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Aleonysh [2.5K]
2 years ago
8

What is the slope of a line that is perpendicular to the line whose equation is ax by=c?

Mathematics
1 answer:
fiasKO [112]2 years ago
6 0

Answer:

b/a

Step-by-step explanation:

Perpendicular lines have slopes that are opposite sign and reciprocals (flipped over).

In the equation

ax + by = c,

the slope of the line is

-a/b

If you haven't memorized this pattern yet, you can calculate it by solving ax+by=c for y.

by = -ax +c

y = -a/b x + c/b

The slope is -a/b

So a perpendicular line would be opposite sign and flipped, b/a

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Which of the following is correct about environmental policy?a. The national forests are protected from the exploitive ""dual us
Andrew [12]

Answer:

Option C is correct.

Environmental regulation has led to dramatic improvements in air and water quality.

Step-by-step explanation:

- The national forests are protected from the exploitive ""dual use policy.

The dual use policy on any idea, technology, breakthrough etc. means such concept can be used for its intended purpose and for military use.

Natural forests are not excluded from this dual use policy & plenty forest exploiters hide under this policy to literally exploit natural forests.

- The Environmental Protection Agency was elevated to cabinet status in 1998 by President Clinton and the Republican Congress

This is not true as the EPA is still not a Cabinet department, but the Administrator is normally given cabinet rank.

- Environmental regulation has led to dramatic improvements in air and water quality.

Regulations have led plenty industries at the forefront of pollution to sit up and fix up. Strict laws and hefty fines have discouraged various water and air pollution means since those regulations came into place. This is the only correct statement about environmental policy amongst the options.

- Policymakers always give more consideration to environmental protection than to economic development when the two conflict.

This is true sometimes, but 'always'!? No, policymakers do not always give more consideration to environmental protection than to economic development when the two conflict.

6 0
3 years ago
If f(x) = 4x^2and g(x) = x+1, find (f•g)(x).
vazorg [7]

Answer:

(f.g)(x)=4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2and g(x) = x+1, (f•g)(x)=?

(f.g)(x)=f(x)*g(x)

(f.g)(x)=4x^2*(x+1)

(f.g)(x)=4x^3+4x^2

hope it helps. .brainliest please

4 0
3 years ago
Read 2 more answers
Which phrase describes the algebraic expression 3 x minus 4?
zaharov [31]

Answer:

3x - 4 = -12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help asap please :(<br><br> Find the surface area of the composite figure.
Liono4ka [1.6K]

Answer:

136 in²

Step-by-step explanation:

8x2=16

6x2=12

6x2=12

6x2=12

10x2=20

10x2=20

10x2=20

8x2=16

2x2=4

2x2=4

136 in²

8 0
3 years ago
Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
4 years ago
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