Answer:
![\frac{4x^{21}}{y^{11}}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E%7B21%7D%7D%7By%5E%7B11%7D%7D)
Step-by-step explanation:
You are going to need to know two properties of exponents.
![x^a * x^b = x^{a+b}\\\frac{x^a}{x^b}=x^{a-b}](https://tex.z-dn.net/?f=x%5Ea%20%2A%20x%5Eb%20%3D%20x%5E%7Ba%2Bb%7D%5C%5C%5Cfrac%7Bx%5Ea%7D%7Bx%5Eb%7D%3Dx%5E%7Ba-b%7D)
Also know that a*b = b*a, so youc an change the order of multiplication.
Since everything is being multiplied in the numerator, and there is only multiplication, it's actually super easy to start. Just multiply everything.
![8x^9y^8(-2)x^5y^{-9} = -16x^{14}y^{-1}](https://tex.z-dn.net/?f=8x%5E9y%5E8%28-2%29x%5E5y%5E%7B-9%7D%20%3D%20-16x%5E%7B14%7Dy%5E%7B-1%7D)
so now you have ![\frac{-16x^14y^{-1}}{-4x^{-7}y^6}](https://tex.z-dn.net/?f=%5Cfrac%7B-16x%5E14y%5E%7B-1%7D%7D%7B-4x%5E%7B-7%7Dy%5E6%7D)
Again, since the numerator and denominator only have multiplication you can divide part by part. so the number divides the number, the x term divides the term and the y term divides the y term
-16/-4 = 4
x^14 / x^-7 = x^21
y^-1 / y^6 = y^-7
So all together that makes![4x^{21}y^{-7}](https://tex.z-dn.net/?f=4x%5E%7B21%7Dy%5E%7B-7%7D)
The final step in simplifying is making all negative powers into fractions. Sometimes non whole numbers can be made into roots. Definitely make negative powers fractions though
![\frac{4x^{21}}{y^{-7}}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E%7B21%7D%7D%7By%5E%7B-7%7D%7D)
Answer:
Area of a rectangle is Width * Length
Apply this to each area the question asks for
AreaTop = 8cm * 4cm = 32![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
AreaBottom = the same, 32![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
AreaFront = 2cm * 4cm = 8![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
AreaBack = the same, 8![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
AreaLeftSide = 2cm * 8cm = 16![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
AreaRightSide = the same, 16![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
TotalSurfaceArea = 16 + 16 + 8 + 8 + 32 + 32 = 112![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Hi there! I can help you with this.
6. Angle measurements:
x = 23
51 degrees
80 degrees
(2x + 3) = 49 degrees
8.
x = 30 degrees
3x = 90 degrees
2x = 60 degrees
x = 30 degrees
9.
x = 29 degrees
90 degrees
(2x - 2) = 56 degrees
(x + 5) = 34 degrees
Answer:
To stay within budget, she must use 4.5 gigabytes.
Step-by-step explanation:
Giving the following information:
Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month.
<u>First, we need to establish the total cost formula:</u>
Total cost= 58.5 + 4*x
x= number of gigabytes
<u>Now, we isolate x:</u>
76.5= 58.5 + 4x
18/4= x
4.5= x
To stay within budget, she must use 4.5 gigabytes.
Answer:
e) SAS
f) Not enough information
Step-by-step explanation:
e) Sas because there is an angle in between two sides and for that angle is opposite angles
f) Not enough information because SSA is not a theorem