Answer:
x = 4
Step-by-step explanation:
given 2 chords intersecting inside a circle , then
the product of the parts of one chord is equal to the product of the parts of the other chord, that is
9 × 4x = 8(4x + 2)
36x = 32x + 16 ( subtract 32x from both sides )
4x = 16 ( divide both sides by 4 )
x = 4
<span>3 = log(8) + log(x³) </span>
<span>When adding logs, you are multiplying the terms altogether. </span>
<span>3 = log(8x³) </span>
<span>Then, by log_a b = n ==> aⁿ = b: </span>
<span>10³ = 8x³ [Since the base is not given, I assume that the base is 10] </span>
<span>1000 = 8x³ </span>
<span>Finally, solve for x. </span>
<span>1000/8 = x³ </span>
<span>x³ = 125 </span>
<span>x = (125)^(1/3) . . .Set both sides to the power of 1/3. </span>
<span>x = 5 </span>
<span>Hence, x = 5. </span>
Answer:
1day=2.5km
7days=?
<u>7</u><u>×</u><u>2</u><u>.</u><u>5</u>
1
=17.5km
1km=1000m
27.5km=?
=27500m
Answer:
0.18 sec or 3.4 sec.
For second part, it will take 3.7 sec.
First part:
Set h(t) = 17and solve for t.
-16t²+ 58t + 7= 17
-16t² + 58t - 10 = 0
Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 17 on the way up, and the higher value is the time to reach 17 again, on the way down.
Second part:
Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.
Answer: Each piece should be 7 inches long.
