Equations are expressions with equal values
- (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign
- (1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign
<u>(a) (1/3) ² +1 and 2 - 8/9</u>
Rewrite as:
![\mathbf{(1/3)\² +1 = 2 - 8/9}](https://tex.z-dn.net/?f=%5Cmathbf%7B%281%2F3%29%5C%C2%B2%20%2B1%20%3D%202%20-%208%2F9%7D)
Evaluate the exponent
![\mathbf{1/9 +1 = 2 - 8/9}](https://tex.z-dn.net/?f=%5Cmathbf%7B1%2F9%20%2B1%20%3D%202%20-%208%2F9%7D)
Take LCM
![\mathbf{1\frac 19 = \frac{18- 8}{9}}](https://tex.z-dn.net/?f=%5Cmathbf%7B1%5Cfrac%2019%20%3D%20%5Cfrac%7B18-%208%7D%7B9%7D%7D)
![\mathbf{1\frac 19 = \frac{10}{9}}](https://tex.z-dn.net/?f=%5Cmathbf%7B1%5Cfrac%2019%20%3D%20%5Cfrac%7B10%7D%7B9%7D%7D)
Simplify
![\mathbf{1\frac 19 = 1\frac{1}{9}}](https://tex.z-dn.net/?f=%5Cmathbf%7B1%5Cfrac%2019%20%3D%201%5Cfrac%7B1%7D%7B9%7D%7D)
Hence, (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign
<u>(b) (1+ 1/5)^2 and 2 16/25</u>
Rewrite as:
![\mathbf{(1+ 1/5)^2 =2\frac{ 16}{25}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%281%2B%201%2F5%29%5E2%20%3D2%5Cfrac%7B%2016%7D%7B25%7D%7D)
Take LCM
![\mathbf{(\frac{5 + 1}{5})^2 =2\frac{ 16}{25}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28%5Cfrac%7B5%20%2B%201%7D%7B5%7D%29%5E2%20%3D2%5Cfrac%7B%2016%7D%7B25%7D%7D)
![\mathbf{(\frac{6}{5})^2 =2\frac{ 16}{25}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28%5Cfrac%7B6%7D%7B5%7D%29%5E2%20%3D2%5Cfrac%7B%2016%7D%7B25%7D%7D)
![\mathbf{\frac{36}{25} =2\frac{ 16}{25}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B36%7D%7B25%7D%20%3D2%5Cfrac%7B%2016%7D%7B25%7D%7D)
Rewrite as:
![\mathbf{1\frac{9}{25} =2\frac{ 16}{25}}](https://tex.z-dn.net/?f=%5Cmathbf%7B1%5Cfrac%7B9%7D%7B25%7D%20%3D2%5Cfrac%7B%2016%7D%7B25%7D%7D)
Hence, (1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign
Read more about equations at:
brainly.com/question/13636476
Marcella won't be able to win the competition because the length of the rope is less than 162 feet.
<h3 />
How to find the sides of a right angle triangle?
The situation forms a right angle triangle.
The kite released rope is the hypotenuse side of the triangle formed.
The opposite side of the triangle is the height of the kite from the ground.
Therefore,
sin 28 = opposite / hypotenuse
sin 28 = 75 / h
h = 75 / sin 28
h = 75 / 0.46947156278
h = 159.754085116
h ≈ 160 feet
Therefore, she won't be able to win the competition because the length of the rope is less than 162 feet.
learn more on right triangle here: brainly.com/question/26774610?
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Answer:
6 and -6
Explanations:
The given polynomial function is:
f(x) = x² - 36
The zeros of the polynomial are found by equation f(x) to zero
The equation becomes:
x² - 36 = 0
x² - 6² = 0
(x - 6) (x + 6) = 0
x - 6 = 0
x = 6
x + 6 = 0
x = -6
The zeros of the polynomial are -6 and 6
Answer:
A
Step-by-step explanation:
300 minus 15 ( times each week that passed) would equal how much she owes