What is the equation in point-slope form of the line that passes through the point (−1, −4) and has a slope of –3 ?
Answers
Answer:
y + 4 = -3(x + 1)
Step-by-step explanation:
point-slope form : y - y2 = m (x - x2)
In this case m = -3 and x2 = -1, y2 = -4
So
The equation in point-slope form
y + 4 = -3(x + 1)
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Answers
Answer:
length = 7.5 cm
Step-by-step explanation:
Volume of rectangular box = 60 cubic cm
length * width * height = 60
length * 4 * 2 = 60
length * 8 = 60
length = 60/8 = 7.5 cm
Answers
(-2/3)w + 8/27 = -4/5
(-2/3)w = -4/5 -8/27
-4/5 - 8/27 ⇒ (-4/5)(27/27) - (8/27)(5/5) ⇒ -108/135 - 40/135 = (-108-40)/135
= -148/135
(-2/3)w = -148/135
w = -148/135 ÷ -2/3
w = -148/135 * -3/2 = (-148*-3)/(135*2) = 444/270
w = 1 174/270 or 1 29/45
174 ÷ 2 = 87 ÷ 3 = 29
270 ÷ 2 = 135 ÷ 3 = 45
to check: w = 1 29/45 ⇒ ((1*45)+29)/45 = 74/45
(w-4/9)(-2/3) = -4/5
(74/45 - 4/9)(-2/3) = -4/5
(74/45 - (4/9 * 5/5))(-2/3) = -4/5
(74/45 - 20/45)(-2/3) = -4/5
((74-20)/45)(-2/3) = -4/5
(54/45)(-2/3) = -4/5
(54*-2)/(45*3) = -4/5
-108/135 = -4/5
-4/5 = -4/5
-108 ÷ 27 = -4
135 ÷ 27 = 5
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N = 197
Answers
12)
y-5x+12
5x+y=12
y-12=5(4-0)
5x+y=-1
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Answer:
y=7 so all of the y's are 7 but the last one is 4
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Answer:
Step-by-step explanation:
We have been given that one winter day,the temperature ranged from a high 20°F to a low -25°F.
To find the degrees by which temperature dropped, we will find difference between the final temperature and initial temperature.
Since our difference is negative, therefore, the temperature dropped 45 degrees Fahrenheit.