Which of these equations is for a line perpendicular to y-3=5(x-2)?
Answers
Answer:
C
Step-by-step explanation:
y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)
y = 5(x-2) + 3 (distribute parentheses)
y = x(5) - 2(5) + 3
y = 5x -10 + 3
y = 5x - 7
recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)
hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5
From the choices, the only one that is consistent with this is C
i.e choice C:
5y + x = 25
5y = -x + 25
y = -(1/5) x + 5 ===> gradient of -1/5
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The mode of this problem 8, because it is repeated multiple time.
Have A Brainly Day!
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= 3 hours : 45 minutes
= (3 hours)/(45 minutes)
We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,
= (180 minutes)/(45 minutes)
= 180/45
= 4/1
= 4 : 1
Answers
28 quarts is equivalent to 7 gallons.
To convert quarts to gallons, we can set up a proportion using the conversion equivalency: 4 quarts = 1 gallon.
Let's set up the proportion:
28 quarts / x gallons = 4 quarts / 1 gallon
Cross-multiplying, we have:
28 quarts × 1 gallon = 4 quarts × x gallons
28 gallons = 4 quarts × x
To solve for x, divide both sides of the equation by 4 quarts:
28 gallons / 4 quarts = x
Simplifying, we get:
7 gallons = x
Therefore, 28 quarts is equivalent to 7 gallons.
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Answer:
28 quarts = 7 gallons
Step-by-step explanation:
Answers
24= x/100 * 32
Multiply 100 on both sides.
2400 = x * 32
32x = 2400
Divide 32 on both sides.
x = 2400/32
x = 75
75 percent of 32 is 24
You do 24/32=x/100 and solve for x to find percentage of something. 24/32=.75 then multiply .75 by 100 and you get the answer 75%.