Which equation represents a nonlinear function?
Which equation represents a nonlinear function? - 1

Answers

Answer 1
Answer:

Answer:

B

Step-by-step explanation:

The others are of the form y=mx+c which is the definition of a linear function


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Brainly for correct answer!!The diagram shows two parallel lines cut by a transversal. One angle measure is shown.


Find the values of A B C D E F and G

Answers

The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.

What are vertically opposite angles?

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

It is given that:

The diagram shows two parallel lines cut by a transversal.

As we know from the definition of the vertically opposite angles:

b = 54 degrees

a + c = 54 + b  (a = c)

2a = 54x2

a = 54 degrees

Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.

Similarly:

b = 54

c = 126

d = 54

e = 126

f = 54

g = 126

Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.

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Answer:

a= 126

b= 54

c= 126

d= 54

e= 126

f= 54

g= 126

Step-by-step explanation:

To find a you would subtract 54 from 180 which would give you 126

Since a and b are another linear pair they would also add up to 180.

Then you move to c which is a linear pair with 54 so it is 126.

Because a and g are alternate interior angles they are congruent and they you continue with the same process for the first and check by seeing if the angles would be obtuse or acute to see if the angle measures would be correct.

A square quilt for a child’s bed has a border made up of 44 pieces with an area of x each, and 4 small squares with an area of 1 square inch each. The main part of the quilt is made of 121 squares with an area of x 2 each. Find an expression for the area of the quilt.

Answers

Answer:

A = ( 11x + 2 )²

Step-by-step explanation:

To find the total area of the quilt, we need to add up all the areas given:

If the border has 44 pieces with an area of x each one, that area is 44x.

The area of 4 squares of 1 in² each is 4×1 in² = 4 in².

The main part is made up of 121 squares with an area of x², which is 121x².

Adding those areas up, we get the expression for the total area:

A = 121x² + 44x + 4

You can easily notice that 121 = 11² and 4 = 2². If you double its product (2·11·2) = 44

So:

A = ( 11x + 2 )²

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

Answers

Since the value decreases by 25% each time, the next cost is the current cost times 0.75 (since new cost is 75% of current cost).
To find the value of the book after x times sold, you can use:
cost = 85(0.75)^x 
Just plug in the number of times it is resold to find the value.
A exponential function would represent it nicely f(x)=b*a^x
Reason being a decrease of %
a = 1+r
r = -25% = -0.25
And b being what the original cost of the book
f(x)=85*0.75^x
Where f(x) is the price after x amount of previous owners

Y=1/3 x2-2 make x the subject

Answers

The formula solved for the variable x is x = √2(y + 2)

What is subject of formula?

Subject of formula can be described as the variable that is made to stand out on one end of the equality sign.

The variable is allowed to stand alone.

It is the variable that is being sort out in an equation.

From the information given, we have that;

y=1/3 x2-2

To make 'x' the subject, we have;

y + 2 = 1/2x²

Divide both sides by the coefficient of x squared, we have;

2(y + 2) = x²

Now, find the square root of both sides, we have;

x = √(2(y + 2))

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Write an algebraic rule to describe the translation C(5, –4) C’(–2, 1)

Answers

Answer:

The required algebraic rule of translation is (x,y)\rightarrow (x-7,y+5).

Step-by-step explanation:

The coordinates of a point are C(5, –4) and the coordinates of image are C’(–2, 1).

C(5,-4)\rightarrow C'(-2,1)           .... (1)

Let the algebraic rule of translation is

(x,y)\rightarrow (x+a,y+b)           .... (2)

From (1) and (2) we get

x=5,y=-4

x+a=-2

5+a=-2

a=-2-5

a=-7

The value of a is -7.

y+b=1

-4+b=1

b=1+4

b=5

The value of b is 5.

The algebraic rule of translation is

(x,y)\rightarrow (x-7,y+5)

Therefore the required algebraic rule of translation is (x,y)\rightarrow (x-7,y+5).

We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)

So, plugging in the values and solving for a and b,
5 + a = -2
a = -8

-4 + b = 1
b = 5

Therefore, the translation is
(x,y) (x - 8, y +5)

A is the point (2, 3) and B is the point (7,-5).Find the equation of the linethrough A that is perpendicular to AB. Give your answer in the form y =
mx+C.

Answers

The equation of the line that is perpendicular to line AB will be y = (5/8) x + c.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

A is the point (2, 3) and B is the point (7,-5). Then the slope of the line AB is given as,

m = (3 + 5) / (2 - 7)

m = - 8 / 5

Then the slope of the perpendicular line is given as,

⇒ -1/m

⇒ - 1/(- 8/5)

⇒ 5/8

Then the equation of the perpendicular line is given as,

y = (5/8) x + c

The equation of the line that is perpendicular to line AB will be y = (5/8) x + c.

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Answer:

y=0.625x+1.75

Step-by-step explanation:

The equation of the line that goes through (2, 3) and (7, -5) needs to be found before finding the equation perpendicular to it. The formula y=mx+c will be used for finding this equation.

Calculating the slope between the data points:

m1=(3-(-5))/(2-7)=(8)/(-5)=-1.6

Finding the first y-intercept:

y=mx+c

c=y-mx

c=3-(-1.6*2)=3+3.2=6.2

The equation for the line that goes through the points is:

y=-1.6x+6.2

The perpendicular slope will be the opposite reciprocal of the original slope.

The second slope is found by first multiplying the first slope (m1) by -1:

m2=m1*-1=-1.6*-1=1.6

Then by taking the reciprocal:

m2=(1)/(1.6) =0.625

The second equation must have an intercept that goes through point A:

c=y-mx

c=3-(0.625*2)=3-1.25=1.75

The perpendicular equation is:

y=0.625x+1.75