The two given figures are similar. Which statements must be true? Select all that apply.

9514 1404 393

Answer:

Step-by-step explanation:

a) ac is the product of the leading coefficient (16) and the constant (-1).

  ac = (16)(-1) = -16

__

b) b is the coefficient of x. There is no x term, so ...

  b = 0

__

c) Two factors that add to give zero must be opposites. That is, they must be the square root of the opposite of -16, and the opposite of that.

  the two numbers are -4 and 4

__

d) The factored form for the two numbers p and q just found is ...

  ax^2 +bx +c = (ax +p)(ax +q)/a

  = (16x -4)(16x +4)/16

  = (4x -1)(4x +1) . . . . factored form of 16x^2 -1

Answer:

Consider the polynomial 16x2 – 1.

*)   What is the value of ac?  

–16

**)     What is the value of b?  

0

***)    What two numbers multiply to get ac and add to get b?  

–4 and 4

****)    The factored form of 16x2 – 1 is  

(4x– 1)(4x+ 1)

.

Step-by-step explanation:

Edge 2021

Answer:

cos x° = adjacent ÷ hypotenuse

Step-by-step explanation:

Option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have given trigonometric ratios in the options.

As we know the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

In the right angle triangle (It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base)

cos is the ratio of the side adjacent to the angle to the hypotenuse

cos x° = adjacent ÷ hypotenuse

tan is the ratio of the side opposite to the angle to the side adjacent to the angle.

tan x° = opposite ÷ adjacent

Thus, option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ5

Answer:

Es el acronimo de la (Contraloría General de la República

Step-by-step explanation:

Espero ayudarte suerte

Significado de SGR. El significado de la sigla SGR es el acrónimo de Sociedades de Garantía Recíproca. El significado de la sigla SGR es el acrónimo de sociedad de garantía recíproca y pertenece a la categoría Europa. El significado de la sigla SGR es el acrónimo de Sociedad de Garantías Recíprocas.

It is airoplane and ambulance

Answer:

5

Step-by-step explanation:

Given :

Y α 1/x

Y = k/x

Where, k = constant of proportionality ;

y = 3 ; x = 10

3 = k / 10

k = 10 * 3

k = 30

Equation becomes :

Y = 30/x

Y =? ; when x = 6

Y = 30 / 6

Y = 5

Answer:

8 and 2/5 is 42/5 and its reciprocal is 5/42

Step-by-step explanation:

[tex]Reciprocal \: of \: \frac{42}{5} \: is \: \frac{5}{42} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]8 \frac{2}{5} \\ \\ = \frac{42}{5} [/tex]

[tex]Hence, \:the\: reciprocal \: of \: \frac{42}{5} \: is \: \frac{5}{42}.[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

( 1.  6 )

Step-by-step explanation:

Use the formula:

x = - b/2a

to find the maximum and minimum.

Answer: (1,  6 )

Step-by-step explanation:

This should help:

x = - b/2a

9514 1404 393

Answer:

  (a)  145

Step-by-step explanation:

The measure of the angle marked x° is half the sum of the intercepted arcs:

  (90° +200°)/2 = x° = 145°

9514 1404 393

Answer:

  B, C, A, D

Step-by-step explanation:

The depths are easier to compare if they are all in the same form. Here, it is convenient to use decimal numbers rounded to hundredths. Your calculator can help with the fractions if you are not familiar with decimal equivalents.

  A: -1.6 m = -1.60 m

  B: -4/3 m ≈ -1.33 m

  C: -1.36m = -1.36 m

  D: -17/9 m ≈ -1.89 m

Then the least deep site is the one with the depth number closest to 0.

In order from least to greatest depth, the sites are ...

  B (-1.33) > C (-1.36) > A (-1.60) > D (-1.89)

Answer:

yeah

Step-by-step explanation:

Answer:

(14-9i)+(2+3i) = 16-6i

Step-by-step explanation:

We need to find the equivalent of (14-9i)+(2+3i).

We need to add the two expressions.

(14-9i)+(2+3i) = 14+2 -9i+3i

= 16-6i

Here, the real part is 16

The imaginary part is -6

Hence, the required answer is equal to 16-6i.

Answer:

Step-by-step explanation:

( - ∞ , - 3 ) ∪ [ - 1 , ∞ )

Answer:

4 m squared minus 20 m n + 25 n squared; a perfect square trinomial

Step-by-step explanation:

(-2m+5n)(-2m+5n)

4[tex]m^{2}[/tex]-20mn+25[tex]n^{2}[/tex]

By expanding the given expression, we conclude that the equivalent expression will be the perfect square trinomial:

4m^2 + 20m*n + 25n^2

We have a polynomial given by the expression:

(2m + 5n)^2

If we expand the binomial (binomial means that it hastwo terms), we will get:

(2m)^2 + 2*(2m)*(5n) + (5n)^2

= 4m^2 + 20m*n + 25n^2

This is a perfect square trinomial (trinomial because has 3 terms and perfect square because is the square of a binomial).

