reflection across y = 1
C(-1, 1), D(3, 4), E(4,0)

(Honors Geometry- 30 points!!!)

Answer:

3y

Step-by-step explanation:

First find the factors of the terms.  You need to then figure out how many factors match.

-9y² = -1 · 3 · 3 · y · y

6y = 2 · 3 · y

3y is the greatest common factor.

Answer:

17

Step-by-step explanation:

f(x) = 3•2^x

h(x) = 2x-7

f(2) = 3•2^2

= 3•4

= 12

h(f(2)) = 2(12) - 7

= 24 - 7

= 17

Answer:

Children = 51

Adults = 42

Students= 84

Step-by-step explanation:

Children = $2

Students = $3

Adults = $4

Total sales = $522

Total people who attended = 177

Adults =a

Students = s= 2a

Children = c

c+s+a = 177 (1)

2c+3s+4a=522 (2)

Substitute s=2a into the equations

c + 2a + a = 177

c + 3a = 177 (3)

2c + 3(2a) + 4a = 522

2c + 6a + 4a = 522

2c + 10a = 522 (4)

c + 3a = 177 (3)

2c + 10a = 522 (4)

Multiply (3) by 2

2c + 6a = 354 (3b)

2c + 10a = 522

Subtract (3b) from (4)

10a - 6a = 522 - 354

4a = 168

Divide both sides by 4

a= 168/4

= 42

a= 42

s= 2a

= 2(42)

= 84

s= 84

Substitute the value of s and a into (1)

c+s+a = 177 (1)

c + 84 + 42 = 177

c + 126 = 177

c = 177 - 126

= 51

c=51

Children = 51

Adults = 42

Students= 84

Answer:

This may be incomplete, i will try to answer this in a general way.

We have 4 bottles, A, B, C and D.

If A is the volume of Bottle A, B is the volume of bottle B, C is the volume of bottle C, and D is the volume of bottle D, we have that:

A = B + 3L.

D = A + 5L

C = A - 3L.

Let's solve this system the most we can (we can not fully solve the system because we have more variables than equations)

First, taking the third equation and adding 3L in both sides, we have:

C + 3L = A.

This is equivalent to the first equation, so we have that C = B.

now, we have two equations:

A = B  + 3L

D = A + 5L

We can replace the first equation into the second equation and get:

D = A + 5L = (B + 3L) + 5L = B + 8L

So bottle D can hold 8L more juice than bottle B (and because bottle B and bottle C have the same volume, bottle D can hold 8L more juice than bottle C)

Now, we can order the bottles depending on the volume:

Bottle D is the one with larger volume.

Bottle A comes next.

Bottles C and B are the smaller ones, and they are together because they have the same volume.

Hello!

Answer:

[tex]\huge\boxed{x = 1/2, 9/2}[/tex]

|2x - 5| = 4

Solve for the negative and positive expressions:

2x - 5 = 4

2x = 9

x = 9/2

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

-(2x - 5) = 4

-2x + 5 = 4

-2x = -1

x = 1/2.

Therefore, the solutions are x = 1/2 and 9/2.

Answer:true

You will be using 2 operations

Answer:

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Step-by-step explanation:

i don't have an explanation though

Answer:

The theory of midpoint theorem is used in coordinate geometry stating that the midpoint of the line segment is an average of the endpoints. Both the ‘x’ and the ‘y’ coordinates must be known for solving an equation using this theorem. The Mid- Point Theorem is also useful in the fields of calculus and algebra.

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

First term 8. I am a 100% sure.

Hope this helps....

Have a nice day!!!!

Answer:

46

y = 3 /5x +26

y =?

X= 12

y=3 /5x + 26

y= 3 / 5 × 12 + 26

y = 3 / 60 + 26

y = 20 + 26

y = 46 ans

Answer:

Hey there!

The sweater is selling for 85% of the original price

0.85(18)=15.30

1.08(15.30)=16.52

Let me know if this helps :)

The solution is Option C.

