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3 years ago

A line is perpendicular to y = -3x – 9 What is the slope of this perpendicular line?

Chemistry

2 answers:

docker41 [41]3 years ago

7 0

<u>Answer:</u>

The correct answer option is D. 4.

<u>Explanation:</u>

We are given that a line is perpendicular to another line with the equation $y=-\frac{1}{4} x-9$ . We are to find the slope of this perpendicular line.

We know that the in the standard equation of a line, $y=mx+c$ , m is the slope of the line.

Also, the slope of a line perpendicular to another is the negative reciprocal of that line.

Therefore, the slope of this perpendicular line is 4.

Gwar [14]3 years ago

6 0

Answer:

a. 1/3

In the picture- D. 4

Explanation:

The product of the gradients of perpendicular lines =-1

m1m2=-1

Given an equation of a line in the form y=mx+c, m is the gradient of the line.

For y= -3x-9, m=-3

m1m2=-1

-3×m2=-1

m2=1/3

The gradient of the perpendicular line is 1/3

For the question in the picture, y=-1/4x-9, m=-1/4

m1×m2=-1

-1/4m2=-1

m2=4

The slope of the line perpendicular to y=-1/4x-9 is 4

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Pesticide concentrations in the Rhine River between Germany and France between 1969 and 1975 averaged 0.55 mg/L of hexachloroben

sertanlavr [38]

Answer:

1.93×10⁻³ mmoles/L of C₆Cl₆; 1.58×10⁻⁴ mmoles/L of C₁₂H₈Cl₆O; 3.51×10⁻³ mmoles/L of C₆H₆Cl₆

Explanation:

We have to find out the molar mass of each pesticide to calculate the moles, and then the milimoles

C₆Cl₆ → 12. 6 + 35.45 .6 = 284.7 g/m

C₁₂H₈Cl₆O → 12 . 12 + 8.1 + 35.45 .6 + 16 = 380.7 g/m

C₆H₆Cl₆ → 12.6 + 6.1 + 35.45 .6 = 290,7 g/m

Let's convert mg to g (/1000)

0.55 mg / 1000 = 5.5×10⁻⁴ g

0.060 mg / 1000 = 6×10⁻⁵ g

1.02 mg / 1000 = 1.02×10⁻³ g

Now we can know the moles (mass / molar mass)

5.5×10⁻⁴ g / 284.7 g/m = 1.93×10⁻⁶ moles of C₆Cl₆

6×10⁻⁵ g / 380.7 g/m = 1.58×10⁻⁷ moles of C₁₂H₈Cl₆O

1.02×10⁻³ g / 290,7 g/m = 3.51×10⁻⁶ moles of C₆H₆Cl₆

Milimoles = Mol . 1000

1.93×10⁻⁶ . 1000 = 1.93×10⁻³ mmoles of C₆Cl₆

1.58×10⁻⁷ . 1000 = 1.58×10⁻⁴ mmoles of C₁₂H₈Cl₆O

3.51×10⁻⁶ . 1000 = 3.51×10⁻³ mmoles of C₆H₆Cl₆

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