If you want to learn more about polynomials, you can read:

https://brainly.com/question/4142886

Answer:

[tex]63\frac{6}{9}[/tex]

Step-by-step explanation:

[tex](212-4-5)[/tex] ÷ [tex]3-4=[/tex]

[tex]203[/tex] ÷ [tex]3-4=[/tex]

[tex]67\frac{6}{9}-4=[/tex]

[tex]=63\frac{6}{9}[/tex]

Hope this helps

Answer:

sin x = a/b

cos x = c/b

tan x = a/c

Answer:

sin x = a/b

cos x = c/b

tan x = a/c

Step-by-step explanation:

We know,

So, in this right triangle, the opposite is a

                                          "   hypotenuse is b

                                          "   adjacent is c

So, sin x = a/b

      cos x = c/b

      tan x = a/c          

Answer:

uₙ₊₁ = uₙ + ¹/₂

Step-by-step explanation:

uₙ₊₁ = uₙ + d

u₈ = 3

u₁₀₀ = 49

We can establish the following:

u₉ = 3 + d

u₁₀ = (3 + d) + d = 3 + 2d

u₁₁ = (3 + 2d) + d = 3 + 3d

so...

u₈₊ₐ = 3 + ad

u₁₀₀ = u₈₊₉₂ = 3 + 92d

3 + 92d = 49

92d = 46

d = ¹/₂

∴ uₙ₊₁ = uₙ + ¹/₂

Answer: the top one

Step-by-step explanation:

the inverse of ƒ(x) = x²– 16

[tex] {f}^{ - 1} (x) = \sqrt{x + 16} [/tex]

Answer:

The inverse function should be f

[tex] {f}^{ - 1}( x) = \sqrt{x + 16} [/tex]

this is the correct answer

Answer:

-4374

Step-by-step explanation:

Given :

a1 = 2 ; r = - 3

The nth term of a geometric series :

A(n) = ar^(n-1)

The 8th term :

A(8) = 2(-3)^(8-1)

A(8) = 2(-3^7)

A(8) = 2(−2187)

A(8) = - 4374

Answer:

1.33

Step-by-step explanation:

so mean is the average

so what you have to do is add the numbers for each person and then divide by the amount of numbers present. the question is asking for the difference so subtract the numbers for each from person.

mia's mean= 34.33

sophia's mean= 35.667

sophia-mia= 1.33

(check my work, and if you need help just comment)

Answer:

[tex](x+1)^2 + (y + 1)^2 = 13[/tex]

Step-by-step explanation:

To find the centre of the circle, find the mid - point of PQ :

[tex]Centre =( \frac{x_1+x_2}{2} \ , \ \frac{y_1 + y_2}{2}) = (\frac{-2}{2} \ , \ \frac{-2}{2}) = (-1, -1)[/tex]

Diameter = 2 x Radius , To Find the diameter, find distance between P and Q:

[tex]Distance , PQ = \sqrt{(2 - (-4))^2 + (1 -(-3))^2}[/tex]

                   [tex]= \sqrt{6^2 + 4^2} = \sqrt{36+ 16} = \sqrt{52} = \sqrt{4 \times 13} = 2 \times \sqrt{13}[/tex]

PQ is the diameter , therefore radius :

                                                [tex]r = \frac{1}{2} \times 2 \sqrt{13} = \sqrt{13}[/tex]

Equation of a circle :

                              [tex](x + 1)^2 + (y + 1)^2 = 13[/tex]

Answer:

(x - 1)2 + (y - 1)2 = 13

Step-by-step explanation:

This is the answer for Acellus users

OPTION C is the correct answer.

Answer:

D. 2^2+1.7^243+40−−−−−√

Step-by-step explanation:

The computation is shown below:

Given that

Sample 1

n_1 = 43

mean  = 18

s_1 = 2

Sample 2

n_2 = 40

mean = 20

s_2 = 1.7

Now the standard error is

[tex]= \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } \\\\= \sqrt{\frac{2^2}{43} + \frac{1.7^2}{40} }[/tex]

= 0.4065

Answer:

A: SA = 46 cm^2; V = 11 cm^3

B: SA = 46 cm^2; V = 14 cm^3

C: SA = 46 cm^2; V = 15 cm^3

Step-by-step explanation:

SA = 2B + PH = 2LW + PH

where SA = total surface area,

B = area of a base

P = perimeter of the base

H = height of the prism

L = length of the base

W = width of the base

V = LWH

Prism A:

SA = 2(11 cm)(1 cm) + 2(11 cm + 1 cm)(1 cm)

SA = 46 cm^2

V = (11 cm)(1 cm)(1 cm) = 11 cm^3

Prism B:

SA = 2(7 cm)(2 cm) + 2(7 cm + 2 cm)(1 cm)

SA = 46 cm^2

V = (7 cm)(2 cm)(1 cm) = 14 cm^3

Prism C:

SA = 2(5 cm)(3 cm) + 2(5 cm + 3 cm)(1 cm)

SA = 46 cm^2

V = (5 cm)(3 cm)(1 cm) = 15 cm^3

Answer:

A. The graph is a line that goes through the points (9,0) and (0,6).

Step-by-step explanation:

Given

[tex]4x + 6y = 36[/tex]

Required

Select the true options

[tex](a)\ (9,0)\ and\ (0,6)[/tex]

This implies that"

[tex](x_1,y_1)= (9,0)[/tex]

[tex](x_2,y_2)= (0,6)[/tex]

So, we have: [tex](x_1,y_1)= (9,0)[/tex]

[tex]4x + 6y = 36[/tex]

[tex]4 * 9 + 6 * 0 = 36 + 0 = 36[/tex]

So, we have: [tex](x_2,y_2)= (0,6)[/tex]

[tex]4 * 0 + 6 * 6 = 0 + 36 = 36[/tex]

Hence (a) is true.

Answer:

the answer would be a-The graph is a line that goes through the points (9,0) and (0,6).

Step-by-step explanation:

i took the test

Answer:

[tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = 0[/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5}[/tex]

Step 2: Evaluate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits