A circular test track for cars has a circumference of 2.7km . A car travels around the track from the southernmost point to the northernmost point. What distance does the car travel? (answer 1.35km). Part B !!!!!!!What is the car's displacement from its original position?,

Answer:

The length of CC' is, [tex]\sqrt{29}[/tex]units

Step-by-step explanation:

Using distance(D) formula for any two points is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

As per the statement:

From the graph:

The coordinates of C and C' are:

C = (2, 2) and C' = (7, 4)

Apply the distance formula to find length CC', we have;

[tex]CC'= \sqrt{(7-2)^2+(4-2)^2}[/tex]

⇒[tex]CC'= \sqrt{(5)^2+(2)^2}[/tex]

⇒[tex]CC'= \sqrt{25+4}[/tex]

Simplify:

[tex]CC'= \sqrt{29}[/tex]

therefore, the length of CC' is, [tex]\sqrt{29}[/tex] units

Answer:

(f•g)(10)= 606

Step-by-step explanation:

We have been given that

[tex]f(x)=x^2+1\\\\g(x)=x-4[/tex]

We have to find the value of (f•g)(10)

We can write (f•g)(10) = f(10)•g(10)

Let us find the value of the functions at x = 10

[tex]f(10)=10^2+1\\\\f(10)=100+1\\\\f(10)=101[/tex]

And the value of g(10) is

[tex]g(10)=10-4\\\\g(10)=6[/tex]

Hence,

(f•g)(10)

= f(10)•g(10)

= 101×6

= 606

Therefore, (f•g)(10)= 606

Answer:

1. None of these.

2. None of these (Supplementary angles ).

3. Corresponding angles.

4. Alternate exterior angles.

5. Corresponding angles.

Step-by-step explanation:

In figure 1, the two lines are not parallel to each other, therefore we can not establish any relation between both angles. The required option is none of these.

In figure 2, both angles 1 and 2 lie on a straight line, therefore both angles are  supplementary angles and the required option is none of these.

In figure 3, both angles have same relative position, therefore both angles are  corresponding angles.

In figure 4, both angles are on the exterior of and , but on opposite sides of the transversal line, therefore both angles are alternate exterior angle.

In figure 5, both angles have same relative position, therefore both angles are  corresponding angles.

Answer:

the answer is c im pretty sure

Answer:

A IS THE ANSWER

Step-by-step explanation:

A.birch Street is horizontal. A perpendicular street would have to be vertical. Elm Street is not vertical. Birch Street has 0 slope. Elm Street would have to have undefined slope to be perpendicular to Birch Street

The cost of a single burger is $4.75 and that of fries is $2.5.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Given is that → 4 burgers and 3 fries cost $26.50 and 5 burgers and 5 fries cost $36.25.

Assume that the cost of each burger is $x and that of fries is $y. We can write the system of equations as -

4x + 3y = 26.5        ........ Eq[1]

5x + 5y = 36.25       ........... Eq[2]

We can write Eq[2] as -

5x + 5y = 36.25

x + y = 7.25

y = 7.25 - x

So, Eq[1] can be written as -

4x + 3(7.25 - x) = 26.5

4x - 3x + 21.75 = 26.5

x = 26.5 - 21.75

x = 4.75

and

y = 7.25 - x

y = 7.25 - 4.75

y = 2.50

Therefore, the cost of a single burger is $4.75 and that of fries is $2.5.

To solve more questions on expressions, visit the link below -

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Hello there!

We have the slope and a point.

We can use the point-slope formula:

y-y1=m(x-x1)

Plug the point and the slope:

y-8=7(x-1)

y-8=7x-7

y=7x-7+8

y=7x+1

So the answer is Option A

Hope this helps

~Just a gloomy gal

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

B) The local property tax

Step-by-step explanation:

A) The mortgage principal and interest payment - This does not depend on the owner's home value. These depend on the loan amount borrowed from the bank. The monthly payments will be the same irrespective of the owner's home value being going up or down.

B) The local property tax - This is the right answer as the local taxes depend on the prices in the area or neighborhood. Like posh areas have high property taxes.

C) The mortgage interest rate  - This is not right. This depends on the bank that how much interest rate it will give you depending on your credit history.

D) The cost of utilities such as heating and electricity - This is also not right as these costs are standard for a state. Everyone will have the same per unit rates for electricity.

Answer:

32 pounds

Step-by-step explanation:

The percent 312% of 12.5 is 39

Suppose the value of a thing is expressed in percentage is "a'

Suppose the percent that thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus will first divide the whole part in 100 parts and then we multiply it by b so that we collect b items per 100 items.

We need to Write the percent of 12.5 is 39

X%

So, we can rewrite it as

X% x 12.5 = 39

x/100 (12.5) = 39

x = 39/0.125

x = 312

Learn more about percent here:

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Given that an angle is 34 degrees less than its supplementary angle and knowing that supplementary angles add up to 180 degrees, the two angles measure 73 degrees and 107 degrees respectively.

To solve this problem, let's assume that the measure of the supplementary angle is x degrees. Since the angle in question is 34° less than the measure of the supplementary angle, we can set up the equation: x - 34 = the angle in question. Now, since supplementary angles add up to 180°, we can set up another equation: x + (x - 34) = 180. Solving this equation, we find that x = 107°. Therefore, the measure of the supplementary angle is 107° and the angle in question is 107° - 34° = 73°.

An angle measures 34° less than the measure of a supplementary angle. By definition, supplementary angles add up to 180°. Let's call the first angle x. Then the supplementary angle would be x + 34° because it's 34 degrees more than x. Since they are supplementary, the sum of these two angles should be 180 degrees:

x + (x + 34°) = 180°
2x + 34° = 180°
2x = 180° - 34°
2x = 146°
x = 146° / 2
x = 73°

Therefore, the measure of the first angle is 73°, and the measure of its supplementary angle is 107° (73° + 34°).

A polynomial identity is the identity whose left terms gives exactly right side terms.

In order to check if which of those have left side equals right side, we need to expand both side to the simplest step.

A. (a^2+b^2)(c^2+d^2)=(ac-bd)^2+(ad+bc)

We could foil left side (a^2+b^2)(c^2+d^2)

It gives a^2c^2+a^2d^2+b^2c^2+b^2d^2.

Let us expand right side (ac-bd)^2+(ad+bc)

We get (ac-bd)^2 = a^2c^2+b^2d^2-2acbd

(ac-bd)^2+(ad+bc) = a^2c^2+b^2d^2-2acbd +ad+bc

Left side a^2c^2+a^2d^2+b^2c^2+b^2d^2 is not equal to right side a^2c^2+b^2d^2-2acbd +ad+bc.

Therefore, A. (a^2+b^2)(c^2+d^2)=(ac-bd)^2+(ad+bc) is not a polynomial identity.

B. (a+b)^2=a^2+2ab+b^2

Let us expand left side of the identity, we get

(a+b)^2 = a^2 +2ab + b^2.

We got left side a^2 +2ab + b^2 equals right side a^2+2ab+b^2.

Therefore, B. (a+b)^2=a^2+2ab+b^2 is a polynomial identity.

C. a^3-b^3=(a-b)(a^2+ab+b^2)

Let us expand right side of the identity, we get

(a-b)(a^2+ab+b^2) = a^3+a^2b+ab^2-a^2b-ab^2-b^3 = a^3-b^2.

We got left side a^3-b^3 equals right side a^3-b^2.

Therefore, C. a^3-b^3=(a-b)(a^2+ab+b^2) is a polynomial identity.

D. a^2(b+c)=a^3(b/a +c)

Expanding left side

a^2(b+c) = a^2b + a^2c

Expanding right side

a^3(b/a +c) = a^3*b/a + a^3c = a^2b +a^3c.

Left side a^2b + a^2c is not equal to right side a^2b +a^3c.

Therefore, D. a^2(b+c)=a^3(b/a +c) is not a polynomial identity.

The correct answer is D. [tex]\(a^2(b+c)=a^3(b/a+c)\)[/tex] is not a polynomial identity.

To determine which option is not a polynomial identity, let's examine each one:

A. [tex]\( (a^2+b^2)(c^2+d^2)=(ac-bd)^2+(ad+bc)^2 \)[/tex]

 This is a polynomial identity known as the Brahmagupta–Fibonacci identity. It can be verified by expanding the right-hand side and simplifying:

[tex]\( (ac-bd)^2+(ad+bc)^2 = a^2c^2 - 2abcd + b^2d^2 + a^2d^2 + 2abcd + b^2c^2 \)[/tex]

[tex]\( = a^2c^2 + b^2d^2 + a^2d^2 + b^2c^2 \)[/tex]

[tex]\( = a^2(c^2+d^2) + b^2(c^2+d^2) \)[/tex]

[tex]\( = (a^2+b^2)(c^2+d^2) \)[/tex]

B. [tex]\( (a+b)^2=a^2+2ab+b^2 \)[/tex]

This is the well-known square of a binomial, which is a basic algebraic identity.

C.[tex]\( a^3-b^3=(a-b)(a^2+ab+b^2) \)[/tex]

This is the difference of cubes factorization, which is a standard polynomial identity. It can be verified by expanding the right-hand side:

[tex]\( (a-b)(a^2+ab+b^2) = a^3 - a^2b + ab^2 - b^3 \)[/tex]

[tex]\( = a^3 - b^3 \)[/tex]

D.[tex]\( a^2(b+c)=a^3(b/a+c) \)[/tex]

This is not a polynomial identity because when we simplify the right-hand side, we get:

[tex]\( a^3(b/a+c) = a^3(b/a) + a^3c \)[/tex]

[tex]\( = aba^2 + a^3c \)[/tex]

[tex]\( = a^3b + a^3c \)[/tex]

This is not equivalent to the left-hand side, [tex]\( a^2b + a^2c \)[/tex], unless [tex]\( a = 0 \) or \( a^2 = a^3 \)[/tex], which is not true for all values of [tex]\( a \)[/tex]. Therefore, the expression is not a polynomial identity.

The equations are simplified in the standard form will be x - 2y - 20 = 0 and 7x - 9y + 63 = 0.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The standard form is Ax + By + C = 0

The equations are given below.

y = (1/2)x - 10

y - 3 = (7/9)(x + 4)

Convert the equation y = (1/2)x - 10 into a standard form. Then we have

y = (1/2)x - 10

y = (x - 20) / 2

2y = x - 20

x - 2y - 20 = 0

Convert the equation y - 3 = (7/9)(x + 4) into a standard form. Then we have

y - 3 = (7/9)(x + 4)

y - 3 = (7x + 36) / 9

9y - 27 = 7x + 36

7x - 9y + 63 = 0

The equations are simplified in the standard form will be x - 2y - 20 = 0 and 7x - 9y + 63 = 0.

More about the linear equation link is given below.

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To solve this problem yo need to have the "x", the "y", and the radius. To find the radius since it is not given we use the formula.

sq rt(-3^2+1^2)

sq rt(9+1)

sq rt(10) would be the length of the radius in this case.

Then we use the sine cosine and tangent fractions

sin:y/r

cos:x/r

tan:y/x

With the values plugged in the equations are

SIN:1/sqrt(10) Since there can´t be a sq rt in hte denominator we change it to 1(sq rt(10))/10

COS:-3/sqrt(10) Since there can´t be a sq rt in the denominator we change it to -3(sq rt(10))/10

TAN:1/-3 This one can stay the same.

This would be the measures of SIN, COS, and TAN.

Answer:

Sin

Tan

Csc

Cot

Step-by-step explanation:

I just did it on edg

Why is sodium chloride (NaCl) put on icy roads and sidewalks in the winter?

          Your answer would be   

  a) It is ionic and lowers the freezing point of water.

Explanation:

to lower the freezing point so people don't slip

Hope this helps.

Answer:  a) It is  ionic and lowers the freezing point of water.

Freezing point depression is the process of the decrease in the freezing point of a solvent by addition of a non-volatile solute such as salt. The salt is added to the icy roads so as to lower down the freezing point of water and preventing the formation of the ice on the road this phenomena is called as freezing point depression. The ionic components of the salt split apart like Na⁺ and Cl⁻ and interacts with the water molecules which combines to form the solid state ice. Thereby, ions of salt interrupting in the formation of the solid structure that is ice.

Answer:

2.5

Step-by-step explanation:

because is 5 and 5 doesn't have a middle number