Here is one way to solve for x.
Step 1) 2x^2-7=9
Step 2) 2x^2-7+7=9+7
Step 3) 2x^2=16
Step 4) (2x^2)/2=16/2
Step 5) x^2=8
Step 6) sqrt(x^2)=sqrt(8)
Step 7) |x|=sqrt(8)
Step 8) x=sqrt(8) or x=-sqrt(8)
-------------------------------------
Below are explanations/reasons to each of the steps above.
Step 1) Original equation
Step 2) Add 7 to both sides
Step 3) Combine like terms
Step 4) Divide both sides by 2
Step 5) Simplify
Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"
Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x
Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.
-------------------------------------
The two solutions are
x = sqrt(8) or x = -sqrt(8)
You would move all terms that don’t contain x to the right side and solve. Answer : x= -3
Answer:
To find the missing base, you simply divided the area by the given height. This will work the same way if you are looking for the height. To find the missing height, divide the area by the given base.
Step-by-step explanation:
base = 35cm, height = ? cm, and a = 700 cm^2 a = bh
700 = 35 x h
700/35 = 35 x h/35
20 = h
Therefore, the answer would be 20cm. Hope this helps! :)
Answer: a) 15 1/2 hours
Step-by-step explanation :
1/2 ×2=1. 1×4=4 1 1/2 ×1= 1 1/2 2×2=4. 2 1/2 ×2= 5
Add all answers and you have 15 1/2 hours.
According to the geometry program used to draw the triangle, the lengths of the sides add to 21.841 units*. Rounded to the nearest tenth, the appropriate answer choice is ...
... 21.8
_____
You can use your test-taking skill to choose this answer without doing a single calculation. The answer choices appear to be about rounding, not about accurate calculation of the length. The choice 21.84 tells you that is probably the value before any rounding. Then choices 22 and 21.9 are obviously incorrectly rounded. The correctly rounded answer is then 21.8.
Coordinate differences are ...
AB = (-1, 6) -(-4, 0) = (3, 6) . . . . ║AB║=√(3²+6²)=3√5
BC = (3, -1) -(-1, 6) = (4, -7) . . . . ║BC║=√(4²+7²)=√65
CA = (-4, 0) -(3, -1) = (-7, 1) . . . . ║CA║=√(7²+1²)=5√2
The sum of these lengths is about 21.8415, so rounds to 21.8.
___
* If you follow the math, you find that the final sum should be displayed using 3 decimal digits as 21.842. The error in the least-significant digit of the sum comes from rounding each length to 3 decimal digits.
