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Veronika [31]
3 years ago
5

Line C and D are perpendicular. If the slope of a line c is -4, what is the slope of line D?

Mathematics
2 answers:
olga_2 [115]3 years ago
5 0

Answer:

\frac {1}{4} is slope for line D

Step-by-step explanation:

<u>Step 1:  Find the slope of the line D </u>

<em>Flip the sign on Line C </em>

-4 was previous

4 is new

<em>Convert to reciprocal </em>

4 was previous

1/4 is new

Answer: \frac {1}{4} is slope for line D

andrew11 [14]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

The slope of a line is the steepness of a line.

The slope of a perpendicular line is always the negative reciprocal of the slope of the line it is perpendicular with.

Since line C has a slope of -4, the negative reciprocal of that is 1/4.

Reciprocals are two numbers that multiply together to get 1.

For example, -1/4*-4/1=1

Therefore the negative recipricol is 1/4

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zubka84 [21]

Answer: Number one would be 3x+2y+-14 and x+y=-4, second one is x=-3, y=7

Step-by-step explanation:

The first one is solved by inputting the x and y in each one and finding which one comes out true, the second on is solved by substitution. to find x you would subtract x in the first equation and make it y=4-x then input that equation in the y in the second equation.

6 0
3 years ago
Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.
kirill115 [55]

Answer:

  • See below

Step-by-step explanation:

<u>The quadratic equation in factored form:</u>

  • a(x - α)(x - β), where a- leading coefficient, α and β - roots

<u>We have:</u>

  • a = 3, α = 1, β = -2

<u>Substitute them to get:</u>

  • 3(x - 1)(x + 2)

<u>Converting this into standard form:</u>

  • 3(x - 1)(x + 2) =
  • 3(x² + x - 2) =
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3 0
2 years ago
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe
nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

6 0
3 years ago
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jarptica [38.1K]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
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The Edwards family's bill for dinner is $52.95. How much should they tip their server? (Assuming the normal 15%)
Solnce55 [7]
15% of 52.95 is 7.94

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8 0
3 years ago
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