How does the value represented by the digit 4 in R compare to the value represented by the digit 4 in T?

R = 4,569
T = 3,490

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Explanation:

Vertex form is

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

We are told the vertex is (3,-2), so we know (h,k) = (3,-2)

y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2

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Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'

y = a(x-3)^2 - 2

3 = a(4-3)^2 - 2

3 = a(1)^2 - 2

3 = a - 2

3+2 = a

5 = a

a = 5

This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.

Answer:55

Step-by-step explanation:addition

Answer:

Step-by-step explanation:

D=5^2-4*(-7)*2

D=25+56

D=81

two real rational solutions, since 81 is a perfect square

The area of the hexagon is the amount of space on it

The area of the hexagon is 374.112 square inches

The perimeter is given as:

P = 72 inches

The length of the hexagon is calculated using:

L = P/6

So, we have:

L =72/6 = 12

The area is then calculated as:

A = 1.5[tex]\sqrt 3[/tex] * L^2

This gives

A = 1.5[tex]\sqrt 3[/tex] * 12^2

Evaluate the product

A = 374.112

Hence, the area of the hexagon is 374.112 square inches

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Answer:

The answer is C/-4.

Step-by-step explanation:

Mark me brainiiest.

Answer:

kn=15

nm=20

Step-by-step explanation:

The lengths of sides KN and NM of the kite

KN =  15   units

NM =   20 units

A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.

Given:

KLMN is a kite.

According to the given kite,

KN = KL........ (1)  

and LM = NM........ (2)

From equation (1)

y + 10 = 2y + 5

y = 5.

Now,

3x -1 = 2x + 6

x = 7

We get,

LM = MN = 20

KN =  15   units

NM =   20 units

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Answer:

A = $ 34,162.89

Step-by-step explanation:

A = $ 34,162.89

A = P + I where

P (principal) = $ 20,000.00

I (interest) = $ 14,162.89

Compound Interest Equation

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

34,162.89

Step-by-step explanation:

Answer:

Probably b or e

Step-by-step explanation:

this took me a while to answer this.

Answer:

Step-by-step explanation:

                        Statements                                    Reasons

1). M is the midpoint of segment AB        1). Given

   B is the midpoint of segment MD      

2). AM = MB and MB = BD                        2). Definition of midpoint

3). MD = MB + BD                                      3). Segment Addition Postulate

4). MD = MB + MB                                     4). Substitution property of of Equality

5). MD = 2MB                                            5). Simplify

Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB

Answer:

A) 24*m + 40 ≤ 256

B) She could leave the house running for at most 9 minutes

Step-by-step explanation:

The missing questions are:

Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.

Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.

A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:

24*m + 40 ≤ 256

B)  Solving the previous equation:

24*m ≤ 256 - 40

m ≤ 216/24

m ≤ 9

Answer:

The distance that Peter rides is:

Step-by-step explanation:

To identify the miles that Peter rides, you must imagine the triangle with measures: 3.36 miles, 4.18 miles, and 5.61 miles. How you can suppose, Peter regularly rides exactly by each side of the triangle mentioned, then you must find the perimeter of the triangle to identify the miles that Peter rides, remember that the perimeter of an irregular triangle is:

If you replace the formula, you obtain:

Answer:

30 in

Step-by-step explanation:

idk how to explain, so yea:)

A. 3 Gallons

Step-by-step explanation:

1/3÷1/9

1/3÷1/9=1/3 x 9/1

(Then Multiply)

1x9/3x1= 9/3= 3

3 Gallons of paint

3 Galoons of paint is needed to pain the total gate.

Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.

Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,

Since,

1/3 gallons of paint is = 1/9 part of the gate,

Therefore,

1 gate = 1/3 x 9 = 3

Hence 3 Galoons of paint is needed to pain the total gate.

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Answer:

63.6

Step-by-step explanation:

[tex]\sqrt{45^{2} + 45^{2}} = \sqrt{4050}[/tex]

Answer:

-8(-12) = 96

Step-by-step explanation:

The word product, in mathematical terms, is the answer you get after multiplying something. So, to find the product of -8(-12), you have to multiply. A negative times a negative is equal to a positive, so -8 times -12 is equal to positive 96.

Answer:

I don't know if it's too advanced for you but you could use the arctangent function.

[tex]tan (x)=\frac{15}{8}\\ x=tan^{-1}(\frac{15}{8} )\\x= 61.9275[/tex]

Answer:

Step-by-step explanation:

This is a linear pair, whose sum always equals 180 degrees,

hence, we can set up the equation:

2z+140=180

2z=180-140

2z=40

z=40/2

z=20

Thus, the answer is 20 degrees

Answer:

z = 20°

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

2z+ 140 = 180

Subtract 140 from each side

2z+140-140 = 180-140

2z = 40

Divide by 2

2z/2 = 40/2

z = 20

Answer:

Step-by-step explanation:

24=8×3

sum of digits is divisible by 3

and last three digits are divisible by  8.

3+8+3+6=20

if we add 1 then sum=21 which is divisible by 3,also 136 is divisible by 8

so 38136 is divisible by 24.

other number is  38736

Answer:

t = 25

Step-by-step explanation:

t - 10 + t = 40

2t = 40+10

2t = 50

t = 50/2

t = 25

Hope this helps.

Answer:

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

Answer:

Addition property of equality

Step-by-step explanation:

Answer:

  The correct asnwer for this question is C. addition property of equailty

Hope this helps, and have a wonderful day! :)

Step-by-step explanation:

Answer: here's the answer

Answer:

Step-by-step explanation:

[tex]\frac{a}{b} =\frac{c}{d}[/tex]

another way to write the equality of the two ratios is :

a : b = c : d

as you can see in the equality a : b = c : d

The answer is A.) (x + 4)^2 = 23

Proof that I am correct

Answer:

x=6

Step-by-step explanation:

(2+x)+1=2x-3

3+x=2x-3 .     Combine like terms

6+x=2x          Add 3 to both sides

x=6                Subtract X from both sides

Answer:

Step-by-step explanation:

[tex](\frac{5}{7}-4)2+3+11=(\frac{5}{7}-\frac{4*7}{7})2+3+11\\\\=(\frac{5}{7}-\frac{28}{7})2+3+11\\\\=(\frac{-23}{7})2+3+11\\\\=\frac{-46}{7}+3+11\\\\=\frac{-46}{7}+14\\\\=\frac{-46}{7}+\frac{14*7}{1*7}\\\\=\frac{-46}{7}+\frac{98}{7}\\\\=\frac{-46+98}{7}\\\\=\frac{52}{7}\\\\=7\frac{3}{7}[/tex]

Answer:

A(r)=15-3r

Step-by-step explanation:

switch the sign of 3r to make it -3r