use pie=3.14 to estimate the unknown measures for each circle.c=132 ind=r=A=I'll upload a picture

ThereforeGiven the image, we can find the missing angle using the sum of angles at a point rule.

The sum of angles at a point is known to be 360 degrees.

Therfore,

Therefore, the measure of "a" is

Answer:

The Greeks limited themselves to using only compass and ruler in their formal geometric constructions.

Answer: Options B and D.

If the graph of a function y = f(x) is such that no horizontal line intersects the graph at more than one point, then f has an inverse function.

A. The absolute value function f(x) = | x | is intersected twice by any horizontal line at y > 0. Thus this function does not have an inverse

B. The quadratic function f(x) = x^2 has a graph called parabola. If we plot any horizontal line at y>0, that line will intersect the function twice. This function has no inverse function

I would loan my money to the one who pays the compound interest.

This is because more money would be generated from the compound interest as it is based on the principal (Amount loaned) and also the interest generated from the loan. Unlike simple interest that is only based on the principal.

SOLUTION

From the question, the Perimeter of the rectangle is 19.4 cm and we want to find the width. The perimeter of a rectangle is given by

Applying this, we have

Hence the width is 3.7 cm, option C

The slope in the equations represent the change in temperature by the change in lattitude. This means that for each unit change in the latitude the temperature will decrease by an amount given by the slope.

If f(x) is a linear function and gives f(3) = 3 and f(9) = -2

Part a

The slope of the line = -5/6

Part b

The y-intercept = 11/2

Part c

f(x) = (-5/6)x + 11/2

The values of

f(3) = 3

f(9) = -2

The points are (3,3) and (9,-2)

Part a

The slope of the line is the change in y coordinate with respect to the change in x coordinate.
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

= [tex]\frac{-2-3}{9-3}[/tex]

=-5/6

Part b

The slope intercept form of the line

y = mx+b

b is the y intercept

Substitute the values in the equation

3 = (-5/6)×3 + b

3= -5/2 + b

b = 11/2

Part c

Then the linear function f(x) = (-5/6)x + 11/2

Hence, if f(x) is a linear function and gives f(3) = 3 and f(9) = -2

Part a

The slope of the line = -5/6

Part b

The y-intercept = 11/2

Part c

f(x) = (-5/6)x + 11/2

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In the given figure we can observe a triangle with vertices located at:

(-3,-2)

(-5,-4)

(1,-5).

We need to draw it after a 90° clockwise rotation.

We can apply the rule for 90° clockwise rotation, which is:

Each point of the given figure has to be changed from (x, y) to (y, -x) and then we need to graph the new coordinates.

By applying the rule to the given coordinates we obtain:

Now we have to draw the new coordinates:

The property involved is called "commutative property of product"

SInce we are flipping the oerder of the factors and arrive at the same result.

The "flipping is called "commuting" in Math terms.

we have the equation

y=x^2-6x+2

this equation represents a vertical parabola open upward (because the leading coefficient is positive)

that means

the vertex is a minimum

Convert to vertex form

y=a(x-h)^2+k

where

(h,k) is the vertex

Complete the square

y=(x^2-6x+9)+2-9

y=(x-3)^2-7

therefore

the vertex is (3,-7)

Let the number of hours be x,

Initial fee is $50,

Amount charged per hour is $8

The charge for a number of x hours is'

The total amount Esmeralda has is $150,

Therefore,

Solving for x to find the greates number of hours,

Hence, the greates number of hours is 12.5 hours.

Option B is the right answe

The length of the line segment from a to b is 6.08 units or [tex]\sqrt{37}[/tex] units.

The length is described as the distance between the two points in a line. The coordinate usually refers to the dimensions of the point with respect to the two dimension graph.

Relation between the coordinates and length:  [tex]\sqrt{(x_{1} -x_{2}) ^{2} +(y_{1} -y_{2} )^{2} }[/tex]

Now let point a be ([tex]x_{1},y_{1}[/tex]) and point b be ([tex]x_{2},y_{2}[/tex])

Thus putting values,

length = [tex]\sqrt{(3-(-3))^{2}+(4-3)^{2} }[/tex]

length = [tex]\sqrt{36+1}[/tex]    

length = [tex]\sqrt{37}[/tex]

Hence the length of ab is [tex]\sqrt{37}[/tex] or 6.08 units.

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7. The figure has line and rotational symmetries. There are 2 lines of symmetry. The angle of symmetry is 180°

8. The figure has no symmetry

To calculate which value in Celsius the temperature of 5 Fº equates to, we first need to rewrite the expression isolating the "C" variable on the left side.

We now need to replace F by 5.

The temperature is -15 degrees in Celsius.

Answer:

Step-by-step explanation:

18098

Adam had $200

He spent $75 on clothes and $55 on video game

The total money spent by Adam is

The amount left with Adam is

Then his mom gave him $20

The total amount of money Adam have now is

Hence, the answer is $90

Given:

Line equation, y=1+4x

The point, (1,2)

To find the slope intercept form:

The general slope intercept form is, y=mx+b.

First to find m:

From the line equation,

y=4x+1

We have, m=4

Next to find b:

Substitute m=4, and (1,2) in the general intercept form is,

Now, substitute m=4 and b=-2 in the slope intercept form

Thus, the slope intercept form is,

Answer:

b = -2

Step-by-step explanation:

y = mx + b;         (-2, 4)

y = -3x + b          (x₁, y₁)

m = -3

y - y₁ = m(x - x₁)

y - 4 = -3(x -( -2))

y - 4 = -3(x + 2)

y - 4 = -3x - 6

   +4           +4

------------------------

y = -3x - 2

I hope this helps!

The values of f(0), f(2) and f(-2) for the polynomial f(x) = [tex]-x^{3} +7x^{2} -2x+12[/tex] are 12, 28 and 52 respectively.

According to the question,

We have the following information:

f(x) = [tex]-x^{3} +7x^{2} -2x+12[/tex]

Now, to find the value of f(0), we will put 0 in place of x.

f(0) = [tex]-0^{3} +7(0)^{2} -2(0)+12[/tex]

f(0) = 0+7*0-0+12

(When a number has some power then it means that in order to solve this we have expand the expression and multiply the number as many times as the power is given. For example, in the case of 3 as power, we will multiply any number 3 times and in case of 2 as power, we will multiply the given number 2 times.)

f(0) = 0+0-0+12

f(0) = 12

Now, to find the value of f(2), we will put 1 in place of x:

f(2) = [tex]-2^{3} +7(2)^{2} -2(2)+12[/tex]

f(2) = -8+7*4-4+12

f(2) = -8+28-4+12

f(2) = 40 -12

f(2) = 28

Now, to find the value of f(2), we will put -2 in place of x:

f(-2) = [tex]-(-2)^{3} +7(-2)^{2} -2(-2)+12[/tex]

f(-2) = -(-8) + 7*4+4+12

f(-2) = 8+28+4+12

f(-2) = 52

Hence, the value of f(0) is 12, f(2) is 28 and f(-2) is 52.

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to know y -intercept we only need to replace x by 0. And we get

so the y-intercept is 9

ANSWER

Rational number and Real number

EXPLANATION

We want to identify what type of number -3.7 is.

A natural number is a number that is a positive integer, used in counting things. Examples are 4, 7 and 55.

A whole number is a number that is used in counting, including 0 i.e. natural numbers including 0.

An integer is a whole number but the difference is that an integer can be positive, negative or zero.

A rational number is a number that can be expressed as a fraction of two integers i.e. a/b while an irrational number is one that cannot be expressed as a fraction of two integers.

A real number is any number that can be found as a distance between two points on the number line.

From the definitions above, we see that we can classify -3.7 as a rational number and a real number.

It is not a natural number, whole number, irrational number or an integer.

If a random number generator is used to select an integer from 1 to 100, then the probability of selecting the integer 730 is zero.

Here a random number generator is used to select an integer from 1 to 100.

Therefore the range of the outcome = 1 to 100

Here we have to find the probability of selecting the integer 730

The probability = Number of favorable outcomes / Total number of outcomes.

Here a random number generator is used to select an integer from 1 to 100, but the given number is 730  which is out of range. Therefore the probability is zero

Hence, if a random number generator is used to select an integer from 1 to 100, then the probability of selecting the integer 730 is zero.

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Let us first understand what are discrete and continuous variables.

Discrete variable:

A discrete variable is countable in a finite amount of time.

For example:

The number of coins in your pocket

The number of trees in the garden

It is not possible to have 2.5 coins or 7.3 trees

Continuous variable:

A continuous variable can take any numeric value.

For example:

The height of the tree

The room temperature

These values can be in decimal like 7.3, 0.23 etc

Now let us come to the question, the distance a person has driven can take any value

for example, it can be 50 miles or 23.4 miles or 120.5 miles

So, decimal values are possible

This means that it must be a continuous graph

The distance a person has driven over time an example of a continuous graph.

Answer

x = 2, and y = 3

Explanation:

given the following linear equation

7x - 6y = -4------------- equation 1

14x + 5y = 43 ---------- equation 2

This equation can be solve simultaneously by using elimination method

Step 1 : eliminate x

To eliminate x, multiply equation 1 by 2 qnd equation 2 by 1

7x * 2 - 6y * 2 = -4 * 2

14x * 1 + 5y * 1 = 43 * 1

14x - 12y = -8 ----------------- equation 3

14x + 5y = 43------------------ equation 4

Substract equation 4 from3

(14x - 14x) - 12 - 5y = -8 - 43

0 - 17y = -51

-17y = -51

Divide both sides by -17

-17y/-17 = -51/-17

y = 51/17

y = 3

To find x, put the value of y into equation 1

7x - 6y = -4

7x - 6(3) = -4

7x - 18 = -4

Collect the like terms

7x = -4 + 18

7x = 14

Divide both sides by 7

7x/7 = 14/7

x = 2

Therefore, x = 2 and y = 3

The graph of the functions f and g are given.

It is required to complete the statement concerning how to produce g.

The graph of the parent function f is shown:

Reflect the graph of f across the x-axis:

Translate the function 5 units vertically upwards:

The given parent function is y=f(x).

Reflect the graph across in the x-axis to get the equation y=-f(x).

Translate the graph 5 units up to get y=-f(x)+5

Answers:

To produce g, the function f was reflected over the x-axis and shifted up 5 units.

Function g is defined as g(x)=-f(x)+5.

Given,

We have,

when,

The zeros of the function are x=-3,-3,-3

Tangent segment, of a circle

Apply formulas

20^2 - 15^ 2 = AB^2

Also

15^2 = 20•( 20 - AB)

225 = 400 - 20AB

Then

20AB = 400-225= 175

AB = √ 175= 13 + 6/25 =13.24

Ready

Points A = (-5, -2) C = (7, 2) E = (1, 0)

1.- Find the slope

m = (y2 - y1) / (x2 - x1)

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

m = 4/ 12

m = 1/3

2.- Find the equation of the line

y - y1 = m(x - x1)

y + 2 = 1/3(x + 5)

y + 2 = 1/3x + 5/3

y = 1/3x + 5/3 - 2

y = 1/3 x + 5/3 - 6/3

This is the equation:

y = 1/3 x - 1/3

my pleausre

Step 1

Given;

Step 2

Answer;

Compound interest with addition formula:

where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

PMT = Regular contributions (additional money added to investment)

in this example

P = 2500

r = 8% = 0.08

n = 4

t = 5 years

PMT = 2500

solving for A:

Therefore, his investment after 5 years will be

$189,408.29