The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.
Answer:
z=3
Step-by-step explanation:
→32+76+24z=180[Sum of all sides of a triangle]
→108+24z=180
→24z=180-108
→z=72/24
→z=3
9514 1404 393
Answer:
a. 40
b. 0
c. 50
Step-by-step explanation:
a) 46 + (-2k) for k = 3 is ...
46 + (-2(3)) = 46 -6 = 40
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b) 46 + (-2k) for k = 23 is ...
46 + (-2(23)) = 46 -46 = 0
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c) 46 + (-2k) for k = -2 is ...
46 + (-2(-2)) = 46 +4 = 50
Answer:
D. 12
Step-by-step explanation:
9514 1404 393
Answer:
a) P(t) = 6.29e^(0.0241t)
b) P(6) ≈ 7.3 million
c) 10 years
d) 28.8 years
Step-by-step explanation:
a) You have written the equation.
P(t) = 6.29·e^(0.0241·t)
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b) 2018 is 6 years after 2012.
P(6) = 6.29·e^(0.0241·6) ≈ 7.2686 ≈ 7.3 . . . million
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c) We want t for ...
8 = 6.29·e^(0.0241t)
ln(8/6.29) = 0.0241t
t = ln(8/6.29)/0.0241 ≈ 9.978 ≈ 10.0 . . . years
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d) Along the same lines as the calculation in part (c), doubling time is ...
t = ln(2)/0.0241 ≈ 28.7613 ≈ 28.8 . . . years