Answer: m= -9
Step-by-step explanation: First use distributive property, -4(m) is -4m and -4(3) is -12. Then you have -4m -12 =24. Then use 12 and add it to the other side of the equation, cause of the subtraction sign, 12+24=36. Then you have -4m=36. Then divide the 4 to get the m by its self. 36 divided by -4 is -9. Your answer is m=-9
Hope this helps :)
Answer:
6 units squared
Step-by-step explanation:
Formula:
area = 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )
Assign variables:
A = 5, B = 4, C = 3.
Distribute:
area = 0.25 * √( (5 + 4 + 3) * (-5 + 4 + 3) * (5 - 4 + 3) * (5 + 4 - 3) )
Combine like terms
area = 0.25 * √( (12) * (2) * (4) * (6) )
Multiply:
area = 0.25 * √(576)
Square root:
area = 0.25 * 24
Multiply:
area = 6 units squared
Answer: 90 feet wide
Step-by-step explanation:
Answer:
Represent the thickness of the frame by x.
Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
A = (3+2x)(2+2x) = 8
The equation above can be simplified into 4x^2 + 10x -2=0.
This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.
