Answer: -4
Step-by-step explanation:
Set up an equation
8x+3=-29
Subtract 3
8x=-32
x=-4
Answer:
7 units
Step-by-step explanation:
In an isosceles right triangle, the hypotenuse is √2 times the leg length. Then ...
... 7√2 = leg·√2
... 7 = leg . . . . . . . divide both sides by √2
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<em>Comment on isosceles right triangle</em>
If the legs are both length 1, the Pythagorean theorem tells us ...
... hypotenuse² = 1² +1² = 2
... hypotenuse = √2 . . . . . . . . . square root both sides of the equation
This result can be scaled by any multiplier you like. In this problem, the scale factor is 7, making the legs 7 and the hypotenuse 7√2.
Answer:
- 3, 9, 25
Step-by-step explanation:
To find the required terms of the sequence substitute n = 2, 5, 9 into the given rule, that is
= - 7 + (2 - 1)4 = - 7 + (1 × 4) = - 7 + 4 = - 3
= - 7 + (5 - 1)4 = - 7 + (4 × 4) = - 7 + 16 = 9
= - 7 + (9 - 1)4 = - 7 + (8 × 4) = - 7 + 32 = 25
Answer:
sin(2θ) = 1/2 has 4 solutions instead of 2
Step-by-step explanation:
The argument of the sine function (2θ) will have a possible range of 0 to 4π in the latter equation, doubling the number of possible answers.
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The number of cycles of the sine function you need to consider will match the coefficient of the variable in the sine function argument. Perhaps the graph below can give you a clue as to why.