What is the purpose of a reference point? to provide a standard system of measurement to establish a point from which to measure future distance, or if the movement has occurred to determine the speed of an object in miles per hour to provide a standard form which to evaluate variables in an experiment

Answer:

(h+9)⋅(h+2)

Step-by-step explanation:

1.1     Factoring  h2+11h+18  

The first term is,  h2  its coefficient is  1 .

The middle term is,  +11h  its coefficient is  11 .

The last term, "the constant", is  +18  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 18 = 18  

Step-2 : Find two factors of  18  whose sum equals the coefficient of the middle term, which is   11 . -18    +    -1    =    -19  

     -9    +    -2    =    -11  

     -6    +    -3    =    -9  

     -3    +    -6    =    -9  

     -2    +    -9    =    -11  

     -1    +    -18    =    -19  

     1    +    18    =    19  

     2    +    9    =    11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  9  

                    h2 + 2h + 9h + 18

Step-4 : Add up the first 2 terms, pulling out like factors :

                   h • (h+2)

             Add up the last 2 terms, pulling out common factors :

                   9 • (h+2)

Step-5 : Add up the four terms of step 4 :

                   (h+9)  •  (h+2)

            Which is the desired factorization

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(h + 9)(h + 2)}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ {h}^{2} + 11h + 18}[/tex]

Here, we have to find out two numbers that adds to 11 and multiplies to 18

[tex] \dashrightarrow{ \sf{ {h}^{2} + (9 + 2)h + 18}}[/tex]

Distribute h through the parentheses

[tex] \dashrightarrow{ \sf{ {h}^{2} + 9h + 2h + 18}}[/tex]

Take h as common. Similarly, take 2 as common

[tex] \dashrightarrow{ \sf{h(h + 9) + 2(h + 9)}}[/tex]

[tex] \dashrightarrow{ \sf{(h + 9)(h + 2)}}[/tex]

Hope I helped!

Best regards! :F

Answer:

When we have a rectangle of width W and length L, the area of this rectangle can be calculated as:

A = W*L

In this case we have:

W = x

L = 10/x.

Then the area of the rectangle will be:

A = W*L = x*(10/x) = 10

So the value of x cancels in the equation, which means that we can not find the value of x.

Now, as L = 10/x we can find some restrictions:

if x = 0, we would have L = 10/0

So we can not have x = 0.

And as W = x, this represents a positive measure, we also have that x can not be a negative number.

So the relation:

W = x

L = 10/x

Gives us all the possible combinations of width and length such that the area of the rectangle is exactly 10 square units.

Answer:

third graph

Step-by-step explanation:

Answer:

The first one:

0.05, 0.2, 0.48, 0.6

Based on the information given his total employment compensation is: a. $46,650

Using this formula

Total employment compensation=Total job benefits -Total job expenses for traveling and for professional development

Where:

Total job benefits=$50,150

Total job expenses=$3,500

Let plug in the formula

Total employment compensation=$50,150-$3,500

Total employment compensation=$46,650

Inconclusion his total employment compensation is: a. $46,650

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Answer:

A. 46,650

Step-by-step explanation:

Edge 2022.

Answer:

18 dish soaps

Step-by-step explanation:

Answer:

it's 18 dish soap dish bottle.

Step-by-step explanation:

Divide total cost by quantity.

$36 / 4 = $9 per basketball

Answer:

y=1/5x+7/5

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

Lines given in the graph represent the piecewise function,

We will find the domain of the given pieces in each quadrant of the graph.

For a line in quadrant 2,

Domain (set of x-values) → [-4, -2]

For second line in the same quadrant,

Domain : [-1, 0]

For a line in quadrant 4,

Domain : [1, 3]

Therefore, Option (1) is the correct option,

Option (1). 1 ≤ x ≤ 3

Answer:

x = 1

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ÷)

Answer:

nq = -3/5

Step-by-step explanation:

2nq = 3 + 7nq

5nq = -3

nq = -3/5

Answer: Same will get $4800

Step-by-step explanation:

If Sam will get 4 times the amount of money they will give Max then we can come up with the equation  s = 4m    where s is the amount that same get and m is the amount that Max will get.

And we know that if they combine their money they will have $6000 in total so we can also come up the equation s + m = 6000  

So using the equation

s= 4m  and s+m=6000  substitute the value of x into the second equation and sole for m ..

4m + m = 6000

5m = 6000

m =  1200

So we know that Max will get $1200 and Sam will get 4 times as much as that.

s= 4(1200)

s = 4800

Answer:

y=1/2x+0

Step-by-step explanation:

Since the slope is 1/2 and it starts at the origin, the b value is 0.

Answer:

1/2x

Step-by-step explanation:

Answer:

Need more?

Step-by-step explanation:

-x^2 + 3x + 2

Is this the answer?

