Answer:
2√6cm
Step-by-step explanation:
Area = L×L
A=L2
24 =L2
√24 =√L2
2√6= L
:.L =2√6.cm.
Factor the polynomial expression x4 + 18x2 + 81 to determine missing terms
X^4+18x^2+81=( )^2+2( )x^2+ ( )^4
Answer:
Step-by-step explanation:
Explanation:
Use the extended form of the perfect square trinomial identity:
a4 + 2a2b2 + b4 = (a2 + b2)2.
a2 = x2 and b2 = 32
x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2
= (x2)2 + 2(32)x2 + (32)2
= (x2 + 32)2
= (x2 + 9)2
The missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial:
= x⁴ + 18x² + 81
Let u = x²
[tex]\rm =u^2+18u+81[/tex]
or
= (x²)² + 2(9)x² + (3²)²
= (u + 9)²
= (x² + 9)² or
= (x² + 9)(x² + 9)
Thus, the missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.
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if it is 9:38 what time would it be a half and hour later
Answer:
If it was 9:38 it would be 10:08
Step-by-step explanation:
Adding 30 to 38 would be 68. And since an hour is only 60 minuets long you would change the hour to 10 and add the 8 minuets.
Hope this helped! :))
If LN=54 and LM= 31, find MN
Answer:
If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.
Step-by-step explanation:
So...
54-31=23
What is the standard form polynomial representing the volume of this shipping container?
6x + 15
4x² + 3x
x² – 8
Answer:
Step-by-step explanation:
Volume of the shipping container = Lengt * Breadth * Height
Given
Length = 4x² + 3x
Breadth = x² – 8
Height = 6x +15
Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)
( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x
( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x
(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x
Collect like terms
( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x
Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x
Answer:
V = 24x^5+78x^4-147x^3-624x^2-360x
Using Linear Pairs to Find an Unknown Value
What is the value of x?
SEE
030
45
т
(3x)
55
70
R
O 60
W
Answer:
x=45
Step-by-step explanation:
I did it and got it right
add the following a2b - ab2 + 8ab and 2a2b - ab2
Answer:
3a^2b - 2ab^2 + 8ab
Step-by-step explanation:
just add the like terms
a^b + 2a^2b - ab^2 -ab^2 + 8ab
3a^2b - 2ab^2 + 8ab
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expressions are given below.
a²b - ab² + 8ab and 2a²b - ab²
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be given as,
⇒ a²b - ab² + 8ab + 2a²b - ab²
⇒ 3a²b - 2ab² + 8ab
The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.
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What is the equation of the line described below written in slope-intercept form? the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0
Answer:y = 1/2x-1
Step-by-step explanation:i got it correct
Answer:
y = - (1/2) x + 1
Aaron wants to make as many gluten-free, low-carb cupcakes as he can for a bake sale. His recipe for 12 such cupcakes requires ⅜ of a cup of cocoa. Assuming Aaron has enough of the remaining ingredients, which of the following is closest to the number of cupcakes that he could make if he has 2 cups of cocoa? A)10 B)30 C)60 D)100
Answer:
I believe it is C
Step-by-step explanation:
First, I decided to use the proportion method. (Before I use this method, let's change [tex]\frac{3}{8}[/tex] into a decimal. So, that will be 0.375.
We know that we can cross multiply in a proportion
[tex]\frac{0.375 cups}{12 cupcakes} = \frac{2cups}{x}[/tex]
0.375x = 24
x = 64
round to tens
60
The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
Now, it is given that,
12 such cupcakes requires ⅜ of a cup of cocoa
So ratio, cup of cocoa : cupcakes = ⅜ : 12
⇒ cup of cocoa / cupcakes = ⅜ / 12
Now, let x be the number of cupcakes that he could make if he has 2 cups of cocoa
So ratio,cups of cocoa : number of cupcakes = 2 : x
Hence,By proportionality we get,
cup of cocoa : cupcakes = cup of cocoa : cupcakes
⅜ : 12 = 2 : x
⅜ / 12 = 2 / x
⇒ 0.375/12 = 2 / x
⇒ x = (2x12)/0.375
⇒ x = 24/0.375
⇒ x = 64
hence it is closest to the number 60.
So,The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.
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Find the slope of the following lin
y = 4x
Gradient = slope
Gradient = 4
Shawn is packing these two boxes with food collected during his schools canned food drive. which expression represents the total volume of the two boxes?
Answer:
27x^3+48x^2-99x
Step-by-step explanation:
The total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
Two rectangular box are shown in the picture.
The volume of the rectangular box = length×width×height
The total volume of the two boxes = (x+3)(x+5)3x + 2x(3x+9)(4x-8)
After simplification:
= 3x³ + 24x² + 45x + 24x³ + 24x² - 144x
= 27x³ + 48x² - 99x
Thus, the total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.
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bruh what is (-4×-6)-4²
Answer:
8
Step-by-step explanation:
the anwser is you use the formal
solve for the equation 4x+5=9
Answer:
1
Step-by-step explanation:
Three to the 4th power
24x27= Will give brainless
Answer:
648
Step-by-step explanation:
here u go
Answer:
648
Step-by-step explanation:
24 x 27 = 648
find the length and breadth of a rectangular plot whose area is 660square metre and perimeter is 104metre
Answer:
Step-by-step explanation:
let length=l
breadth=b
l×b=660
2(l+b)=104
l+b=104/2=52
b=52-l
l×(52-l)=660
52l-l²=660
l²-52l+660=0
l²-22l-30l+660=0
l(l-22)-30(l-22)=0
(l-22)(l-30)=0
l=22,30
when l=22,b=52-22=30
when l=30,b=52-30=22
l>b
so l=30m
b=22m
Answer:
W = 22 m
L = 30 m
Step-by-step explanation:
given:
area is 660square metre and perimeter is 104metre
find:
the length and breadth of a rectangular plot
----------------------------------------------------------------
1. area of rectangle (A) = L x W
2. Perimeter of a rectangle (P) = 2L + 2W
where:
A = 660 m²
P = 104 m
solve for L using formula 1.
