Answer:
y = (8/5)x + 15
Step-by-step explanation:
<em>First change the equation to standard form (y=mx+b)</em>
5x + 8y = 16
8y = 16 - 5x
y = - (5/8)x + (16/8)
y = - (5/8)x + 2
<em>Perpendicular Lines have the inverse opposite sign of slope</em>
<em>[For example: inverse opposite sign of 2 is - (1/2)]</em>
Original equation slope (m) : - (5/8)
2nd Equation (m) : 8/5
<em>After finding the slope, plug in the slope and points the standard form equation (y=mx+b)</em>
Point: (-5,7) x : -5 y : 7
Slope (m) : 8/5
y = m x + b
7 = (8/5) (-5) + b
<em>'b' is the y-intercept and the last thing to solve for the equation</em>
7 = - 8 + b
15 = b
<em>Now, put the slope (m) and y-intercept (b) back into the equation</em>
y = (8/5)x + 15
Answer:
Combination; number of ways = 15.
Step-by-step explanation:
Given that there are 6 people in the contest. So it means n = 6.
Two winners each win gift cards. So it means r = 2.
Each gift card is same, so both persons are equally important. It means the order does not matter here, so it is the case of Combinations. We will use nCr formula.
Total number of ways = 6C2 = (6*5)/2 = 15.
Hence, Combination; number of ways = 15.
Answer:
Neither Priya nor Tyler is correct. Both are wrong.
Step-by-step explanation:
Figure D is the only shape that we can refer to as a scaled copy of figure A. This is because, from observation, all segments that make up figure D are times two of the corresponding segments that make up figure A.
Whereas, if we compare figure B, and C with figure A, not all of their segments is twice as the corresponding segments of figure A.
Therefore, both Priya and Tyler are wrong. We cannot agree with any of them.
Your are being asked to find what value of a will result in the denominator being 0, since you can not divide by 0 then this will be your non permissible value. Simply take the denominator(after it has been factored down and reduced, if necessary, it's not in this question though) then set to 0 and solve for the variable.
Therefore your non permissible value will be,
a ≠ 0
The best and most correct answer among the choices provided by your question is the first choice or letter A.
As I calculated it, sine 50 is equivalent to <span>0.2623748537.</span>
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