Five times the sum of x and negative two, or five times the difference of x and two
Answer:
Step-by-step explanation:
The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:
-3 ± √21
x = -----------------
2
Answer:
4 units
Step-by-step explanation:
Let ABC be isosceles right angled ∆ right angled at B
By Pythagoras theorem,
AC² = AB² + BC²
(√32)² = 4² + s²
32 = 16 + s²
s² = 32 - 16
s² = 16
s = √16
s = 4 units.
Therefore s = 4 units
Hope it helps...
Answer:
5x + (- 1)
Step-by-step explanation:
So the terms are 2x, -5, 3x, and +4.
2x and 3x have x in common so they can be combined to create 5x.
-5 and +4 don't have variables, so they are also common and can be combined to make -1.
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Answer: 
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Given: 
Find: 
Solution: In order to determine the length of x we need to use some trigonometric functions. Using Soh Cah Toa we can see that we can either use 30 degrees or 60 degrees. We will stick to 60 and we can see that the opposite side is 3 and the hypotenuse is x meaning that we need to use sin. Plug in the values and solve for the unknown.
<u>Plug in the values</u>
<u>Multiply both sides by x</u>
<u>Divide both sides by sin(30)</u>
<u>Simplify</u>
Therefore, the value of the unknown variable x is 6 units.