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vivado [14]
2 years ago
11

Which lines are perpendicular to the line y - 1 = 1/3(x+2)? Check all that apply.

Mathematics
2 answers:
Romashka-Z-Leto [24]2 years ago
8 0
The slope of the given line is 1/3.

The perpendiculars all have the negative reciprocal slope, -3.

<span>A. y + 2 = -3(x-4)

Yes, slope -3.

B. y - 5 = 3(x+11)

No, slope 3.

C. y = -3x - 5/3

Yes, slope -3.

D. y = 1/3  x - 2

No, that's slope 1/3.

E. 3x + y = 7
</span>
That's

y = -3x + 7

Another slope -3, Yes.
lesya692 [45]2 years ago
4 0

Answer:

a c e

Step-by-step explanation:

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Simplify 42 ⋅ 48 thanks
Andreyy89
42•48=2,016. Hope this helped!
4 0
3 years ago
If f(x)= 4-2x and g(x)=6x which expression is equivalent to (g-f)(3)
Dmitrij [34]

Answer:

(g-f)(3) = 20

Step-by-step explanation:

g(3)=6 * (3) = 18

f(3)= 4-2(3) = 4 - 6 = -2

So

(g-f)(3) = 18 - (-2) = 20

4 0
3 years ago
The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2
Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered  minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

  • The value of x, in this case the value of current c in amperes, can be calculated with the formula c=\frac{-b}{2*a} . In this case: c=\frac{-120}{2*(-12)} So c= 5 amperes. The current is 5 amperes.
  • The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

<u><em>The maximum power generated by the circuit is 300 watts.</em></u>

7 0
3 years ago
The length of a rectangular garden is 5 meters long. The area of the garden is 10 square meters. Which equation correctly relate
serious [3.7K]

Answer:

the width is 2 meters

Step-by-step explanation:

10 / 5 = 2

3 0
2 years ago
A recipe calls for 2 cups of flour of flour to make 3 dozen cookies. Is 3 cups of flour enough to make 60 cookies?
Alex787 [66]

Answer:

no it is not

Step-by-step explanation:

it would be 54

8 0
3 years ago
Read 2 more answers
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