Answer:
[tex] = ( {x}^{a} - {3y}^{2b} ) \times ( {x}^{2a} + {3x}^{a} {y}^{2b} + {9y}^{4b} )[/tex]
Step-by-step explanation:
[tex] {x}^{3a} - 27 {y}^{6b} [/tex]
[tex]( {x}^{a} {)}^{3} - {3}^{3} \times ( {y}^{2b} {)}^{3} [/tex]
[tex]( {x}^{a} {)}^{3} - (3 {y}^{2b} {)}^{3} [/tex]
[tex]( {x}^{a} - {3y}^{2b} ) \times (( {x}^{a} {)}^{2} + {x}^{a} \times {3y}^{2b} + ( {3y}^{2b} {)}^{2} )[/tex]
[tex] \boxed{\green{= ( {x}^{a} - {3y}^{2b} ) \times ( {x}^{2a} + {3x}^{a} {y}^{2b} + {9y}^{4b})}} [/tex]
What is an equation of the line that passes through the point (4,-3)(4,−3) and is perpendicular to the line 4x+y=34x+y=3?
Step-by-step explanation:
Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
4x+ y= 3
y= -4x + 3
slope = -4
the new slope = 1/4
the equation formula y= mx+b
m = new slope
y = (x/4) + b
From the point given (4,-3)
y = -3. x = 4
-3 = 1 + b
b = -4
the equation =
[tex]y = \frac{1}{4} x - 4[/tex]
is this correct. if not what is correct answer
Answer:
Should be
Step-by-step explanation:
hope it helps
Dimitri is a dog breeder, recently one of his dogs gave birth to 4 puppies. What is the probability that there are no females in the litter?
Answer:
1/16
Step-by-step explanation:
1/2×1/2×1/2×1/2...............
Which expression is equivalent to (3^5x^2)4
Answer:
4
Step-by-step explanation:
I need help please and thank you
9514 1404 393
Answer:
C.
Step-by-step explanation:
The transformation ...
g(x) = f(ax)
represents a horizontal compression of the graph by a factor of 'a'. Here, the original function graph is compressed by a factor of 3 horizontally, so the curve will look a lot narrower.
The appropriate choice is C.
Determine if the lines are parallel, perpendicular, neither or the same line: y = -2x + 1 and 2x + y = 5.
Step-by-step explanation:
They are parallel.
Parallel lines have the same slope.
for the line y = -2x + 1 the slope is -2 and when we put the line 2x + y = 5 in general equation it will be y = -2x + 5, and it's slope is also -2.
Therefore, the lines are parallel
this is easy i’m just a a hurry please help me!
Answer:-13/3
Step-by-step explanation:
-26/6=6x/6
x=-13/3
Find the smallest value of k such that 54k is a perfect square.
Answer: 6
Step-by-step explanation:
From the prime factorization of 54 you get:
54 = 2×3×3×3
So ,
You can write it as,
54 = 2×3^2×3,
Make sure all of the factors are in square form, so we add a another 2 and a three to the factors to make them all in square form
You get
=2×3^2×3×2×3 (the last 2×3 is added because one 2 and 3 were not having another pair so they were added to make them squares)
So k is basically 2×3 which is 6
And 54×6 gives us 324, which is a perfect square.
the one above me is right
please help me! how much times can 23 go into 1,624 please tell me the quotation and remainder!!:)
Answer:
Quotient= 70
Remainder=14
Step-by-step explanation:
Do you need explanation?
Answer:
23 goes into 1,624 70 times
I need help with #53 to #60 ASAP … please help this I don’t understand this …. I need to get it done before Monday … can someone please help me with it
Answer:
53. 256
54. 66
55. 117
56. 91
57. 285
58. 408
59. n(7n - 5) / 2
60. 325
Step-by-step explanation:
When 12 is added to half the sum of a number and 3 the result is 28. What is the number?
Answer:
13
Step-by-step explanation:
This is simple take both 12 and 3 from 28.
28-12=16
16-3= 13
Help (Geomotry)question3.
Answer:
8x+11=14x_1
14x_8x=11+1
6x=12
x=12/6
x=2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Find the measure of JL.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Given, K is the midpoint of JL. So, JK = KL.
KL = 14x - 1JK = 8x + 11JL = ?________
JL = JK + KL (given that K is the midpoint of JL)
JL = (8x + 11) + (14x - 1)
________
[tex] \large \boxed{\mathfrak{Steps} \downarrow}[/tex]
[tex] \sf( 8 x + 11 ) + ( 14 x - 1 )[/tex]
Combine 8x and 14x to get 22x.
[tex] \sf \: 22x+11-1 [/tex]
Subtract 1 from 11 to get 10.
[tex] \boxed{ \boxed{ \bf22x+10 }}[/tex]
________
Also given that, JK = KL.
So, (8x + 11) = (14x - 1)
⇨ (8x + 11) = (14x - 1)
⇨ 8x + 11 = 14x - 1
⇨ 11 + 1 = 14x - 8x
⇨ 12 = 6x
⇨ x = 12 / 6
⇨ [tex] \boxed{ \boxed{ \bf \: x= 2 }}[/tex]
________
Now, value of JL will be,
JL = 22x + 10
Substitute the value of x.
JL = 22(2) + 10
JL = 44 + 10
[tex] \boxed{ \boxed{ \bf\: JL = 50 }}[/tex]
⇨ So, the value of JL will be 50 units.
If U = {a,b,c,d,e,f,g,h,i,j} A = {a,e,i} B = {b,c,d,e} Write the elements for the complement of (A u B)
Answer:
(f,g,h,i)
Step-by-step explanation:
(AuB)=(a,b,c,d,e,i)
(AuB) complement =(f,g,h,i)
Explain how you know the sum of 5,4, and -5 is positive without actually adding
Answer:
5 combined 4 is already greater than 5 so even if you subtracted 5 it would still be positive
Step-by-step explanation:
It takes $8$ cups of chocolate chips to make $12$ cookies. How many cups of chocolate chips will it take to make $15$ cookies? Please help quick! :) :(
Hello!!!
Answer:
11 cups of chocolate chips
Step-by-step explanation:
If we use the information we got from the problem we can see that 8 gives us 12. So all we need to do is add more to the orignal number(8) unitll we get 15. So 11 cups gives us 15 cookies.
Have a nice day!!!
Evaluate 3(5+310 + 4 . 8]}
A. 1008
B. 1023
C. 393
Answer:
That's 3*5 + 3*310 + 3*4.8 which equals
15 + 930 + 14.4 equals
959.40
Step-by-step explanation:
-2bc(5a-4b)
who said right answer
I will see
and follow also
Answer:
This is the correct answer
rectangle A has a side length of 12 cm and another side of 8cm. rectangle B has a side length of 15 cm and the other side is 8 cm. are they scale copies?
Answer:
No
Step-by-step explanation:
In order to find if they are scale copies we need to check if the ratio betwenn the two lengths and between the two widths are equal.
The ratio of the lengths is 12 : 15 = 4 : 5
The ratio of the widths is 8 : 8 = 1: 1
Since th ratio are different then the are not scale copies.
hey can I have some help with this I am very confused
#a
m<5=40°
Reason-Its Given#b
m<2=140
Reason-Given#c
<5 and <2 are linear pair(looked properly in diagram) Hence they are supplementary.
#d
<5 and 2 are same side interior angles (Clearly shown on diagram .
We can call them co responding interior angles and their sum will be 180 if lines are parallel#e
a||b
Let's verify
Let the angle below <1 be <3
Now
<2+<3=180
<5+<4=180
<5=<2[tex]\\ \sf\longmapsto <5+<2=180[/tex]
Hence verified
A gardener plants 20 trees in a straight line. The trees are 5 m apart. What is the distance between the first tree and the last tree.
A Distance between 1st tree and 2nd tree is 5m
similarly it's 10m between 1st and 3rd trees and so on.
So, the total distance between the first and last tree will be :
[tex] \hookrightarrow \: (n -1) \times d[/tex]
where,
n = number of trees d = distance between each tree[tex] \hookrightarrow \: (20 - 1) \times 5[/tex]
[tex] \hookrightarrow \: 19 \times 5[/tex]
[tex] \hookrightarrow \: 95[/tex]
Therefore, the distance between first and last tree is 95 m.
39 divided by 800 please show the steps!!
Answer:
0.4875
Step-by-step explanation:
Long division process:
_0.4875__
800|39.00000
-3200
7000
-6400
6000
-5600
4000
-4000
0
Answer:
487.8
Step-by-step explanation:
A teacher's assistant is mixing paint. In order to make a particular shade, 6 tablespoons of blue paint are mixed with
2 teaspoons of yellow paint. If } tablespoon equals 1 teaspoon, how many teaspoons are in the final mixture?
02
04
11
18
20
Answer:
20
Step-by-step explanation:
In one baseball season, Peter hit twice the difference of the
number of home runs Alice hit and 6. Altogether, they hit
18 home runs. How many home runs did each player hit
that season?
Answer:
Alice hit 10 home runs.
Peter hit 8 home runs.
Step-by-step explanation:
Let [tex]p[/tex] be the number of home runs Peter hit.
Let [tex]a[/tex] be the number of home runs Alice hit.
[tex]p=2(a-6)\\a+p=18\\\\a+2(a-6)=18\\a+2a-12=18\\a+2a=30\\3a=30\\a=10\\\\a+p=18\\10+p=18\\p=8\\\\p=2(a-6)\\8=2(10-6)\\8=2(4)\\8=8[/tex]
The cost of 6o kg of wheat is R5400 what is the cost of 4 qorntal of wheat?
Answer:
Cost of 6o kg of wheat = Rs5400Cost of 1 kg wheat =[tex] \frac{5400}{60} \\ [/tex]
= 90Cost of 4 qorntal of wheat= 4×90= 360.5
The National Chimpanzee Foundation measures the average of 4000 chimpanzee's birth weight to be 3550 grar
grams. What percent of chimpanzees were between 2700 grams and 4400 grams?
0 47,5%
95%
81.5%
99.7%
68%
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Mi
If a truck starts from rest and it has acceleration of 4m/s square for 5 second , calculate it's final velocity . What will be the distance travelled by the truck during the time interval
Answers:
Final Velocity = 20 m/s
Distance Traveled = 50 meters
======================================================
Explanation:
The truck starts from rest, so its initial starting velocity is 0 m/s. I'll denote this as Vi = 0.
The final velocity is what we want to find, so we want to solve for Vf.
The acceleration is a = 4 m/s^2.
The change in time is t = 5 seconds.
So,
a = (Vf - Vi)/(t)
4 = (Vf - 0)/5
4*5 = Vf
20 = Vf
Vf = 20
The final velocity is 20 m/s.
---------------------
Now let's calculate the distance traveled using the following kinematics equation:
d = 0.5*(Vi+Vf)*t
d = 0.5*(0+20)*5
d = 0.5*(20)*5
d = 10*5
d = 50
The truck travels a total distance of 50 meters.
---------------------
This is another way to calculate the distance traveled where we don't need to find Vf
d = Vi*t + 0.5*a*t^2
d = 0*5 + 0.5*4*5^2
d = 0 + 2*25
d = 50
However, since your teacher wanted you to compute Vf, I think you should stick to the previous set of steps.
6-5(2x-3)=4x+7
Solve for x
Answer:
1
Step-by-step explanation:
6 - 5(2x-3) = 4x + 7
-5(2x-3) = 4x + 1
-10x + 15 = 4x + 1
-14x = -14
14x = 14
x = 1
need help! 4-10 please!
Answer:
4) 10.5ft
5) 12.75ft
6)14.625ft
Step-by-step explanation:
4) 7 x 1.5 = 10.5ft
5) 8.5 x 1.5 = 12.75ft
6) 9 3/4 = 9.75 x 1.5 = 14.625ft
7 - 10) map needed
(-6)(2) + (-8 divided by 4)
Answer:
-14
Step-by-step explanation:
!
Answer:
-14
Step-by-step explanation:
(-6)(2) + (-8/4) =
-12 - 2 =
-14
