Answer:
4x +y = 3
Step-by-step explanation:
Perpendicular lines have slopes that are the negative reciprocals of one another. When the equation of the line is written in standard form like this, the equation of the perpendicular line can be written by swapping the x- and y-coefficients and negating one of them. Doing this much would give you ...
4x +y = (constant)
Note that we have chosen to make the equation read 4x+y, not -4x-y. The reason is that "standard form" requires the leading coefficient to be positive.
Now, you just need to make sure the constant is appropriate for the point you want the line to go through. So, it needs to be ...
4(2) +(-5) = constant = 3
The line of interest has equation ...
4x + y = 3
Answer:
6825
Step-by-step explanation:
From the equation, the series is a geometric series, such that
a = 5
r = 4
n = 6
sum of a geometric series is a(r^n - 1)/(r - 1)
therefore,
sum of the series is 5 x (4^6 - 1) / (4 - 1)
= 5 x (4096 - 1) / 3
= 5 x 4095 / 3
= 6825
<span>c. –17.9+(–4.2)
</span><span><span>The General rule for adding and subtracting numbers </span><span>
1. Two integers with the same signs
Once 2 integers has the same sign, then just add the numbers.
For example</span>
<span>1. 1+1 = 2 </span>
<span>2. 2 + 5 = 7 </span><span>
2. Two integers with different signs
<span>When 2 integers has different sign, then find the difference
For example
1. 1-1 =0</span></span>
<span>2. 2 – 5 = -3 </span><span>
3. Two integers that vary in sign
<span>When 2 integers vary in sign, then it will depend who which number carries the largest value
For example</span></span> <span><span>
1. </span>-3 + 2 = -1</span>
<span><span>2. </span>2 – 1 = 1</span><span> </span></span>
Answer:
3x ≥ 45
15, 20 , 25
Step-by-step explanation:
Let's call the number of bars Renee sold as " x "
Let's call the number of bars Robin sold as " y "
Robins, y, sold two times as many bars as Renee, x
That means Robin sold 2 times x or 2x
So y = 2x
The sum of bars Renee, x, and Robin, 2x, sold together are no less than 45
No less than 45 means the number of bars have to be greater than or equal to 45
x + 2x ≥ 45
3x ≥ 45
x ≥ 15
Renee can sell, 15, 20, or 25 bars . (just has to be bigger or equal to 15)
If my answer is incorrect, pls correct me!
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-Chetan K
