Answer:
Here the answer is
Step-by-step explanation:
( x + 1 ) X ( 2x - 5 )
The value of OB based on the information given about the triangle is 3 units.
<h3>How to illustrate the information?</h3>
It should be noted that dilation is the process of enlarging or shrinking of an object.
In this case, the triangle is dilated. Therefore, the length of OB will be:
= 3/4 × 4 = 3 units.
Therefore, the correct option is B.
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Invested at 3% = x
invested at 4% = 2x
invested at 5% = x+500
0.03x + 0.04(2x) + 0.05(x+500) = 2025
0.03x + 0.08x +0.05x +25 = 2025
0.16x = 2000
x= 12,500
4% = 2x = 12,500 * 2 = $25,000
Answer:
c ≈ 9.1 m
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
c² = 4.1² + 8.1² = 16.81 + 65.61 = 82.42 ( take square root of both sides )
c = 
≈ 9.1 m ( to the nearest tenth )
Answer:
x = 2 or 1/4
Step-by-step explanation:
-13/4 -x= 1/2x -1
Collect like terms
-13/4+1=1/2x+x
Using LCM
(-13+4)/4=(1+2x²)/2x
9/4=(1+2x²)/2x
Cross multiply
9(2x)=4(1+2x²)
18x=4+8x²
Turn into quadratic and solve
8x²-18x+4
Using formulae method
-b±(√b²-4ac)/2a
Where a=8, b= -18 and c=4
(-(-18)±(√(-18)²-4(8)(4))/2(8)
(18±(√324-128))/16
(18±√196)/16
(18±14)/16
(18+14)/16 or (18-14)/16
32/16 or 4/16
2 or 1/4
