6w-19 + k when
w=8 and k = 2

Answer:

Width of Belmont Avenue is 5.2 meters

Step-by-step explanation:

We use the Pythagoras theorem to solve the problem

Pythagoras Theorem states that:

Hypotenuse² = Base² + Perpendicular²

Danville Street, Belmont Avenue and their diagonal forms a right angled triangle

In this case, let the base be Danville Street with width of 8.1 meters

Let the hypotenuse be 9.6 meters

We need to find the perpendicular

Put the values in Pythagoras theorem.

9.6² = 8.1² + perpendicular²

perpendicular² = 9.6²-8.1²

perpendicular² = 92.16 - 65.61

perpendicular² = 26.55

take square root on both sides

perpendicular =5.153

Round of to nearest 10th

Perpendicular = 5.2 meters

Belmont Avenue = 5.2 meters

Answer:

21.7

Step-by-step explanation:

you add all along the shape and it adds up to 21 and 21.7 is the only answer that has 21 in it

hope this helps.

Answer:

Step-by-step explanation:

There are five lines of symmetry in a regular pentagon:

Each going from side midpoint to opposite vertex.

here is a drawing of all of them filled in:

Answer:

y=(1/9)x+4

Step-by-step explanation:

x=3b

b=(1/3)x

y=2/6(1/3)x+4

y=(2/18)x+4

y=(1/9)x+4

Answer:

y = 1/(x+2)

Step-by-step explanation:

x=3b and y= 2/(6b+4)

Rewriting the second equation by factoring out 2

y=2/ 2(3b+2)

We know that 3b = x

y=2/ 2(x+2)

Canceling the 2 in the numerator and denominator

y = 1/(x+2)

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = [tex]\frac{1}{2}[/tex] ← from (- 1, [tex]\frac{1}{2}[/tex] ) , thus

average rate of change = [tex]\frac{4-\frac{1}{2} }{2-(-1)}[/tex] = [tex]\frac{\frac{7}{2} }{3}[/tex] = [tex]\frac{7}{6}[/tex] → D

Answer:

the answer to the following questions is 10870.46873

Answer:

-1 -60p

hope it helps

Step-by-step explanation:

6 (1-10p) -7

First solve 6(1-10p) using distributive property of subtraction

(6*1)-(6*10p) -7

= 6-60p -7

Add the constants of the equation

= (6-7) -60p

= -1 - 60p

Answer:

-60p-1

Step-by-step explanation:

Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p

So then the answer is -60p-1.

Answer:

y-6= -2(x+2)  

Step-by-step explanation:

A= (-2, 6)

B= (2, -2)

y= mx+b

slope:

intercept:

the function is:

y-2=2(x+2) ⇒ y= 2x+6 - no

y-6= -2(x+2) ⇒ y= -2x +2 - yes

y-2= -2(x+6) ⇒ y= -2x - 10- no

y-2= -2(x+2) ⇒ y= -2x- 2 - no

=====================================================

Work Shown:

Plug in n = 1 to find the next term

f(n+1) = f(n) - 2

f(1+1) = f(1) - 2 ... replace every n with 1

f(2) = f(1) - 2

f(2) = 18-2 .... replace f(1) with 18

f(2) = 16

We'll use this to get the next term. Plug in n = 2

f(n+1) = f(n) - 2

f(2+1) = f(2) - 2 ... replace every n with 2

f(3) = f(2) - 2

f(3) = 16 - 2 ... replace f(2) with 16

f(3) = 14

This process keeps going until we reach f(5)

Plug in n = 3

f(n+1) = f(n) - 2

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

f(4) = f(3) - 2

f(4) = 14-2

f(4) = 12

and finally plug in n = 4

f(n+1) = f(n) - 2

f(4+1) = f(4) - 2

f(5) = f(4) - 2

f(5) = 12 - 2

f(5) = 10

The summary is basically we subtract 2 from each term to get the next term. The sequence is 18, 16, 14, 12, 10 which is arithmetic.

Answer:

A

Step-by-step explanation:

maybe i am sure don't depend on me

Answer:

6 Fancy shirts

Step-by-step explanation:

Answer:

16.50 dollars

Step-by-step explanation:

We can use proportion

8 euros --- 11 dollars

12 euros --- x dollars

x = 12 * 11/8 = 16.5= 16.50 dollars

Answer:

16.5 dollars

Step-by-step explanation:

Let's make a proportion using the following setup.

dollars/euros=dollars/euros

Tommy can get 11 dollars for 8 euros.  We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.

11 dollars/8 euros=x dollars/12 euros

11/8=x/12

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.

12*(11/8)=(x/12)*12

12*11/8=x

12*1.375=x

16.5=x

Tommy can get $16.50 with 12 euros.

Answer:

the median is 21

Step-by-step explanation:

8 , 15 , 21 , 25 , 63

that is what you have to do you would have to put them in order from least to greatest so then you would see the middle number which is 21

Answer:

c 81

Step-by-step explanation:

Answer:

y=7/10+3/10

Step-by-step explanation:

Answer:

7?

Step-by-step explanation:

Answer:

k(-1) = 7

Step-by-step explanation:

the blue line represents the graph of k. The question is asking what the y-value at x=-1 is. Therefore, you just look at the blue line when x = -1, which is one block to the left of the middle. At that point, the y value is 7.

Answer:

See the explanation

Step-by-step explanation:

The given function is:

f(x) = 5ˣ

Transformation of a parent function is given by the formula:

g(x) = k · f(x + a) + b

Where

k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1

f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0

f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0

In the question it is given:

k = 1/2

Shifts right by 3 units ⇒ a = -3

Shift up by 2 units ⇒ b = 2

Substitute in the formula:

g(x) = (1/2) · f(x - 3) + 2

[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]

Answer:

1/4

Step-by-step explanation:

1/4 on my calculator

The value of log 5 to the base 625 is 1/4 .

From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,

∴ log a to the base b = x

⇒ [tex]a = b^{x}[/tex]

Thus we can take log 5 to the base 625 = x

∴ [tex]5 = 625^{x}[/tex]

From the above equation, we can get the value of x as 1/4

Thus the value of log 5 to the base 625 is 1/4

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Answer:

7.50 - 6.49 = $1.01 left

Answer:

1.01

Step-by-step explanation:

7.50 - 6.49 = 1.01

Answer:

I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6

Step-by-step explanation:

The distance between the two lakes = 633.9 ft. So, we take the 4th option.

By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,

c = √(a² + b² - 2.a.b.cos γ)

To solve the question, we will use the law of cosines.

Let a = 560 ft., b = 350 ft., c = d (unknown distance).

γ = 160° - 75° = 85°.

We substitute the values in the formula to get,

d = √(560² + 350² - 2(560)(350)(cos 85°)

or, d = √(313600 + 122500 - 392000*0.0871)

or, d = √(436100 - 34165.05116)

or, d = √401934.948842

or, d = 633.983397

So, we take d = 633.9 ft., the 4th option.

∴ The distance between the two lakes = 633.9 ft.

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Answer:

Step-by-step explanation:

i'm not sure what the answer options are since they're not provided, but it's whichever option has a steady rate of change. (ex: money, time spent earning it; location, time spent driving; length in inches, length in meters)

Answer:

14.1 I think

Step-by-step explanation:

Answer:14.1

Step-by-step explanation:

Answer:

C) The triangles are not similar

Step-by-step explanation:

There are 3 triangle similarity theorems:

We can find the all the angles of both triangles, so we can determine the similarity of these triangles only by first theorem

Angles of ΔQRS:

<Q = 63°

<R = 90°

<S = 180°-63°-90° = 27°

Angles of ΔTUV:

<T=180°-90°-25° = 65°

<U = 90°

<V = 25°

As none of the angles are same, triangles are not similar.

basically write the triangle in degree language like this is a acute angle because this is a 70* degree angle and talk more

Answer:

Wetlands prevent flooding by temporarily storing and slowly releasing stormwater.

Step-by-step explanation:

Wetlands also reduce water flow, thus allowing sediments and associated pollutants to settle out. A marshland can prevent flooding in a nearby town bye temporarily storing water!

Answer:

i dunno i just want points xd so i can put questions xd

Step-by-step explanation:

Answer:

The angles are 31 and 59 degrees.

Step-by-step explanation:

Let x be angle. Let 90-x be the complement of its angle. Then, x=90-x+28 since the measure of an angle is 28 degrees more than the complement.

Solving equation in Step 3 yields the following steps Add x to both sides of the equation Divide by 2 to both sides of the equation

Answer:

see below

Step-by-step explanation:

y[tex]\geq[/tex] ..... means full  line and shading above the line

Y< ......means  doted  line and shading below the line

A) solution is overlapping shaded part

B) (10,5)

plug in point in inequalities and check if it's true; if it's true you showed that solution is correct

1. 5[tex]\geq[/tex]-1/2*10 + 2 1/2

  5[tex]\geq[/tex] -5 + 2 1/2

  5[tex]\geq[/tex] -2 1/2 TRUE

2. 5[tex]<[/tex]1/5*10 + 6

   5< 2 + 6

5< 8  TRUE

The solution to the inequality equation is ( -5 , 5 )

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the first inequality relation be represented as A

Now , the value of A is

y ≥ ( -1/2 )x + 2 1/2

y ≥ ( -1/2 )x + 5/2   be equation (1)

Let the second inequality relation be represented as B

Now , the value of B is

y < ( 1/5 )x + 6

On simplifying the equation , we get

Graphing the inequalities we get the common point as ( -5 , 5 )

Substitute the value of x = -5 and y = 5 in the inequality equations , we get

y ≥ ( -1/2 )x + 5/2

Substitute x = -5 and y = 5

5 ≥ ( -1/2 ) ( -5 ) + 5/2

5 ≥ 5/2 + 5/2

5 ≥ 10/2

5 ≥ 5

The inequality is true

Now , y < ( 1/5 )x + 6

Substitute x = -5 and y = 5

5 < ( 1/5 ) ( -5 ) + 6

5 < -1 + 6

5 < 5

The inequality is true when the value of x > -5

Hence , the equations are solved

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Answer:

B. 3(2^x)

Step-by-step explanation:

3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.