The function his a quadratic function whose graph is a translation 7 units left and 9 units up function f(x) = x². What is the equation of h in vertex form and in the form y = ax²+bx+c?​

Answer:

125e^12x

Step-by-step explanation:

5^3*(e^4x)^3

5^3=125

(e^4x)^3=e^12x

125e^12x

Answer:

Step-by-step explanation:

a+b I think

Answer: 13?

Step-by-step explanation:

I need help under standing

The exact value of the cotangent of theta in simplest radical form is -21/20.

What is the simplest radical form?

The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.

To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.

Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:

[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]

Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:

cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)

sin(theta) = opposite/hypotenuse = -20/sqrt(1241)

Now we can find the value of cotangent of theta:

cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))

= -21/20

Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.

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Answer: A.90 cm^2

Step-by-step explanation: A= a+b/2 h

A= 17.5+12.5/2 *6

A = 30/2*6

A= 15*6

A=90

Given:

In triangle [tex]BGU,BG=x,GU=7,BU=y,m\angle U=90^\circ,m\angle B=44^\circ[/tex].

To find:

The value of y.

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In triangle BGU,

[tex]\tan B=\dfrac{GU}{BU}[/tex]

[tex]\tan 44^\circ=\dfrac{7}{y}[/tex]

[tex]0.966=\dfrac{7}{y}[/tex]

Isolating y, we get

[tex]y=\dfrac{7}{0.966}[/tex]

[tex]y=7.2463[/tex]

[tex]y\approx 7.2[/tex]

Therefore, the correct option is A.

Answer:

We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because  

✔ all radii of the same circle are congruent.

We also know that AC ≅ BC since  

✔ tangents to a circle that intersect are congruent.

Using the reflexive property, we see that  

✔ side CO is congruent to side CO.

Therefore, we conclude that △ACO is congruent to △BCO by the  

✔ SSS congruence theorem.

please mark brainliest....  hope you have a great day ! XD

The two column proof of the fact that  △ACO is congruent to △BCO is; SSS Congruence Theorem

We are given that;

angle AOB is a central angle of circle O

angle ACB is a circumscribed angle of circle O.

Now, AO ≅ BO. The reason is because all radii of the same circle are congruent.

We are told that; AC ≅ BC. The reason is because tangents to a circle that intersect each other are congruent.

Using the reflexive property, we see that side CO is congruent to side CO.

Finally, we can conclude that △ACO is congruent to △BCO by the SSS congruence theorem.

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Answer:

13cm

Step-by-step explanation:

the formula for finding the hypotenuse is:

[tex]c=\sqrt{a^{2} +b^{2} }[/tex]

C is always the longest side of the triangle. In your question, it would be the side without any measurement.

It doesn't matter which side is A and which side is B, so, suppose that A is 12 and B is 5.

Now just solve for C

C=[tex]\sqrt{12^{2} + 5^{2} }[/tex]

C=[tex]\sqrt{144+25}[/tex]

C=13

Therefore, the missing side is 13 cm

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Answer: 13cm I think

Step-by-step explanation:

Answer:

the number of 2 point and number of 3 point be 27 and 8 respectively

Step-by-step explanation:

Let us assume the number of 2 point be x

And, the number of 3 point be y

Now according to the question

2x + 3y = 78

x + y = 35

Multiply by 2 in equation (2)

2x + 3y = 78

2x + 2y = 70

y = 8

So,

x = 35 - 8

= 27

Hence, the number of 2 point and number of 3 point be 27 and 8 respectively

Answer:

X=-2 y=1/16

X=-1 y=1/4

X=0 y=1

X=1 y=4

X=2 y=16

Don't mind the ones in the negative when plotting just keep them in mind and use the bigger numbers, since the scale is big

Step-by-step explanation:

When putting a negate power you just inverse the equation while keeping the power the same and only changing the sign

i.e: 4^(-3)=1/4³

The number of beef sandwich is 48 and vegetarian sandwich is 32.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, total number of sandwiches = 160, ratio of turkey sandwiches to roast beef sandwiches = 5:3. Number of turkey sandwiches = 80

Let the number of turkey sandwich and that of roasted beef sandwich be 5x and 3x respectively,

5x = 80

x = 16

Therefore, number of roasted beef sandwiches = 16 × 3 = 48

Total number of turkey sandwich and beef sandwich = 48 + 80 = 128

The number of vegetarian sandwich = 160 - 128 = 32

Hence, the number of beef sandwich is 48 and vegetarian sandwich is 32.

