Identify the constant of proportionality from the graph.


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Answer:

(x + 5)²

Step-by-step explanation:

Given

x² + 10x

To complete the square

add ( half the coefficient of the x- term )² to x² + 10x

x² + 2(5)x + 25

Then

x² + 10x + 25 = (x + 5)²

Answer:

7, 11, 14 feet from shortest to longest

Step-by-step explanation:

Let's say that the shortest pipe is equal to x, and work from there.

The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x

The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.

The three pieces added up make up the 32 feet pipe, so we can write this as

(2*x) + (4+x) + x = 32

2*x + 4 + x + x = 32

4 * x + 4 = 32

subtract 4 from both sides to isolate the x and its coefficient

4 * x = 28

divide both sides by 4 to isolate the x

x= 7

Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long

Answer:

[tex]6(4c + 6d + 3})[/tex]

Step-by-step explanation:

Given

[tex]{24c + 36d + 18}[/tex]

Required

Apply distributive property

We have:

[tex]{24c + 36d + 18}[/tex]

Factor out 6 (to apply distributive property)

[tex]{24c + 36d + 18} = 6(4c + 6d + 3})[/tex]

Hence, the equivalent is:

[tex]6(4c + 6d + 3})[/tex]

Answer:

9.88 units

Step-by-step explanation:

We are given that area of triangle  is given by

[tex]A=\sqrt{s(s-21)(s-17)(s-10)}[/tex]

s=Half perimeter

By comparing with

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

We get

a=21

b=17

c=10

[tex]s=\frac{a+b+c}{2}=\frac{21+17+10}{2}=24[/tex]

Now, the area

[tex]A=\sqrt{24(24-21)(24-17)(24-10)}[/tex]

A=84

Area of triangle, [tex]A=\frac{1}{2}\times bh[/tex]

b=17

[tex]84=\frac{1}{2}(17)(h)[/tex]

[tex]h=\frac{84\times 2}{17}[/tex]

[tex]h=9.88 units[/tex]

Hence, the height of the triangle=9.88 units

Answer:

x^4-8x^3+17x^2-4x+14

Step-by-step explanation:

Answer:

nan

Step-by-step explanation:

see the above picture

Answer:

0.002 seconds

Step-by-step explanation:

Wave period = Wavelength/Velocity

Period = 6/3,000

Period = 0.002 seconds

Answer:

17.00 and 17,000.00

this is your answer to ur question

Answer:

The answer is C. [tex]256\pi[/tex] [tex]in^2[/tex].

Step-by-step explanation:

To solve for the surface area of this cylinder, start by using the cylinder surface area formula, which is [tex]SA=2\pi rh+2\pi r^{2}[/tex]. Next, plug in the information given from the problem into the formula, which will look like [tex]SA=(2)(\pi )(8in)(8in)+(2)(\pi )(8in^{2})[/tex]. Then, simplify the equation, which will look like [tex]SA=(128in)(\pi) +(128in)(\pi)[/tex]. The next step is to simplify the equation further, which will look like [tex]SA= 256\pi[/tex] [tex]in^{2}[/tex]. The final answer is [tex]256 \pi[/tex] [tex]in^2[/tex].

Answer:

2lnf .÷f35%vbbcy^hjv6bs8nc

Explanation in pictures.

Hope this helps!! Have a good day!

Answer:

4/5 of the wall

Step-by-step explanation:

In 1/4 of an hour, 1/5 of the wall is painted. That means that

in 4/4 of an hour (which is an hour), 4/5 of the wall is painted.

4/5 is your answer

Answer:

the decimal number 6.45 written in scientific notation is 6.45 × 100 and it has 3 significant figures.

Step-by-step explanation:

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2) +3x(6-y) -7xy

Distribute

xy -2x +18x-3xy -7xy

Combine like terms

-9xy+16x

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2)+3x(6-y)-7xy

xy-2x+18x-3xy-7xy

xy-3xy-7xy-2x+18x

-9xy+16x

When two line segments intersects, a set of vertically opposite angles are formed. So that by comparison of angles formed in the attachment, a set of vertically opposite angles formed are: >AOC and >BOD; then >AOD and >BOC.

