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Sergeu [11.5K]
2 years ago
12

Write the equation of a line that contains the point (1,5) and is perpendicular to the

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
7 0

Slope of line that is perpendicular to the  line y = 2x - 6,

m=-\dfrac{1}{2}

Line passes through (1,5).

Equation of line will be,

y-5=m(x-1)\\y-5=-1/2{x-1}\\2y-10=-x+1\\2y=11-x

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x=4

Step-by-step explanation:

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Neporo4naja [7]

Answer:

The concentration of the drug is 50mg/mL.

Step-by-step explanation:

This problem can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, as the number of mg increases, so does the number of mL. It means the we have a direct rule of three.

Tha problem states that the antibody is available in a prefilled syringe containing 40 mg/0.8 mL. Calculate the concentration of drug on a mg/mL basis.

The problem wants to know how many mg are there in a mL of the drug.

40mg - 0.8mL

x mg - 1 mL

0.8x = 40

x = \frac{40}{0.8}

x = 50mg.

The concentration of the drug is 50mg/mL.

8 0
3 years ago
If the line joining the points (2,y) and (4,6) has the slope -3/2 find the value of y​
Yanka [14]

Answer: y=9

Step-by-step explanation:

slope=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }

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-6=2(6-y)

-6=12-2y

2y=18

y=9

4 0
4 years ago
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