The total cost of the sweater is $ 16.52

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the original cost of the sweater be = $ 18

Let the sales tax percentage be = 8 %

Let the discount of the sweater be = 15 %

So , the equation for the total cost of the sweater is

The cost of the sweater after discount of 15 % is = original cost of the sweater - discount of the sweater x original cost

The cost of the sweater after discount of 15 % is = 18 - ( 15/100 ) x 18

                                                                                = 18 - 0.15 x 18

                                                                                = 18 - 2.7

                                                                                = $ 15.3

Now , the cost of the sweater after sales tax of 8 % is = cost of the sweater after discount + sales tax percentage x cost of the sweater after discount

So , the equation is

The cost of the sweater after sales tax of 8 % is = 15.3 + ( 8/100 ) x 15.3

                                                                                = 15.3 + 0.08 x 15.3

                                                                                = 15.3 + 1.224

                                                                                = $ 16.524

Hence , the total cost of the sweater is $ 16.52

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

The total number of nails in Susan's box is 660 nails

Step-by-step explanation:

The given parameters are;

The number of small nails in John's box = 65

The number of medium nails in John's box = 40

The number of large nails in John's box = 45

The number of medium nails in Susan's box = 176

The ratio of the nails in John's box  is given as follows;

The ratio of small nails in John's box = 65/(65 + 40 + 45) = 13/30

The ratio of medium nails in John's box = 40/(65 + 40 + 45) = 4/15 = 8/30

The ratio of large nails  in John's box = 45/(65 + 40 + 45) = 3/10 = 9/30

Given that the proportion of the nails in John's box and Susan's box are the same, we have;

The ratio of medium nails in Susan's box =  8/30

Therefore;

Where the total number of nails in Susan's box = X, we have;

8/30 × X = 176

X = 176 × 30/8 = 660 nails

The total number of nails in Susan's box = 660 nails.

Using proportions, it is found that the total number of nails in Susan's box was 660.

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

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

Since the proportions are equal:

[tex]\frac{40}{150} = \frac{176}{x}[/tex]

[tex]40x = 150\times176[/tex]

[tex]x = \frac{150\times176}{40}[/tex]

[tex]x = 660[/tex]

The total number of nails in Susan's box was 660.

A similar problem is given at https://brainly.com/question/19905617

The Distributive property states that when we have the statement a(b + c), we can "distribute" the a by multiplying a times both terms that are inside the parenthses.

So in this problem, 2(5 + 7) can be simplified by distributing the

2 through both terms that are inside the set of parenthses.

So we have (2 · 5) + (2 · 7).

Answer:

Distributive Property

Step-by-step explanation:

You are distributing the 2 to the 5 and 7. which goes from 2(5+7) to 10+14.  

Answer:

The answer is 4

Step-by-step explanation:

1+1+1+1=4

Answer:

Original Medicare comes in two parts. Medicare Part A covers hospital services, skilled nursing facility care, hospice, and some home health care. Medicare Part B covers medical services, including doctor visits, preventive screenings, certain vaccinations, lab tests, and durable medical equipment.

Answer:

Step-by-step explanation:

Given,

Radius ( r ) = 2 mm

pi ( π ) = 3.14

Finding the area of circle having radius of 2 mm

Area of circle [tex] \sf{ = \pi \: {r}^{2} }[/tex]

plug the values

⇒[tex] \sf{3.14 \times {2}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{3.14 \times 4}[/tex]

Multiply the numbers

⇒[tex] \sf{12.56 \: {mm}^{2} }[/tex]

Hope I helped!

Best regards!!

Answer:

Step-by-step explanation:

The question is on the mensuration of solids, a cylinder

Given data

height of cylinder h= 4 cm

diameter d= 9 cm

radius = d/2= 9/2= 4.5 cm

we know that the surface area of cylinder is

[tex]SA= 2\pi r h+ 2\pi r^2[/tex]

Substituting our data into the expression we have

[tex]SA= 2*3.142 *4.5* 4+ 2*3.142 4.5^2[/tex]

[tex]SA= 113.12+ 127.25\\\\SA= 240.37 cm^2[/tex]

Therefore the total surface area is 240.37 cm^2

Answer:

c and d

Step-by-step explanation:

Answer:

C AND D

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                     PEACE!

