PLS HELP ME WITH GEOMETRY

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:

Step-by-step explanation:

[tex]Midpoint(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})= (-5, -5)\\\\(\frac{x_{1}-6}{2},\frac{y_{1}-3}{2})=(-5,-5)\\[/tex]

Compare the x & y values

 [tex]\frac{x_{1}-6}{2}=-5[/tex]             ;      [tex]\frac{y_{1}-3}{2}=-5[/tex]

x₁ - 6 = -5 *2           ;   y₁ - 3 = -5*2

x₁ - 6 = - 10             ;    y₁ -3 = -10

x₁ = -10 +6              ;    y₁ = -10 +3

x₁ = -4                     ;  y₁ = -7

Endpoint(-4, -7)

Answer:

6 Fancy shirts

Step-by-step explanation:

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:

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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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:

Option C.

Step-by-step explanation:

Function f(x) = x², when transformed a new function g(x) is formed.

Let the new function is g(x) = kx²

Since a point (1, 4) lies on the new graph g(x),

By satisfying the equation of the new function with the coordinates of the point (1, 4),

4 = k(1)

k = 4

Therefore, transformed function g(x) will be,

g(x) = 4x²

Option (C) will be the answer.

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:

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:

14.1 I think

Step-by-step explanation:

Answer:14.1

Step-by-step explanation:

Answer:

lines p and q are parallel because they are kinda the same in every part even the hight.

Answer:

Alternate exterior angles converse theorem.

Step-by-step explanation:

i just know :)

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:

the answer is A. 99 degrees because 81 + 18 = 99

Answer:

99°

Step-by-step explanation:

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

Answer:

the answer to the following questions is 10870.46873

Answer:

c 81

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.

Answer:

7.50 - 6.49 = $1.01 left

Answer:

1.01

Step-by-step explanation:

7.50 - 6.49 = 1.01

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:

42

Step-by-step explanation:

The chart shows how many bags have a certain number of sweets (e.g. 3 of the 9 bags have 39 sweets). To calculate how many sweets there are in the 10th bag, set up an equation where [tex]x[/tex] represents the number of sweets in the 10th bag:

[tex]\frac{39(3)+40(2)+41(1)+42(1)+43(0)+44(2)+x}{10}=41[/tex]

41 is the mean, which you get by adding the number of sweets in each bag together and dividing it by the number of bags.

Simplify the equation:

[tex]\frac{117+80+41+42+88+x}{10}=41[/tex]

[tex]\frac{368+x}{10} =41[/tex]

Multiply both sides by 10:

[tex]368+x=410[/tex]

Isolate the variable:

[tex]x=42[/tex]

Answer:

42

Step-by-step explanation:

It's right

Answer:

12 hours

Step-by-step explanation:

Given

1 inch = 400 miles

1 inch = 400 miles

multiplying LHS and RHS by 9

1*9 inche = 400*9 miles

9 inches = 3600 miles

Given that on map distance from point A to point B is 9 inches

Actual distance will be 3600 miles as calculated above.

we know that

Time = distance / speed

given

speed = 300 mph

distance = 3600 miles

time = 3600 miles/300 mph = 12 hours

Thus, trip will take 12 hours.

Answer:

74 plots

Step-by-step explanation:

74 plots; 1628/22=74 it says that she splits it in EQUAL sized plots of 22 EACH which means that you are trying to find how many 22 acres of plots there is. Therefore you do 1628/22.

Answer:

[tex]5^{8}[/tex]

Step-by-step explanation:

[tex]5^{2^{3} } =\\5^{8}[/tex]

We get this because we need to cube the first exponent first. (confusing? Reply to my answer)

Answer:

5^8

Step-by-step explanation:

When I multiply the given expression, I get 390625. Then, when I multiply the options, the one that matches that number is 5^8.

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:

B. 3 radians

Step-by-step explanation:

We are given the following components of the circle.

Radius of circle (r) = 4 cm

Length of arc (l) = 12 cm

Lenght of arc of a circle is given by the following formula:

[tex] l = \frac{\theta}{2\pi^c}\times 2\pi r[/tex]

Substituting the values of l and r in the above formula, we find:

[tex] 12 = \frac{\theta}{2\pi^c }\times 2\pi \times 4\\\\

\therefore 12 = \theta \times 4\\\\

\theta = \frac{12}{4}\\\\

\theta = 3 \: radians[/tex]

Answer:

Answer is C

Step-by-step explanation:

From similar triangles ABC and ABD. DB/BC = DA/BA is the correct proportion.

Given that, ABC is a right triangle and BD drawn perpendicular to AC.

Consider triangles ABC and BCD,

∠C = ∠C (Reflexive property)

∠CBA = ∠CDB (Both measures 90°)

ΔABC similar to ΔBCD

BA/DC = CB/BD = BC/AC

Similarly,

Consider triangles ABC and ABD

∠A = ∠A (Reflexive property)

∠CBA = ∠ADB (Both measures 90°)

ΔABC similar to ΔABD

AB/AC = AD/AB = BD/BC

Therefore, DB/BC = DA/BA is the correct ratio.

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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:

y=7/10+3/10

Step-by-step explanation: