Can someone help assist me on this Honors Algebra 2 Problem? Challenge Problems #6. The distance from a point on the curve y=√x to the point (2,0) is equal to 2 at what points on the curve? (Hint: Draw a picture.)

Answer:

The correct option is;

[tex]\overline{AB}\cong \overline{DB}[/tex]  and  [tex]\overline{AC}\cong \overline{DC}[/tex]

Step-by-step explanation:

The steps to prove that ΔABC ≅ ΔDBC with the SSS Congruence postulate

We have;

Statement,                     Reason

BC ≅ BC,                       Reflexive property

[tex]\overline{AB}\cong \overline{DB}[/tex],                      Option selected

[tex]\overline{AC}\cong \overline{DC}[/tex],                      Option selected

ΔABC ≅ ΔDBC,              SSS Congruency Postulate

Therefore, whereby all three sides of the triangles ABC and DBC are congruent, then ΔABC is congruent to ΔDBC.                      

Answer:

AC≅DF

AB≅DE

Step-by-step explanation:

took the test :)

Answer:

(2)They are perpendicular.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The triangle pictured is a 45-45-90 triangle, meaning both legs are the same length, 5.

Given : p partners equally share the profits from a sale of $3,600

To find :  Which algebraic expression represents this situation

Solution:

Number of Partners  = p

Total Profit  = $ 3600

Profit of Each Partner  = Total Profit / number of Partners

=> Profit of Each Partner  = 3600 / p

Hence     is  algebraic expression that represent the  Share of each partner

Answer:

D

Step-by-step explanation:

100% on quiz

Answer:

126 people

Step-by-step explanation:

9/5 is the ratio tea/coffee

let x be the one who preferred coffee and x+36 preferred tea

9/5=x+36/x

9x=5x+5(36)

9x-5x=180

4x=180

x=180/4=45

x=45 coffee

x+36=45+36=81

45+81=126

check : 81/45= 9/5

Answer:

230.59

Step-by-step explanation:

55 = 2.7sqrt(x) + 14

41 = 2.7sqrt(x)

15.185=sqrt(x)

x = 15.185^2

x=230.59

Answer:

(x + 2)

Step-by-step explanation:

When we factor the expression x² - 8x - 20, we should get (x + 2)(x - 10).

Alternatively, we can use synthetic division or long division to get our answer.

Answer:

x + 2

Step-by-step explanation:

got it right edg '22

Answer:

About $3.28

Step-by-step explanation:

Divide 24.33 by 7.4

Answer:

3.28783783784...

Step-by-step explanation:

You're description could turn into 24.33 : 7.4.

You turn 7.4 into 1, and divide 7.4 / 1.

(It is 7.4)

Then, you divide 24.33 / 7.4.

It is 3.28783783784.......

or, If you want you're answer close to an natural number, It is 3.

Answer:

V = 3534 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

the radius is 7.5 and the height is 20

V = pi ( 7.5)^2 * 20

V =1125 pi cm^3

Using the pi button for pi

V =3534.291735 cm^3

Rounding to the nearest whole number

V = 3534 cm^3

Answer:

b)3534 cm^3

Step-by-step explanation:

To find the area of a cylinder, you first have to find the area of the base which is in the shape of a circle. The area of a circle is given by the equation πr^2. In this case r, the radius, is 7.5 cm. So plugging in 7.5 for r you get 7.5^2 × π. Plugging in 3.1415 for π you get ~176.671. Now all you do is multiply this by the height, 20cm, and get the answer of ~3534 cm^3.

Answer: 343 cm³

Step-by-step explanation:

The surface area of a cube is 6s^2, where s is the side length of a square.  Thus, first do 294/6 to get 49.  Then take the square root of 49 to get that each side of the cube is 7.  The volume of a cube is s^2, so simply do 7*7*7 to get that the volume of the cube is 343cm^3

Hope it helps <3

Answer:

V =343 cm^3

Step-by-step explanation:

The surface area of a cube is given by

SA = 6s^2 where s is the side length

294 = 6s^2

Divide by 6

294 / 6 = s^2

49 = s^2

Take the square root of each side

sqrt(49) = sqrt(s^2)

7 =s

The volume of a cube is

V = s^3

V = 7^3

V =343 cm^3

Answer:

A) 52.5 inches²

Step-by-step explanation:

The equation for the area of a trapezoid is a=1/2h(b1+b2). This basically means that you take the height of the trapezoid, multiply it by the top base plus the bottom base and divide that by 2. When you do this, you take 8.5 plus 6.5, which equals 15, and multiply that by 7 to get 105. After you get this, you divide it by 2 to get 52.5 inches².

