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DerKrebs [107]
4 years ago
6

For what value of a are the graphes of 6y=-2x+4 and 2y=ax-5 paralle?perpendicular

Mathematics
1 answer:
Tamiku [17]4 years ago
3 0
Parallel lines = same slope
a = -2

perpendicular lines = negative reciprocal slope
a = 1/2
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e-lub [12.9K]

Answer:

A cross section is the intersection of a figure in three-dimensional space with a plane. A cross section is the face you obtain by making a "slice" through a solid object. A cross section is two-dimensional. We see cross sections in everyday life.

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Solve y=f(x) for x. Then find the input when the output is -3.
DochEvi [55]

Answer:

Please check the explanation

Step-by-step explanation:

Given the function

f\left(x\right)\:=\:\left(x-5\right)^3-1

Given that the output = -3

i.e. y = -3

now substituting the value y=-3 and solve for x to determine the input 'x'

\:\:y=\:\left(x-5\right)^3-1

-3\:=\:\left(x-5\right)^3-1\:\:\:

switch sides

\left(x-5\right)^3-1=-3

Add 1 to both sides

\left(x-5\right)^3-1+1=-3+1

\left(x-5\right)^3=-2

\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}

Thus, the input values are:

x=-\sqrt[3]{2}+5,\:x=\frac{\sqrt[3]{2}\left(1+5\cdot \:2^{\frac{2}{3}}\right)}{2}-i\frac{\sqrt[3]{2}\sqrt{3}}{2},\:x=\frac{\sqrt[3]{2}\left(1+5\cdot \:2^{\frac{2}{3}}\right)}{2}+i\frac{\sqrt[3]{2}\sqrt{3}}{2}

And the real input is:

x=-\sqrt[3]{2}+5

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3 years ago
How Is the 2 in the number 582 similar to and different from the 2 in a number 528
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it makes the answer larger. the 2 and the 8 are switched

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4 years ago
An exercise bike has a list price of $1000. The manufacturer offers a gym equipment store a trade discount of 20%. The amount of
Fudgin [204]
For this case, what we should do is use the given equation.
 We have then:
 trade discount = rate × list price
 Where,
 list price = 1000 $
 rate = 20 * (1/100) = 0.2
 Substituting values we have:
 trade discount = (0.2) * (1000)
 trade discount = $ 200
 Answer:
 
The amount of the discount is $ 200
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3 years ago
If a polygon is a square, then a polygon is a quadrilateral The truth value: The converse: The truth value: The inverse: The tru
Simora [160]

Answer and Step-by-step explanation:

Given that if a polygon is a square, then a polygon is a quadrilateral, we find the converse, inverse and contrapositive of this implicational statement. The hypothesis is the causative statement and the conclusion is the resultant effect

The converse of this statement is the reverse of its statements hence:

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The inverse of this statement is the negation of the statements hence :

If a polygon is not a square then a polygon is not a quadrilateral

The contrapositive of the statement is the interchange of the hypothesis and conclusion of the inverse statement hence:

If a polygon is not a quadrilateral then a polygon is not a square

5 0
3 years ago
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