
[tex]\large\text{ADD 5 to BOTH SIDES}[/tex]
[tex]\mathsf{ 2c - 5 + \bold{5} = -9 + \bf 5}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{2c = -4}[/tex]
[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2c}{\bf 2} = \dfrac{-4}{\bf 2}}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{c = -2}[/tex]
[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{c = -2}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
GIVE AWAY PLEASE TAKE IT
Answer:
I guess, as long as this is an act of kindness. Thanks?
Answer:
x=7
Step-by-step explanation:
Solution of your latest question
because i can't get any answer option there ....so posting it heree .....
hope you get it before it got deleted
2.) If ZA = (20 – 2m)º and ZD = (m – 130°, what is the value of m?
Answer:
m = 50
Step-by-step explanation:
∠ D and ∠ A are vertically opposite angles and are congruent , then
m - 130 = 20 - 2m ( add 2m to both sides )
3m - 130 = 20 ( add 130 to both sides )
3m = 150 ( divide both sides by 3 )
m = 50
2(4y-9)=14 solve for y
Answer:
y = 4
Step-by-step explanation:
2(4y - 9) = 14
8y - 18 = 14
8y = 32
y = 4
Answer:
y = 4
Step-by-step explanation:
Simplifying
2[4y + -9] = 14
Reorder the terms:
2[-9 + 4y] = 14
[-9 * 2 + 4y * 2] = 14
[-18 + 8y] = 14
Solving
-18 + 8y = 14
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + 8y = 14 + 18
Combine like terms: -18 + 18 = 0
0 + 8y = 14 + 18
8y = 14 + 18
Combine like terms: 14 + 18 = 32
8y = 32
Divide each side by '8'.
y = 4
The circumference of a circle is 19π cm. Find its diameter, in centimeters.
Answer:
d = 19 cm
Step-by-step explanation:
Circumference of circle = πd
πd = 19π
d = 19π ÷ π
d = 19 cm
d=19 cm
Solution:Circumference=C=πdπ=3.14d= diameterWe are given the circumference, in terms of pi:C=19πC=πdTherefore, the diameter is equivalent to 19.Hope it helps.
Do comment if you have any query.