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Answer:

Step-by-step explanation:

Surface area of a triangular prism

Height = 8cm

12cm

10cm

This given as:

S.A = B + Ph

Answer:

57cm^3

i belive this is right.

Answer:

31.2

Step-by-step explanation:

Divide 4/15= 2.66

12x2.6= 31.2

This might be wrong..

Answer:12 out of 9 chances

Step-by-step explanation:

Answer: 9/24 or 3/8(simplified).

Step-by-step explanation:

Okay first let's break it down.

The spinner has a 1/4 chance of landing on blue.

The spinner has a 1/2 chance of landing on red.

The spinner has a 1/4 chance of landing on green.

The spinner has a 3/4 chance of landing on red or blue

The spinner has a 3/4 chance of landing on red or green.

The spinner has a 1/2 chance of landing on blue or green.

A 6-sided die has a 1/2 chance of landing on either even or odd.

The question first asks the probability of spinning a red or blue.

So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.

Answer:

y=0.25x-1

Step-by-step explanation:

y=mx+b

slope = 0.25

y = 0.25x+b

the y intercept = -1

y = 0.25x+-1

y = 0.25x-1

Answer:

4,200

Step-by-step explanation:

Tenemos un total de:

4 libros de matemáticas

3 libros de biología

3 libros de religión

10 libros en total.

Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.

Primer libro (tenemos 10 opciones)

segundo libro (tenemos 9 opciones, porque ya colocamos un libro)

tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)

Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:

C = 10*9*8*7*6*5*4*3*2*1 = 10!

Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.

Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.

Entonces el número total de combinaciones diferentes es:

[tex]C = \frac{10!}{3!*4!*3!} = \frac{10*9*8*7*6*5*4*3*2*1}{(3*2*1)*(4*3*2*1)*(3*2*1)} = 4,200[/tex]

Hay 4200 diferentes formas de ordenar los libros.

Answer:

your answer is A.

Step-by-step explanation:

1280%20=256

256 x 45=115.20

hope this helps<3

Answer:

The width of the interval would increase.

Step-by-step explanation:

Answer:

its 7.5 pi

Step-by-step explanation:

The length of the arc of the particle circle is equal to  23.55 units

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle

Arc length = 5×3π/2

                  = 15π/2

                  = 15×3.14 /2

                  = 23.55 units

Hence The length of the arc of the particle circle is equal to  23.55 units

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Answer:

Yay!!!! Ty for the points!!!!!!!!!!!

I don't have a fav character....I luv BTS - they r real!!!

Answer:

The number you are looking for is 14.

Answer:

(1, -3)

Step-by-step explanation:

If the point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

To get the coordinate of P', we will replace x as 6 and y as -1 in the translation given as shown

Coordinate of P' = (6 -5, -1, -2)

Coordinate of P' = (1, -3)

hence the coordinate of P' is (1, -3)

Answer:

p'(1 -3)

Step-by-step explanation:

Answer:

[tex]ratio \: = 3 \: to \: 5 \\ thus \: if \: 3 = 15 \\ then \: 5 = \frac{15 \times 5}{3} = 25[/tex]

Answer:

5 chapters per hour

Step-by-step explanation:

30chapters/6hours = 5 chapters/hour

Answer:

yes , see explanation

Step-by-step explanation:

We require 2 equations with the recurring 3 placed after the decimal point.

let x = 0.7333..  ( multiply both sides by 10 and 100 )

10x = 7.333... → (1)

100x = 73.333.... → (2)

Subtract (1) from (2) , eliminating the recurring 3

90x = 66 ( divide both sides by 90 )

x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]

Answer:C=2πA=2·π·1≈3.54491

Step-by-step explanation:

Answer:

119.32

Step-by-step explanation:

The formula for the area of a circle is:

A = πr², where π = 3.14 and r = radius

The formula for the circumference of a circle is:

C = 2πr, where π = 3.14 and r = radius

So, in order to solve for circumference, you need to solve for 'r'.  Using the formula for area:

1134.11 = πr²

Divide by π (3.14): 1134.11/3.14 = πr²/3.14 or 361.2 = r²

Take the square root of both sides: √361.2 = √r² or r≈19

Use the value of r = 19 to solve for circumference:

C = 2π(19) = 2(3.14)(19) = 119.32 meters

Answer: 42 minutes

Step-by-step explanation: