9514 1404 393
Answer:
x = -1
Step-by-step explanation:
A graphical solution can avoid extraneous solutions. The attachment shows the one solution is x = -1.
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Squaring both sides gives ...
x +5 = (x +3)² = x² +6x +9
Putting this in standard form, we have ...
x² +5x +4 = 0
(x +1)(x +4) = 0 . . . . . factor
x = -1 or -4 . . . . . . . . values of x that make the factors zero
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Since we require the root to be non-negative, we must have ...
x +3 ≥ 0
x ≥ -3
The only solution that satisfies this requirement is x = -1. The solution x = -4 is extraneous. The solution is x = -1.
To answer this problem, we can find to determine angle A first by taking the arc sin of 0.83. Angle A is equal to 33.9. Hence angle B should be 90-33.9 equal to 56.10. sin of 33.9 added to the sin of 56.10 is equal to 1.38. or we can just directly add the cos values since the sin is just the same as the complementary of each
m∠RSV = 3x + 5, m∠RST = 8x - 14 <em>given</em>
m∠RSV ≅ m∠VST <em>definition of segment bisector</em>
m∠RSV + m∠VST = m∠RST <em>angle addition postulate</em>
(3x + 5) + (3x + 5) = (8x - 14) <em>substitution</em>
6x + 10 = 8x - 14 <em>simplify (added like terms)</em>
10 = 2x - 14 <em>subtraction property of equality</em>
24 = 2x <em>addition property of equality</em>
12 = x <em>division property of equality</em>
Answer: x = 12
Answer:
the base is 5 meters long.
Step-by-step explanation:
To find the a missing side when given the area you have to multiply the area by 2 which in this case would be 50 so 50/10 would be 5m which is your answer.
<span>157.464m^3</span>
This is because using the formula, a^3, you get 5.4^3 which equals 157.464.