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b

Given

y + 5 = 4(x + 2) ← distribute the parenthesis

y + 5 = 4x + 8 ( subtract 5 from both sides )

y = 4x + 3 ← in slope- intercept form

Answer: The best answers are :

Step-by-step explanation:

I hope it helps :)

Answer:

a and c

Step-by-step explanation:

Answer:

The height of the spire must be 69.24 m

Step-by-step explanation:

The information given are;

The initial angle of elevation of the tip of the spire from the tip of the shadow = 25°

The  angle of elevation of the tip of the spire from the tip of the shadow after moving 100 m closer = 55°

The change distance moved closer to the church spire = 100 m

Let the base angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow be 25° and ∠x°

We have;

∠x° and the 55° angle of the ray from the tip of the spire to the tip of the shadow are supplementary angles (angle on a straight line)

Therefore;

∠x° = 180° - 55° = 125°

The calculated angle 125° above, the given 25° and the angle in between the two rays from the tip of the spire to the tip of the shadows are the interior angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow

Let the angle in between the two rays from the tip of the spire to the tip of the shadows = y

Therefore;

125° + y° + 25° = 180 (Angle sum theorem)

y° = 180° - (125° + 25°) = 30°

By sin rule, we have;

100/(sin (30°)) = (The length of the initial ray from the tip of the spire to the tip of the shadow before the shift)/(sin(125°))

Let the length of the initial ray from the tip of the spire to the tip of the shadow before the shift = l

100/(sin (30°)) = l/(sin(125°))

l = (sin(125°))×100/(sin (30°)) = 163.83 m

The height of the spire, by trigonometric ratio = sin(25°) × 163.83 m = 69.24 m

The height of the spire = 69.24 m.

Answer:

-2y +29

Step-by-step explanation:

Answer:

-2y+29

Step-by-step explanation:

Answer:

89.76 yd^2

Step-by-step explanation:

The area is given by

A = bh

A = 10.2 * 8.8

A =89.76 yd^2

Answer:

3720087

Step-by-step explanation:

Given that,

A geometric sequence : 567,-189,63

First term is : 567

Common ratio : 567/-189 = -3

The nth term of a GP is given by :

[tex]a_n=ar^{n-1}[/tex]

n = 9

So,

[tex]a_9=567\times (-3)^{9-1}\\\\a_9=3720087[/tex]

So, the 9th term of the geometric sequence is 3720087.

I'm assuming you were given these four values

50.1,  -50/2, -50.1, sqrt(50)

where 'sqrt' stands for 'square root', and the slash symbol means divide or fraction.

If my assumption is correct, then the term that does not belong is sqrt(50). This is because the other values are all rational. We can express them as a fraction of two whole numbers

But we can't do the same with sqrt(50). It is irrational. Note how 50 is not a perfect square. Your calculator will show that sqrt(50) = 7.07106781186548 and that decimal sequence goes on forever without any pattern. If you were given sqrt(49), then it would work because sqrt(49) = 7 = 7/1.

Answer:

Equation: 5.88/3=p-0.75

The original price for apples was $1.21

Step-by-step explanation:

Equation explanation:

$5.88 divided by 3 pounds of apples = the original price per pound - the $0.75 increase in price

$5.88 for 3 pounds of apples

we divide 5.88 by 3 to see how much money it was per pound

5.88/3=1.96

subtract 1.96 from the price increase of .75

1.96-.75=1.21

Answer:

x^2 + 14x + 40.

Step-by-step explanation:

(x+4) (x+10)

= x(x + 10) + 4(x + 10)     ( By the Distributive Law)

= x^2 + 10x + 4x + 40

= x^2 + 14x + 40.

Answer:

x^2+14x+40

Step-by-step explanation:

xx+x*10+4x+4*10= xx+10x+4x+4*10

Then simplify

x^2+14x+40

I hope this helps!

Answer: i) Q=7*P   ii) if P=5 => Q=35 iii) if Q=42 => P=6

Step-by-step explanation:

Q is directly prportional to P that means that

Q/P=k=const ( where k is the prportionality coefficient)

So k= 28/4=7

So i)  Q= 7*P

ii) Q=5*7=35 if P=5 =>Q=35

iii) P=42/7=6   if Q=42 => P=6

Answer:

1m

Step-by-step explanation:

That would be 1 m.

1 is the only whole number which divides exactly into 5, 8 and 12.

Answer:

(6+a)/3

Step-by-step explanation:

(6+a)/5-3

5-3=2

(6+a)/2