Answer:

60 or 70

Step-by-step explanation:

Answer:

The shape is a trapezium; so use the formula for solving area of a trapezium to solve it. Which is

1/2(a+b)×h

=1/2(10+6)×7

=1/2 × 16 × 7

= 8×7

=56

Answer:

$43.64

Step-by-step explanation:

Answer:

1.64

Step-by-step explanation:

To find the tax, multiply the cost by the tax rate

42 * 3.9%

Change to decimal form

42 *.039

1.638

Round to the nearest cent

1.64

Answer:

I Believe if so, this is your answer

Step-by-step explanation:

y = e ( x )

OR

y = √ x − 10

Answer:

y = 7,595.96(1.02)x

Step-by-step explanation:

y = 7,595.96(1.02)x

a normal linear equation is basically y = x + b

in this case,

Since the accounts earns 2% interest per year, then you need to multiply the original amount by 1.02. As more years pass, the account will increase by 1.02, so the account increases by 1.02x. Since the original amount is $7,595.96, that will be our starting point.

Answer:

C y = 7,595.96(1.02)x

Step-by-step explanation:

Answer:

not d

Step-by-step explanation:

i tried it hehhe

Answer: 60 square units

Step-by-step explanation:

Answer:

The car's average speed for the entire journey = 84.315 km/h

Step-by-step explanation:

Correct Question

A car travels the first 50km of its journey at an average speed of 25m/s and the next 120 km at an average speed of 80km/h. the car completes the last part of its journey at an average speed of 90km/h in 35 minutes. Find the average speed for its entire journey, giving your answer in km/h.

Solution

Average speed is given as total distance travelled divided by total time taken.

So, we will compute the distance covered for each part of the journey and the corresponding time it takes to cover each of these distances.

- The car travels the 50 km first part of the journey at a speed of 25 m/s.

25 m/s = 90 km/h

We have the distance covered in the first part of the journey, now, we need the time taken to cover the distance.

Speed = (Distance/Time)

Time = (Distance/Speed)

Distance = 50 km, Speed = 90 km/h

Time = (50/90) = 0.5556 hr

- The next part, the car covers 120 km at a speed of 80 km/h

Time = (Distance/Speed) = (120/80) = 1.5 hr

- For the last part of the journey, the car travels with an average speed of 90 km/h for 35 minutes.

35 minutes = (35/60) hr = 0.5833 hr

Here, we need to calculate the distance covered for the last part.

Speed = (Distance/Time)

Distance = (Speed) × (Time) = 90 × 0.5833 = 52.5 km

Total distance covered = 50 + 120 + 52.5 = 222.5 km

Total time taken = 0.5556 + 1.5 + 0.5833 = 2.6389 hr

Average Speed = (222.5/2.6389) = 84.315 km/h

Hope this Helps!!!

Answer:

3/4 teaspoons of pepper

Step-by-step explanation:

1/4 teaspoons : 3 potatoes = x teaspoons : 9 potatoes

(1/4)/3 = x/9

3x = 9 * 1/4

x = 3 * 1/4

x = 3/4

Answer: 3/4 teaspoons of pepper

Answer:

B

step-by-step explanation:

1/4 over 3 p/9

Answer:

a) 12 (Simply divide 4800/5 to get 960.  Then divide 960/80 to get 12)

b) 2100 (Simply multiply 12 by 25 by 7)

Hope it helps <3

Answer:

30 people

Step-by-step explanation:

If you start off with 1/2 a lemon for 6 people, then 1 whole would be 12. 1 1/2 would be 18 people and 2 whole lemons would be 24. so 2 1/2 is 30 people.

