Answer:
The answer is 1
Step-by-step explanation:
The value of any log where the base and the parameter are the same is always 1.
This is because the base raised to the first power will always be itself
Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30
Todd is 30 now.
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You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
Because the ratio of a 45,45,90 triangle is 1:1: square root 2, x=4.
:)
Answer:
X=3
X=-9
x=3/4
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u>
- A line having a slope of 3/2 passes through (2,1) .
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- The equation of the line .
<u>Answer </u><u>:</u><u>-</u>
According to the question ,
We know <u>Point</u><u> slope</u><u> form</u><u> </u> of the line as ,
Substitute ,
- y - 1 = 3/2 ( x - 2 )
- y - 1 = 3/2x - 3/2*2
- y - 1 = 3/2x - 3
- 2( y -1) = 3/2x *2 - 3*2
- 2y - 2 = 3x - 6
- 3x - 2y -4 = 0
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>3</u><u>x</u><u> </u><u>-2y</u><u>-</u><u>4</u><u>=</u><u>0</u><u> </u><u>.</u>