1. What is the solution to n^2 -49=0
A.-7
b.7
c. (upside down T in front of the 7) 7***
d. no solution
2. what is the solution of x^2 +64=0
a. -5
b. 8
c. (upside down T in front of the 8) 8
d. no solution***
3.What is the side length of a square with the area of 144x?
a.12
b.12x***
c.(upside down T in front of the 12x) 12x
d. no solution
4. what is the value of b in the triangle shown below?
a.-4in
b.4in***
c.(upside down T in front of the 4in) 4in
d. No solution
(3b is on the left side of the triangle and b is at the bottom, it says 24 in ^2 in the middle)
I agree with 1, 2, and 4
The upside down T you mention is a + or - notation.
I agree with 3 if the original problem was 144x^2
ok, thank you
1. To find the solution to n^2 - 49 = 0:
Step 1: Add 49 to both sides: n^2 = 49
Step 2: Take the square root of both sides: n = ±√49
Step 3: Simplify: n = ±7
The solutions are -7 and 7. Therefore, the correct answer is option c. (upside down T in front of the 7) 7.
2. To find the solution to x^2 + 64 = 0:
Step 1: Subtract 64 from both sides: x^2 = -64
Step 2: Take the square root of both sides: x = ±√(-64)
Step 3: Simplify: x = ±8i
The solutions involve imaginary numbers (i), indicating that there are no real solutions. Therefore, the correct answer is option d. no solution.
3. To find the side length of a square with an area of 144x:
Step 1: Take the square root of the area: side length = √(144x)
Step 2: Simplify: side length = 12√x
The correct answer is option b. 12x.
4. To find the value of b in the triangle:
Step 1: Divide both sides of 3b = 24 in^2 by 3: b = 8 in
The correct answer is option b. 4in.
1. To find the solution to the equation n^2 - 49 = 0, you can solve it by factoring. Start by adding 49 to both sides of the equation to eliminate the constant term: n^2 = 49. Next, take the square root of both sides to find the value of n: n = ±√49. Since the square root of 49 is 7, the solutions are n = -7 and n = 7. So the correct answer is b. 7.
2. To solve the equation x^2 + 64 = 0, you can start by subtracting 64 from both sides to eliminate the constant term: x^2 = -64. Next, take the square root of both sides, remembering to include the imaginary unit "i" since the square root of a negative number is imaginary: x = ±√(-64) = ±8i. Therefore, there are no real solutions to this equation, so the correct answer is d. no solution.
3. The formula for the area of a square is A = s^2, where s represents the side length. In this case, the area is given as 144x. Therefore, the equation becomes 144x = s^2. To solve for s, take the square root of both sides: s = √(144x). Simplifying the square root gives you s = √(12^2 * x) = 12√x. Therefore, the side length of the square is 12x. So the correct answer is b. 12x.
4. Based on the information given, we can use the formula for the area of a triangle: A = (base * height) / 2. From the given triangle, we know that the base is b and the height is 3b, and the area is given as 24in^2. Plugging these values into the formula, we have 24 = (b * 3b) / 2. Simplifying this equation gives us 24 = 3b^2 / 2. To solve for b, we can multiply both sides by 2/3: 24 * (2/3) = b^2. 16 = b^2. Taking the square root of both sides gives us b = ±√16. Since the square root of 16 is 4, the solutions are b = -4 and b = 4. Therefore, the correct answer is b. 4in.