A = L x W
660 = L x W
L = 660 / W
solve W using formula 2 and use L = 660 / W
P = 2L + 2W
104 = 2 (660) + 2W
W
104W = 1320 + 2 W²
-2W² + 104W = 1320
solve W using quadratic equation:
W = 22 m; ( 30 m = L)
plugin W=22 into L = 660 / W to solve L:
L = 660 / 22
L = 30 m
vince has 1/2 ton of gravel to spread equally in 8 square yards for his driveway. How many tons of gravel will be spread in each square yard?
Answer:
It would be 125 spread in each square yard.
Step-by-step explanation:
Please i need help thank you
which diagram (s)show adjacent angles
if the measure of an angle is 44 degrees , then the angle is acute which is true the converse the inverse the contrapositive none of these
HELP PLEASE!!!!!!!!!!!
A 175-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
Answer:
35
Step-by-step explanation:
A rectangular rug has
perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width
of the rug.
Answer:
length= 84
width= 36
Which expression could be used to represent a 45% increase? (Question 9)
Answer:
Options (A) and (B)
Step-by-step explanation:
Question (9)
Let a number = x
45% increase in the given number will be = x + (45% of x)
= x + [tex]\frac{45x}{100}[/tex]
= x + 0.45x
= x(1 + 0.45)
= 1.45x
Therefore, there will be the two expressions,
A). 1.45x
B). x + 0.45x
Options (A) and (B) will be the correct options.
-24-8p=4p
help please
Answer:
-2 = p
Step-by-step explanation:
-24-8p=4p
Add 8p to each side
-24-8p+8p=4p+8p
-24 = 12p
Divide each side by 12
-24/12 = 12p/12
-2 = p
0.5s +1=7 + 4.5s
S =
Answer:
[tex]s = -\frac{3}{2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]s[/tex] :
[tex]0.5s + 1 = 7 + 4.5s[/tex]
-Combine both [tex]0.5s[/tex] and [tex]4.5s[/tex] by subtracting [tex]0.5s[/tex] by [tex]4.5s[/tex] :
[tex]0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s[/tex]
[tex]-4s + 1 = 7[/tex]
-Subtract [tex]1[/tex] to both sides:
[tex]-4s + 1 - 1 = 7 - 1[/tex]
[tex]-4s = 6[/tex]
-Divide both sides by [tex]-4[/tex] :
[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]
[tex]s = -\frac{3}{2}[/tex]
So, the value of [tex]s[/tex] is [tex]-\frac{3}{2}[/tex].
What is 1.4 as a fraction in simplest form explain the steps!
Answer:
7/5
Step-by-step explanation:
What is 1.4 in fraction form? 7/5 is the fraction form of 1.4. 1.4 as a Fraction in simplest form to convert 1.4 to a fraction and simplify to the lowest form.
------------
14/10 = 1.4
7 is half of 14
5 is half of 10
The simplest form of given number is [tex]\frac{7}{5} [/tex].
Given number is, 1.4
Converted into fraction, [tex]=\frac{14}{10} [/tex]
It is observed that, 2 is common in both numerator and denominator.
[tex]\frac{14}{10} =\frac{2*7}{2*5}=\frac{7}{5} [/tex]
Hence, The simplest form of given number is [tex]\frac{7}{5} [/tex].
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20 lbs of bananas cost $100. How many lbs of bananas can you get with $85 ?
Answer:
$17
Step-by-step explanation:
Step 1:
20 : 100 = x : 85
Step 2:
100x = 1700
Answer:
x = 17
Hope This Helps :)
Answer:
$100= 20lbs
$1= (20/100)lbs
$85= 85*(20/100)lbs
= 85(1/5)lbs
= 17 lbs
8^10 ÷ 8^5 = 8^2 true false
Answer: I think the answer is false
Answer:
the correct answer is true
Step-by-step explanation:
Of the 50 states in the United States, 14 have an Atlantic Ocean coastline and 5 have a Pacific Ocean coastline. What fraction of U.S. states have neither an Atlantic Ocean nor Pacific Ocean coastline?
Answer:
[tex]\frac{31}{50}[/tex]
Step-by-step explanation:
First, find how many have an Atlantic or Pacific coastline:
14 + 5
= 19
Then, subtract this from 50:
50 - 19
= 31
This means 31 out of the 50 states have neither coastlines:
This is [tex]\frac{31}{50}[/tex] as a fraction
Solve -5< 4x +3 < 7.
The second “<“ has a line under it. Please help! This is on APEX.
Answer:
C -2 < x ≤ 1
Step-by-step explanation:
-5< 4x +3 ≤ 7
Subtract 3 from all sides
-5-3< 4x +3-3 ≤ 7-3
-8< 4x ≤ 4
Divide all sides by 4
-8/4< 4x/4 ≤ 4/4
-2 < x ≤ 1
is 6>x a open or closed dot
Answer:
It will be an open dot.
Step-by-step explanation:
By math textbook states that if a symbol is greater than or less than, it has an open dot.
If it has greater than or less than symbol with a line under it, that means it is a closed dot.
Hope this helps!