Hi there!
Answer:
The answer is "<span>Subtract 10, then divide by −4"
Explanation:
To solve a linear equation (for x) we need to isolate the variable (x). First we need to bring the variables to the left side (in this case, it is already on the correct place). Next up is bringing all the integers to the right side. Therefore, we must first subtract 10. Our final step is dividing by the number that is placed in front of x (in this case divide by </span><span>−4)
</span><span>
Solving the equation:
</span><span>−4x + 10 = 2
First subtract 10 (from both sides of the equation)
</span>−4x = −8
Divide by −4
x = −8 / −4 = 2
Therefore, the solution is x = 2
I hope this anwer helps you!
The question is incomplete. Here is the complete question:
Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which answers is correct.
(A) 
(B) ![\sqrt[3]{22}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B22%7D%20)
(C) ![\pm \sqrt[3]{22}](https://tex.z-dn.net/?f=%5Cpm%20%5Csqrt%5B3%5D%7B22%7D%20)
(D) 
Answer:
(B) ![\sqrt[3]{22}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B22%7D)
Step-by-step explanation:
Given:
The equation to solve is given as:
Here, the left hand side of the equation has a variable 'x' in exponent form. So, in order to solve for 'x', we have to eliminate the exponent.
For removing the exponent, we have to take cubic root on both the sides. As we know that,
![\sqrt[n]{x^n} =x](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5En%7D%20%3Dx)
So, taking cubic root on both the sides, we get
![\sqrt[3]{x^3}=\sqrt[3]{22}\\\\x=\sqrt[3]{22}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%3D%5Csqrt%5B3%5D%7B22%7D%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7B22%7D)
Therefore, the second student has written the correct answer and hence the correct option is (B).
Answer:
Step-by-step explanation:
- Diagonals of a rhombus are perpendicular.
- Sides are of equal length.
<u>Use Pythagorean to work out the side length.</u>
- a² = (d₁/2)² + (d₂/2)²
- a² = (24/2)² + (45/2)² = 650.25
- a = √650.25
- a = 25.5 cm
<u>The perimeter is:</u>
- P = 4a
- P = 4*25.5 = 102 cm
Answer:
in pic
Step-by-step explanation:
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