Answer:

The given relation R is equivalence relation.

Step-by-step explanation:

Given that:

[tex]((a, b), (c, d))\in R[/tex]

Where [tex]R[/tex] is the relation on the set of ordered pairs of positive integers.

To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.

1. First of all, let us check reflexive property:

Reflexive property means:

[tex]\forall a \in A \Rightarrow (a,a) \in R[/tex]

Here we need to prove:

[tex]\forall (a, b) \in A \Rightarrow ((a,b), (a,b)) \in R[/tex]

As per the given relation:

[tex]((a,b), (a,b) ) \Rightarrow ab =ab[/tex] which is true.

[tex]\therefore[/tex] R is reflexive.

2. Now, let us check symmetric property:

Symmetric property means:

[tex]\forall \{a,b\} \in A\ if\ (a,b) \in R \Rightarrow (b,a) \in R[/tex]

Here we need to prove:

[tex]\forall {(a, b),(c,d)} \in A \ if\ ((a,b),(c,d)) \in R \Rightarrow ((c,d),(a,b)) \in R[/tex]

As per the given relation:

[tex]((a,b),(c,d)) \in R[/tex] means [tex]ad = bc[/tex]

[tex]((c,d),(a,b)) \in R[/tex] means [tex]cb = da\ or\ ad =bc[/tex]

Hence true.

[tex]\therefore[/tex] R is symmetric.

3. R to be transitive, we need to prove:

[tex]if ((a,b),(c,d)),((c,d),(e,f)) \in R \Rightarrow ((a,b),(e,f)) \in R[/tex]

[tex]((a,b),(c,d)) \in R[/tex] means [tex]ad = cb[/tex].... (1)

[tex]((c,d), (e,f)) \in R[/tex] means [tex]fc = ed[/tex] ...... (2)

To prove:

To be [tex]((a,b), (e,f)) \in R[/tex] we need to prove: [tex]fa = be[/tex]

Multiply (1) with (2):

[tex]adcf = bcde\\\Rightarrow fa = be[/tex]

So, R is transitive as well.

Hence proved that R is an equivalence relation.

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

Learn more about equivalent relations here:

https://brainly.com/question/1503196

Answer:a

Step-by-step explanation:

Answer:

Hey!

Well...the distance from Birmingham to Wolverhampton in about 12 miles (19km)

The length of the Golden Gate bridge is 2,737m OR 2.737 km...in miles it's 1.701

So you will have to cross it about 11.2 times (3 sf)

Step-by-step explanation:

19 km / 1.701km = 11.16990005878895

Rounded up to a degree of accuracy = 3 sf

= 11.2

Hope this helps!

Answer: 6

Step-by-step explanation: I think..... this is a division sign, nvm... so 4 divided by 8/12 is basically 4 x 12/8 which is 48/8 simplified is/equals 6!

Answer:

6

Step-by-step explanation:

4 / 8/12 = 4 * 12/8 = 4 * 3/2 = 6

Answer:

Colin got £126

Step-by-step explanation:

Here we want to know how much Colin got from the sharing.

We can collapse the ratio to mean;

Colin : Caroline + Sarah

= 9:1 + 1 = 9:2

So total ratio is 9 + 2 = 11

If Caroline and Sarah got £28 we need to find the total money shared

Let the total money shared be £x

Thus;

2/11 * x = 28

2x = 11 * 28

x = (11 * 28)/2

x = 11 * 14 = £154

So the amount of money Colin got would be;

£154 - £28 = £126

Answer:

I hope it's correct

Answer:

she wills substitute r with 7%.

Step-by-step explanation:

Just did it.

Answer:

R = 7%

Principal (P)

Rate (R)

Time (t)

Step-by-step explanation:

The full intrest rate formula is i=prt

You are looking for r

R is the interest rate 7%

So i = 12,876*7%*3years will be the full equation.

Answer:

B. 24700

Step-by-step explanation:

Answer:

b. 24700 cm³

Step-by-step explanation:

[tex]\frac{lwh}{3} \\\\65*30*38/3 = 24700 cm^3[/tex]

Hope this helps! :)