Two polygons that can be mistaken as similar

Answer:

The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The terms of the sequence are 1, -3, 9, -27

∵ -3 ÷ 1 = -3

∵ 9 ÷ -3 = -3

∵ -27 ÷ 9 = -3

∴ There is a common ratio between each two consecutive terms

∴ The sequence is geometric

∵ The formula of the geometric sequence is a[tex]_{n}[/tex] = a [tex]r^{n-1}[/tex], where

∵ The first term is 1

∴ a = 1

∵ The common ratio is -3

∴ r = -3

→ Substitute them in the formula above

∵ a[tex]_{n}[/tex] = (1) [tex](-3)^{n-1}[/tex]

∴ a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

∴ The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Answer:

-80

Step-by-step explanation:

Answer:

20 cars

Step-by-step explanation:

10,000 ÷ 500 = 20

Answer:

2 cars

Step-by-step explanation:

4,000 + 500 = 4,500 x 2 =10,000

thus its 2 cars

Answer:

yes becasue their sides have the same length and angles

Step-by-step explanation:

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The domain is the list of x-values in the table. Choice A correctly lists the domain values.

The range is the list of y-values in the table. Choice B incorrectly describes the domain.

For x = -1, the table tells you f(x) = 6, so f(-1) = 6.

For x = 5, the table tells you f(x) = 12, so f(5) = 12, not -2.

Choices A and C are correct.

Answer:

Step-by-step explanation:

Given

Finding (fog)(x)

(fog)(x)  = f(g(x))

(fog)(x)  = f(x+9)

(fog)(x)  = 5(x+9)             ∵ substitute x as x+9 in the f(x)

(fog)(x)  = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x)  = g(5x)

(gof)(x)   = 5x+9                 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

so

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in  f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

Answer:

8

Step-by-step explanation:

1. Use the Pythagorean theorem: a^2+b^2=c^2.

You are already given c (which is always the longest side of the triangle) and one of the legs, which can be either a or b.

2. Put the numbers into the equation and square them.

6^2+b^2=10^2

When you square the numbers, it becomes 36 + b^2 = 100.

3. Subtract 36 from both sides and take the square root of the difference.

b^2 = 64

[tex]\sqrt{64}[/tex] = 8

Answer: 8cm

Step-by-step explanation: Let’s use the Pythagorean Theorem! 6^2+x^2=10^2

36+x^2=100

x^2=64

X=8

Answer:

I think it B

Step-by-step explanation:

I think it is B

Answer:

40

Step-by-step explanation:

12 cups= 3 quarts

there ya goo

Answer:

the first

Step-by-step explanation:

if it's perpendicular so is the gradient so y= -5/6 + 12

*I'm so sorry if I'm wrong

Answer:ummm do you have a picture of the question?

Step-by-step explanation:

Answer:

A. F(x)=x

Step-by-step explanation:

Answer:

-6/6 = -1

Step-by-step explanation:

y2 - y1                       0 - 6          -6

x2 - x1                       2 - 4           6   simplify and you get -1

Answer:

4

Step-by-step explanation:

4 x .25 = 1

Answer:

its 4

Step-by-step explanation:

1÷4×100

=25%

(1×100)÷25

=4

Answer:

10.95 for a, b is definitely from a different problem

Step-by-step explanation:

3*3.65=10.95

Hii

(x-2)(x+2)/x(x+5)

=(-4-2)(-4+2)/-4(-4+5)

=(-6)(-2)/-4(1)

=12/-4

=-3

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Answer:

A.

Step-by-step explanation:

it is in y=mx+b format

Answer:

c = 29km

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]20^{2}[/tex] + [tex]21^{2}[/tex] = 841

[tex]\sqrt{841}[/tex] = 29

Answer:

x ≥ 12

Step-by-step explanation:

Given that :

Total points required = 40

1st round point = 4

2nd, 3rd and 4th round points are identical

Let the point number of points = x

2nd + 3rd + 4th = 3

1st round + 3(x) ≥ 40

4 + 3x ≥ 40

3x ≥ 40 - 4

3x ≥ 36

x ≥ 12

Answer:

Step-by-step explanation:e equation has a leading coefficient of 1 or if the equation is a difference of squares. The zero-factor property is then used to find solutions. ... Another method for solving quadratics is the square root property. The variable is squared.

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles

the two triangles are not similar.

Answer:

I believe it’s g(k)=(-k- 3)(-k+3)

Step-by-step explanation:

The equivalent function is g(k) = -(k - 3)².

The correct option is A.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:

g(k) = -(k² - 6k + 9 ) = -(k - 3)²

Option A can be simplified as:

g(k) = -(k - 3)²

Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).

Therefore, the answer is A. g(k) = -(k - 3)²

To learn more about the quadratic function;

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The complete question:

Which function is equivalent to g (k) = -k²+ 6k-9?

A. g(k) = -(k- 3)²

B. g(k) = (-k+ 3)(k+ 3)

C. g(k) = -(k+3)²

D. g(k) = (-k- 3)(–k+ 3)

Answer:

second

Step-by-step explanation:

their angles are equal and their sides are proportional if the figures are similar

Answer:

B, Their angles are equal and their sides are proportional.  

Step-by-step explanation:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

Answer:

c = 0

Step-by-step explanation:

15 – 5(4c – 7) = 50

Expand.

15 - 20c + 35 = 50

Isolate 20c.

-20c = 50-15-35

Evaluate.

-20c = 0

Remove the negative sign.

-20c × (-1) = 0 × (-1)

Two negatives make a positive. Anything multiplied by 0 becomes 0.

20c = 0

Find c.

c = 0 ÷ 20

Evaluate.

c = 0

c = 7/4 is the solution to the equation 15 - 5(4c - 7)

Let's solve the equation step by step:

15 - 5(4c - 7) = 50

First, distribute the -5 to the terms inside the parentheses:

15 - 20c + 35 = 50

Combine like terms:

50 - 20c + 35 = 50

Combine the constant terms:

-20c + 85 = 50

Next, isolate the term with c by subtracting 85 from both sides of the equation:

-20c = 50 - 85

Simplify:

-20c = -35

Finally, divide both sides by -20 to solve for c:

c = (-35) / (-20)

Simplifying the division:

c = 7/4

Therefore, the solution to the equation 15 - 5(4c - 7) = 50 is c = 7/4.

Learn more about algebraic Expression here:

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