Answer:
x=-38
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−6)−2(2x+3)=14
(3)(x)+(3)(−6)+(−2)(2x)+(−2)(3)=14(Distribute)
3x+−18+−4x+−6=14
(3x+−4x)+(−18+−6)=14(Combine Like Terms)
−x+−24=14
−x−24=14
Step 2: Add 24 to both sides.
−x−24+24=14+24
−x=38
Step 3: Divide both sides by -1.
−x
−1
=
38
−1
x=−38
All you have to do is subtract 10 from 3, which equals -7, and there you have an integer
Answer:
C=8k+24
Step-by-step explanation:
9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
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The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
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The attachment is intended to show how the triangle side lengths change with angle.