Answer:
y - 9 = - 3(x - 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b) = (2, 9), thus
y - 9 = - 3(x - 2) ← in point- slope form
Let's call the two numbers and .
Given these variables, we can say: , based on the first sentence in the problem.
Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:
To solve, we can simply substitute in for in the second equation and solve.
- Get terms on the left side to a common denominator for easier addition
- Cross multiplication ()
- Subtract from both sides of the equation
- Factor left side of the equation
Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,
,
Since is not positive in this case, is not a solution.
Thus, is our only solution. In this case,
,
which means that the smaller number is 14 and the larger number is 28.
Answer:
x=40
Step-by-step explanation:
<span>We have
</span>
Let's take 6 out from the series
<span>Now multiply and divide by 9
</span>
<span>all 1s add up to n
</span>
Answer:
For Pizza A: 10 + 1.50x
For Pizza B: <u>12.50 + 1.00x</u>
To find the same amount - <u>10 + 1.50x = 12.50 + 1.00x</u>
<u>10 + 0.5x = 12.50</u>
<u>0.5x = 2.50</u>
- With X equally <u>5.</u> 10 + 1.50x + 1.00x = 10 + 2.5x (This may be incorrect)
Step-by-step explanation:
Since you're so desperate...