Hi there!
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I believe your answer is:
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Here’s why:
- We are supposed to rewrite a radical expression as an expression with fraction exponents.
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The rule for a fraction exponent is:
![a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7By%7D%7D%3D%5Csqrt%5By%5D%7Ba%5Ex%7D%5C%5C%5C%5C%5C%5C%5Chuge%5Cboxed%7B%5Cfrac%7B%5Ctext%7BPower%7D%7D%7B%5Ctext%7BRoot%7D%7D%7D)
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We are given the expression of ![\sqrt[3]{y^2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%5E2%7D)
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![\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BRewriting%20the%20expression%3A%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7By%5E2%7D%5C%5C%5C%5C%5Ctext%7BThe%20%273%27%20is%20the%20root%20and%20the%20%272%27%20is%20the%20power.%7D%5C%5C%5C%5C%5Crightarrow%20%5Csqrt%5B3%5D%7By%5E2%7D%20%5C%5C%5C%5C%5Crightarrow%20%7By%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
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Hope this helps you. I apologize if it’s incorrect.
Answer:
Firstly, from the diagram we are given that the length of XB is congruent to BZ, and YC is congruent to CZ. Based on this information, we know that B is the midpoint of XZ, and C is the midpoint of YZ. This means that BC connects the midpoints of segments XZ and YZ. Now that we know this, we can use the Triangle Midsegment Theorem to calculate the length of BC. This theorem states that if a segment connects the midpoints of two sides of a triangle, then the segment is equal to one-half the length of the third side. In this scenario, the third side would be XY, which has a length of 12 units. Therefore, the length of BC = 1/2(XY), and we can substitute the value of XY and solve this equation:
BC = 1/2(XY)
BC = 1/2(12)
BC = 6
Step-by-step explanation:
Please support my answer.
Answer: a.= 28.2°, b= 13.6cm, c = 3.2cm.
Step-by-step explanation:
Note that 80 is 16*5 and 96 is 16*6. Therefore, their sum is 16*5+16*6=16*(5+6), or 16*11. The sum is 176.
Answer:
Step-by-step explanation:
Y=-3x+15
Comparing to y = mx + c
Slope m = -3
Intercept c = 15