Answer:

D

Explanation:

I'm just typing this part to get to 20 characters

X AND Y INTERCEPTS

1st Answer:

x = 9

Step-by-step explanation:

first you want to substitute the y

move the expression to the left

divide both sides

move the constant to the right

calculate

change the signs

2nd Answer:

x = -65/9  OR x = - 7 2/9, x = - 7.2

Step-by-step explanation:

first you want to substitute the y

move the expression to the left

divide both sides

move the constant to the right

calculate

Answer:

30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.

Step-by-step explanation:

Let 'x' liters of 30% solution and 'y' liters of 70% solution are added together to get the required 60 liters of 50% of the solution.

According to the question, 30% solution and 70% solution are mixed and so, we get

[tex]0.3x+0.7y=0.5 \cdot 60\\\Rightarrow 0.3x+0.7y=30----(1)[/tex]

Also, sum of the final solution should be 60 liters only so, we get

[tex]x+y=60----(2)[/tex]

Solving equations (1) and (2), we get

[tex]x=30 liters\\ y=30 liters[/tex]

Hence, we can say that 30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.

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Answer:

In general, a relationship f (x) = y is a function only if, for each value of x that you plug into it, you get only one value for y.

Step-by-step explanation:

Sometimes the only way to tell if a given relationship is a function or not is to try various values for x to see if they yield unique values for y.

Answer:

m = 4

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

5(m-2)-10=6+2(1-m)

5m-5*2-10=6+2*1-2*m

5m-10-10=6+2-2m

5m-20=8-2m

5m+2m=8+20

7m=28

m=28/7

m=4

Answer:

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram in the attachment.

From the diagram, it can be seen that the triangle is an isosceles triangle because two of its sides are parallel (i.e the same). Since two of the sides are the same, hence the two base angles will be the same.

From the diagram, <EFG = <EGF

Since  <EFG  = 55° hence  <EGF = y = 55°

Hence the va;ue of y is 55°

Answer:

10 √10

Step-by-step explanation:

Answer:

[tex]10\sqrt{10}[/tex]

Step-by-step explanation:

The largest perfect square of the factors of 1000 is 100. We can therefore convert √1000 like this:

√100 × 10

Next, we separate the numbers inside the √ as such:

√100 × √10

√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 1000 in simplest radical form as follows:

10√10

use the pythag theorem to find the missing side of the trIangle, then find the area of the triangle by using the formula 1/2(l*w). Then add the area of the two triangles to 200 and you have your answer.

Answer:

Try to use pythogorus theorum

Answer:

2x + 6 = 90

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees, so the sum of the angles is 90 degrees. We could let x be the measure of the angle. The other angle is x + 6, so the answer is x + x + 6 = 90, or 2x + 6 = 90

From the given measure whose angle is 6° less than the measure of its complement.

The measure of the two angles is 47° and 43° respectively.

Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves.  

Mathematically;

Let the first angle be a and the second angle be b

∴

a + b = 90°   (complemntary angles)

If one of the angles is 6° less than  its complement;

i.e.

Let a = 6

SO, the algebraic equation for the value of a is:

a = b - 6

 Replacing the value of a to solve the equation, we have:

(b - 6) + b = 90

2b - 6 = 90

2b = 90 - 6

2b = 86

b = 86/2

b = 43°

From a + b = 90°

a = 90° - 43°

a = 47°

Therefore, we can conclude that the measure of each angle is 47° and 43°.

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Answer:

[tex]\huge\boxed{xy = 2}[/tex]

Step-by-step explanation:

=> [tex]\sf (x+y)^2 = x^2 + y^2 + 2xy[/tex]

Given that [tex]\sf x + y = 3 , x^2 + y^2 = 5[/tex]

=> [tex]\sf (3)^2 = 5 + 2xy[/tex]

=> [tex]9 = 5 + 2xy[/tex]

=> [tex]9-5 = 2xy[/tex]

=> [tex]4 = 2xy[/tex]

Dividing both sides by 2

=> 2 = xy

OR

=> xy = 2

Answer:

yes it is rational

Step-by-step explanation:

it is rational because if 62 can be expressed as a ratio, then a quotient is the result you get when you divide one number by another number. For 62 to be a rational number, the quotient of two integers must equal 62. it can be expressed as a fraction in the form 62/1

Answer:

B) Irrational numbers

Step-by-step explanation:

The given number is [tex]70[/tex].

We know the number which doesn't have any fractional part or decimal part is an integer. Here, there is no fractional part with the number 70, so this is an integer.

This is one of counting numbers from the set of [tex]\{ 1,2,3,4,5,...\}[/tex], so this is a natural number.

Also, this belongs to the set of whole numbers [tex]\{0,1,2,3,...\}[/tex].

But, [tex]70[/tex] can be written in the form of  [tex]\frac {p}{q}[/tex] as [tex]70= \frac {70}{1}[/tex] where [tex]p=70[/tex] , [tex]q=1[/tex] are integers and [tex]q \neq 0[/tex], so this is a rational number.

We know that any number that belongs to the rational number is not an irrational number.

Hence, [tex]70[/tex] does not belong to the set of irrational numbers.

So, option [tex](B)[/tex] is correct.

Answer:

the correct answer is b

Step-by-step explanation:

i took the test