A pair of vertically opposite angles are formed when two lines meet at a point. And the pair of vertically opposite angles formed are said to have equal size.

From the given question, line segment AB intersecting CD at point O would produce a set of vertically opposite angles. So that each pair has equal size.

From the attached diagram, it can be observed that;

m>AOC = m>BOC = m>AOD = m>BOD = [tex]90^{o}[/tex]

But;

m>AOC ≅ m>BOD = [tex]90^{o}[/tex] (vertically opposite angle property)

also,

m>AOD ≅ m>BOC = [tex]90^{o}[/tex] (vertically opposite angle property)

Therefore it can be verified that each pair of vertically opposite angles are equal.

NB: The required diagram to the question is herewith attached to this question for more clarifications and reference.

For more information, visit: https://brainly.com/question/68367

Answer:

The variable

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  25°

Step-by-step explanation:

Each diagonal represents a transversal between parallel lines. Alternate interior angles are congruent, so ...

  ∠BDC ≅ ∠DBA = 25°

Answer:

The correct answer is (B)

Step-by-step explanation:

remember it is (x,y) so -4 would be on the x axis, whereas the 0, is on the y axis.

Answer:

[tex]\frac{wx}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{7wxy}{35y}[/tex]

Cancel y on numerator/ denominator and 7/ 35 by 7, leaving

[tex]\frac{xx}{5}[/tex]

Answer:

D

Step-by-step explanation:

for a table to represent a function each x value can only have one y value here we see 5 have two different values, 3 and 2, so it is not a function

I think the answer is C

I'm not sure

Answer:

D. ½y(x+z)

Step-by-step explanation:

the area = (x.y)+(½y(z-x))

= xy + ½ (yz -xy)

= xy +½yz -½xy

= ½xy + ½yz

= ½y(x+z)

Answer:

The expression is not factorable with rational numbers.

x² − 4x + 7

Answer:

2

Step-by-step explanation:

Basically, the period of a sinusoidal graph is the distance between one cycle to another. As can be visually seen, this is 2.

Answer:

2

Step-by-step explanation:

its right on Acellus

Answer:

a) 9

b) -3

Step-by-step explanation:

a)

|9+x|=2x

9 + x = 2x

   - x    -x

---------------

 9   =    x

b)

|x+6|=2x+9

x +6 = 2x +9

-x          -x

     6 = x + 9

    -9         -9

    --------------

       -3 = x

Answer:

a,0

Step-by-step explanation:

Look at point (a,b). Point (a,b) has the same x-coordinate as P. And then the y coordinate is 0 because it just sits on the x axis and doesn't go up any. Therefore the answer is P: (a,0).

Answer:

use the information provided to write the standard form equation of the circle

1. ends of a diameter: (11,-6) and (1,14)

use the information provided to write the genral conic form equation of each circle.

1. three points of the circle:

( 7,-4)(-3,-4) and ( 6,-7)

identify the centere and radius. then sketch the graph

1. x^2+y^2-4x-14=0

Answer:

9/8 = n

Step-by-step explanation:

9 = 8n

Divide each side by 8

9/8 = 8n/8

9/8 = n

Answer:

Kim is 20 years old

Step-by-step explanation:

We have to make equations;

Kim= laura+10 so L+10

Laura is twice as old as Melissa so Laura will be

2 X M = 2M

Input values in to the equation

As Kim is 10 years older than Laura it will be 10+10

The age of Kim is 20 years.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

Kim's age = laura' age +10 years  

= x +10

As, Laura is twice as old as Melissa

Laura's age = 2*y

Now, Melissa is 5 years old now

So,

2y = 2X5= 10 years old

So, the Kim's age= 10+ 10 = 20 years old

Learn more about equation here:

https://brainly.com/question/10413253

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