Answer:
b = -125/9
Step-by-step explanation:
1 + log5 ( -9b) = 4
Subtract 1 from each side
1 -1+ log5 ( -9b) = 4-1
log5 ( -9b) = 3
Raise each side to the base 5
5^ log5 ( -9b) = 5^3
This will cancel the log5
-9b = 125
Divide each side by 9
-9b/-9 = 125/-9
b = -125/9
(I will do my best to entirely explain the subject) To understand Positives and Negatives you need to have a number line.
<u>-3 -2 -1 0 1 2 3</u>
Your whole life you have been using positives and negatives when you subtract or add a number. 9 - 2 is really just 9 + -2
With the number line it should be easier to understand that for every single time you add or take away you change the value. The more you take away (Negative numbers, 5 + -6) the farther down the value goes to the left, more towards the negative side (5 + -6 = -1). The same goes for addition (-6 + 9 = 3).
To multiply all you need to do is count how many times you see a negative number. If you see an even number of negatives then the answer will be positive because on the number line you went from one side to the other multiple times, left right left right and all that jazz. Hopefully i made this make more sense to you, if there is anything i need to clarify on please make it known so i can edit my answer.
Answer: The midpoint of segment PQ is the number 2.5
note: 2.5 as a fraction is 5/2; as a mixed number 2.5 converts to 2&1/2
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Explanation:
Apply the midpoint formula to get the midpoint of -8 and 6
We simply add up the values and divide by 2 and we get (-8+6)/2 = -2/2 = -1
So point Q is at -1 on the number line, which is exactly halfway from R to P
Focus on just points P and Q now. Apply the midpoint formula again
Q = -1
P = 6
(Q+P)/2 = (-1+6)/2 = 5/2 = 2.5
So the midpoint of segment PQ is 2.5
The decimal 2.5 can be written as the mixed number 2&1/2, showing that this new point is exactly halfway between 2 and 3.
Is there more to this question? I feel like there is not enough information. Perhaps the probability is low because in order to survive, she must work. Many jobs may not require schooling. Sorry if this didn’t help.
Answer:
3x - 4y = 0
Step-by-step explanation:
The triangle Δ ABC has vertices A(0,0), B(0,4) and C(3,0).
Therefore, the equation of the straight line BC in intercept form will be
⇒ 4x + 3y = 12
⇒ 
.......... (1)
This is a equation in slope-intercept form and the slope is 
.
Now, the altitude AR is perpendicular to equation (1) and hence its slope will be 
.
{Since, the product of slope of two mutually perpendicular straight line is always - 1}
Therefore, the equation of the altitude AR which passes through A(0,0) will be
⇒ 4y = 3x
⇒ 3x - 4y = 0 (Answer)
