Hello!
To find the line perpendicular to the given line, y = 2x + 3, firstly, find the slope of the perpendicular line. To find it, use this format: -1/m, where m is the slope. It is also called the "negative reciprocal" of the slope of the given line.
Then, you substitute an ordered pair into a new slope-intercept equation (with the slope) and find the y-intercept.
-1/m when m = 2 → -1/2
y = -1/2x + b (substitute the given ordered pair)
-3 = -1/2(2) + b (simplify)
-3 = -1 + b (add 1 to both sides)
-2 = b | The y-intercept of the perpendicular equation is -2.
Therefore, the line perpendicular to the given equation, that also goes through the given ordered pair is y = -1/2x - 2.
Answer:
Some details are missing in the question, here are the details ; A proton initially has v = -6.5i + 17j + 13k and then 8.00s later has v = -2.8i + 17j - 9.3k (in meters per seconds).
a) proton's average acceleration in unit vector notation = 0.46i - 2.78k
b) Magnitude = 2.85m/s2
c) angle between and the positive direction of the x axis = 279.39 degree (counter clockwise)
Step-by-step explanation:
The detailed and step by step explanation is as shown in the attachment
Answer: it’s b
Step-by-step explanation:
A-P-E-X QUIZ
Answer:
$58.64
Step-by-step explanation:
The total cost of a game g with 7% sales tax can be represented by the expression
g + 0.07g
From the above question,
g = Original price of the game = $52.
The total cost of game g =
$52 + 0.07 × $52
$52 + $3.64
= $58.64
Part A
The starting amount of water is 95 cubic meters or m^3 for short. This is the y intercept because it handles the starting amount.
Then the pool is filled at a rate of 4 m^3 per minute. This is the slope, i.e. the rate of change. Because this rate of change is constant, we have a linear equation.
We go from y = mx+b to y = 4x+95
Replace x with t to get the answer.
<h3>Answer: 4t + 95</h3>
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Part B
Plug in t = 17 and compute
V(t) = 4t + 95
V(17) = 4*17 + 95
V(17) = 163
<h3>Answer: 163</h3>
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Part C
We go in reverse compared to the previous part.
This time we don't know the t value, but we are given the V(t) value instead.
V(t) = 231
4t+95 = 231
4t = 231-95
4t = 136
t = 136/4
t = 34
<h3>Answer: 34</h3>
