11/6 = 1/3 + p
(Find the common denominator first.)

Answer:

14

Step-by-step explanation:

2 plus 5 plus 7

Answer:

x=206

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.

What is a parabola ?

A parabola is a plane curve that is produced when a point moves so that its distance from a given point equals its distance from a fixed line.

We know that , the standard form or general equation of a parabola is given by :

y  = a ( x - h )² + k

where : vertex is (h, k) and focus ( h , k + p)

We know that here directrix is y = k - p and a is a = [tex]\frac{1}{4p}[/tex]

It is given that focus is (2 , 6).

From focus :

h = 2 and k + p = 6

whereas from directrix :

k - p = 4

Adding both

k + p = 4

k - p = 6

We get :

2k = 10

or

k = 5

So ,

p = 1

And vertex will be :

(h , k) = (2 , 5).

The vertical distance from vertex to directrix p = 1 :

y  = a ( x - 2 )² + 5

here , a = [tex]\frac{1}{4p}[/tex] or a = 1/4

So , the standard form of given parabola will be :

y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5

Therefore , the standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.

Learn more about parabola here :

https://brainly.com/question/14502549

#SPJ2

Answer:

C

Step-by-step explanation:

I counted by recording all the numbers nd steps

Answer:

C

Step-by-step explanation:

Answer:

wfek

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

120 times 0.75 =90

Step-by-step explanation:

The question is not well structured. We can say;

$393.3 in 10 years investment at rate of 10% is equivalent to what?

Given

Amount invested = $393.3 (principal)

Time = 10years

Rate = 10% (assumed rate)

Required

Amount after 10 years

Amount = Principal + Interest

First we need to get the simple interest using the formula

SI = PRT/100

SI = $393.3 * 10 * 10/100

SI = $393.3*100/100

SI = $393.3

Amount in 10years = $393.3 + $393.3

Amount in 10years = $786.6

Hence $393.3 in 10 years investment at rate of 10% is equivalent to $786.6.

Note that the rate was assumed. Any value of the rate can be used. Just employ the same calculation steps.

Answer:

D.

Step-by-step explanation:

Answer:

the answer is d 64 because a rational number is a whole number not decimals.

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

One third

The centroid of a triangle divides each median.

The shorter segment is 1/3 and the length of the entire segment is 1

The centroid of a triangle divides the median in the following ratio

[tex]\mathbf{Ratio = 2 : 1}[/tex]

The fraction of the shorter segment is:

[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]

[tex]\mathbf{Short = \frac{1}{3}}[/tex]

Hence, the shorter segment is 1/3, while the entire segment is 1.

Read more about centroids at:

https://brainly.com/question/11891965

Answer:

z = -1

Step-by-step explanation:

add like terms: 13z = -13

divide both sides by 13: z = -1

Answer:

z=-1

Step-by-step explanation:

Combine like terms: 11+2 ( 13z )

Divide: -13/13 ( -1 )

Answer:

Step-by-step explanation:

If you write 1 instead of y, x would be 5/8 so ratio is 1/5:8=8/5

Answer:

Following are the solution to this question:

Step-by-step explanation:

In the query, there is an error. This will find Angle YXZ and the angle YZX.  

The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.

[tex]\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\[/tex]

[tex]\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}[/tex]

Answer:

$20

Step-by-step explanation:

Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.

30s+4a=720

25s+4a=620

What is the cost for each student ticket?

Solution:

30s+4a=720

(1)

25s+4a=620 (2)

Subtract (2) from (1)

30s - 25s = 720 - 620

5s = 100

Divide both sides by 5

s = 100/5

= 20

s = $20

Substitute the value of s into (1)

30s + 4a = 720

30(20) + 4a = 720

600 + 4a = 720

4a = 720 - 600

4a = 120

a = 120 / 4

= 30

a = $30

Each student tickets cost $20

Answer:

24 quarts of green paint

Answer Hope this helps ^_^ Diamond is the name

Seven more than a number

Step-by-step explanation:

More than means + that number after the term. Because +7 comes after y, +7 is more than.

Answer:

x < -8

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define inequality

12 < -3(x + 4)

Step 2: Solve for x

Here we see that any value x that is smaller than -8 would work.

Answer:

Correct Answer is B

39 m

Step-by-step explanation:

Perimeter is the sum of all sides, and if the length is 6m more than the width, then is 39

39 + 39 = 78

144 - 78 = 66

66/2 = 33

39m is 6m more than 33m.

The sum of all sides 39 + 39 + 33 + 33 = 144

Answer:

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.

Step-by-step explanation:

Hope this helps

Answer:

5.196 m

Step-by-step explanation:

p = La perpendicular del triángulo es la longitud de la antena.

h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m

[tex]\theta[/tex] = Incline el cable con el suelo = [tex]60^{\circ}[/tex]

De las funciones trigonométricas sabemos que

[tex]\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}[/tex]

La longitud de la antena es 5.196 m.

The constant of proportionality for the ratio of cubs to female bears is 3.

The constant of proportionality is typically used when we are comparing something with another thing.

In this case, since every female bear has 3 baby cubs, the constant of proportionality for the ratio of cubs to female bears will be:

= 3/1

= 3

In conclusion, the correct option is 3.

Read related link on:

https://brainly.com/question/18636645

Answer:

50 son las veses que me pasie, y el 15 son otras actividades que realice

Step-by-step explanation:

La r en ese lugar esta multiplicando al 50

Answer:

.50 means cost per ride and 15 ticket cost

Step-by-step explanation:

say there are 4 ride you want to go on, lets substitute r, rides, with 4

.50(4) + 15

.50 times 4 is 2

so now we have 2 + 15

2 + 15 = 17

so you have spent $17 at the carnival.

Answer: 3,618

Step-by-step explanation: You multiply 27 and 134 which equals 3,618.

Answer:

There were 3,618 chairs reserved for the workshop.

Step-by-step explanation:

134 chairs per 27 rooms

134*27 = 3,618

Answer:

y= -4x +3

Step-by-step explanation:

① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.

x -4y= 20

4y= x -20

y= ¼x -5 (÷4 on both sides)

∴ Gradient of line= ¼

② Find the gradient of the new line.

The product of the gradients of perpendicular lines is -1.

¼(gradient of line)= -1

gradient of line

= -1 ÷¼

= -1 ×4

= -4

③ Substitute the value of the gradient into the equation.

y= -4x +c

④ Find the value of c by substituting a pair of coordinates.

When x= 2, y= -5,

-5= -4(2) +c

-5= -8 +c

c= -5 +8 (+8 on both sides)

c= 3

Thus, the equation of the line is y= -4x +3.

Answer:

HI FG

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Vertex: (-4,0); points down; y-intercept: -8

Step-by-step explanation: