Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!


Topic: Perpendicular to Chord Property

Answer:

Step-by-step explanation:

Given the amount to keep one adult in a day to be x

Since 7 days = 1 week

Amount it will take to keep one adult for a week will be 7x

one adult = 7x pounds

To get the expression that show how much it costs per week to keep the 8 adults, we will say;

8 adults = y pounds

where y is the required amount

Solving both expressions

one adult = 7x pounds

8 adults = y pounds

Cross multiply

1 * y = 7x * 8

y = 56x

Hence the required expression is y = 56x

Answer:

A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:

x1,y1= (-2, 4)

x2,y2= (-1,1)

To make the angle 90 degrees, there is two possible third point coordinate:

1. x1, y2 = (-2,1)

2. x2, y1= (-1,4)

The right triangle would be option C: (-2,1)

Option A and B is not a right triangle

Step-by-step explanation:

Answer:

the coordinates of vertex E is (6,0)

C(2,0),compare this to(2,4)

same x.but y=0

(6,0)comparing to (6,12)

we get it

Answer:

12 - B

13 - No

14 - for every 2 feet of rope he pays about $1.50

hope this helps

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

Find the diagram attached

From the diagram, the sum of angle of the straight line BCD is 180°. Hence;

<BCE+<ECF<90 = 180

<BCE+64+90=180

<BCE+154 = 180

<BCE = 180-154

<BCE = 26°

Next is to get x.

The sum of interior angles <BCE and <BEC is equal to exterior angle <ABE

<BCE + <BEC = <ABE

26+x = 3x

Collect like terms

26 =3x-x

26=2x

x = 26/2

x = 13

Hence the value of x is 13

Answer:

See below

Step-by-step explanation:

Statement                                      | Reason                                            

1. m∠A + m∠B + m∠C = 180°         | 1.  Angles in a triangle sum to 180°

2. 28° + x - 4° + 2x = 180°              | 2. Substitution

3. x=(180° - 24°)/3= 156°/3°= 52°   | 3. Algebra

Answer:

-3/2x +2

Step-by-step explanation:

To find slope: y value - y value over x value - x value

5-(-4) = 9

-2 -4 = -6

9/-6 = -3/2 after you divide each by gcf of 3

y intercept : plug in your y and x values (and your slope ) into the equation: y = mx+b (slope intercept form)

point 1 (-2,5): 5 = (-3/2)(-2)+b

                     5 = 3+b (subtract 3 from both sides)

                      2 = b (your y intercept)

Answer: y=[tex]\frac{-3}{2}[/tex]x+2

Step-by-step explanation:

1. Find the slope of the two coordinates by using the slope-intercept form:

    Slope intercept form=(y₂-y₁)/(x₂-x₁)

    (-4-5)/(4-(-2))

    (-9)/(4+2)

    -9/6 or -3/2

2. Now that we have the slope for these two coordinates, plug them into the point-slope formula.

    Equation for point-slope: y-y₁=m(x-x₁), where m=slope

    y-5=[tex]\frac{-3}{2}[/tex](x-(-2)

    y-5=[tex]\frac{-3}{2}[/tex](x+2)

    y-5=[tex]\frac{-3}{2}[/tex]x-[tex]\frac{6}{2}[/tex]

    y-5=[tex]\frac{-3}{2}[/tex]x-3

(Add 5 to both sides)

    y=[tex]\frac{-3}{2}[/tex]x+2

Answer:

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

Answer:

x = 0

Step-by-step explanation:

In order to solve for x, first combine both fractions on the left

To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4

It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:

8x+24/32

Multiply 4x-2/8 by 4, you will get:

16x-8/32

Now you can add 16x-8/32 + 8x+24/32, you would get:

24x+16/32

Now you can start to solve for x

Your new equation is 24x+16/32 = 1/2

To solve for x, first multiply diagonally, then solve like a regular equation.

Multiply 24x+16 by 2 to get 48x+32

Then multiply 32 by 1 to get 32

Your new equation is 48x+32=32

Now subtract 32 by 32 to get 48x=0

Now divide 48 by 0 to get x=0

Step-by-step explanation:

yes I am how about you, I always get stuck on my assignments

Answer:

Finding a tutor for mathematics? If that's the problem

Step-by-step explanation:

Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc

Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...

I have always had problems with math so I am sorry if it doesn't work out for you

Answer:

x=-14-y/2

Step-by-step explanation:

divide both sides by -2

-2(2x+y)/-2=28/2

simplify

2x+y=-14

subtract y from both sides

2x+y-y=-14-y

simplify

2x=-14-y

divide both sides by 2

2x/2=-14/2-y/2

simplfy

x=-14-y/2

Answer:

25,000,000

Step-by-step explanation:

5*5=25 and add the 6 zeros

please give thanks :)

Answer:

well for me

Step-by-step explanation:

I think

=25000000

Answer:

x = 5

Step-by-step explanation:

Step-by-step explanation:

Since CD is the perpendicular bisector of AB, AD = DB.

Hence 6x - 2 = 2x + 18 and x = 5.

Answer:

any number greater than 5 (so 6 and 8)

Step-by-step explanation:

since the expression on the left is supposed to be greater than 7, 5 cant be an answer because that will equal to 7. Therefore any number greater than 5 will work.

Answer:

Kindly check explanation

Step-by-step explanation:

When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.

To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.

For instance :

6.32 - 0.5

Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.

____6.32

- ___0.5

________

___ 5.82

________

Answer:

5744. 61 cents

Step-by-step explanation:

5744. 61 cents

Because:

Explanation:

after 1 year:

20700×89%=18423

after 2 years:

18423×89%=16396.47

after 3 years:

16396.47×89%=14592.8583

after 4 years:

14592.8583×89%=12987.64389

after 5 years:

12987.64389×89%=11559.00306

after 6 years:

11559.00306×89%=10287.51272

after 7 years:

10287.51272×89%=9155.886323

after 8 years:

9155.886323×89%=8148.738828

after 9 years:

8148.738828×89%=7252.377557

after 10 years:

7252.37757×89%=6454.616026

after 11 years:

6454.616026×89%=5744.608263

~5744.61 (nearest cent)

Answer:

your answer is $42

Step-by-step explanation:

for $42 you could get 6 tickets for 42 you could get 6 tickets so your answer is letter c

Answer:

Step-by-step explanation:

Think of the equation y = mx + b

So the m is the slope and the b is the y-intercept

m/slope= 3 b/y-intercept= -1

Responder:

125 pesos

Explicación paso a paso:

Dado el ingreso total l (v) obtenido de la venta de lápices por la función

Yo (v) = - 2v ^ 2 + 500v

v es el precio de venta de cada lápiz

Para que el ingreso total sea máximo, entonces dI / dv debe ser cero, es decir, dI / dv = 0

dI / dv = -4v + 500

Dado que dI / dv = 0

0 = -4v + 500

4v = 500

Dividir entre 4

4v / 4 = 500/4

v = 125

De ahí que el precio de venta de cada lápiz sea para que el ingreso total sea máximo es de 125 pesos

Answer:

8.8

Step-by-step explanation:

Answer:1,332

Step-by-step explanation:

Answer:

DFBG

Step-by-step explanation:

At any point in time;

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

1. (3,19) and ((-1,-13)

m = (-13-19)/-1-3 = -32/-4 = 8

Letter here is D

2. we pick out two points to use here from the line

These are ((0,1) and (2,5)

Slope is ;

(5-1)/2-0 = 4/2 = 2

Letter here is F

3. We pick any two points

(1,-8) and (4,-32)

slope =

(-32 + 8)/4-1 = -24/3 = -8

Letter here is B

4. Slope = 8 + 10/0-9 = 18/-9 = -2

letter here is G

Answer:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

For the particular case of horizontal lines, those will be of the form:

y = constant.

The vertical lines will be of the form:

x = constant.

Let's start with line a, this is a vertical line, then will be:

x = constant.

To see the value of the constant, you need to see in which point it intersects the x-axis, in this case is in -4, then line a will be:

x = -4

For line b we have the same reasoning, in this case the line intersects the x-axis at x = 4, then line b is: x = 4.

Now for the horizontal lines:

Line c will be of the form:

y = constant

To find the value of the constant you need to see in which point the line intersects the y-axis.

In this case the line intersects the axis at y = 4.

Then this line can be written as: y = 4

For line d, we can see that it intersects the y-axis at -2, then this line will be written as:

y = -2.

For the case of line e we can use the first thing we wrote, let's find two points that belong to this line.

(0 , 1) and (4, -2)

Then the slope will be:

a = (-2 - 1)/(4 - 0) = -3/4

y = -(3/4)*x + b

To find the value of b, we can just replace the values of one of the points in the equation. I will use the point (0, 1), this means that we must replace x by 0, and y by 1.

1 = -(3/4)*0 + b

1 = b

Then the equation for line e is:

y = -(3/4)*x + 1.