((PLEASE HELP URGENT))
Points P, Q R, and S are collinear Point Q is between P and R. R is between Q and S, and PQ=RS, If PS = 27 and PR= 21, what is the value of QR? ​

Answer:

False, assuming "combined" means "added or subtracted and would simplify."

[tex]x^2[/tex] and [tex]x[/tex] cannot be combined with addition or subtraction.  They are not like terms.

Step-by-step explanation:

Combining like terms only works if the variables and the powers on the variables match perfectly.  

Examples:

[tex]x^2[/tex] and [tex]x[/tex] don't have matching powers, so they're not like terms.

[tex]x^2[/tex] and [tex]y^2[/tex] have the same powers, but the variables don't match, so they're not like terms.

Anything can be multiplied together though.  So that's a different situation.

Answer:

The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes. This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes ).

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

First let us create an equation for this problem

     (24 cupcakes)( $ of each cupcake) + ( $16 layer cake ) = $52

Let's say that C will represent the $ of each cupcake to make it easier

Solving it....

     24C + 16 = 52

     24C = 36

Divide both sides by 24

          C = 1.5

Therefore, each cupcake cost $1.5

We can check to see if this works....

     24(1.5) + 16 = total cost

            36 + 16 = 52, so this is correct

Hope that helped! Best of luck <3

Answer:

False.

Step-by-step explanation:

.

17+1= 18

12= -6

12-17= -5 + 1 =-4.

Answer:

False

Step-by-step explanation:

12- (17 + 1) = (12 - 17) + 1

PEMDAS says parentheses first

12- (18) = (-5) + 1

Then add and subtract

-6 = -4

They are not equal

Answer:

Each of the domain values, x, should only output a single unique range value, y.

This example is a relation and not a function because the the domain value of -1 output 2 distinct range values.

-1 outputs a 3

and

-1 outputs a 5

If I were to draw a vertical line at the domain value of -1 that vertical line would intersect the points (-1,3) and (-1,5). Which indicates that the relation is not a function.

Answer:

None of the following set of points represents a function .

Answer:

less then 90º

Step-by-step explanation:

an acute angle is an angle which is less then 90º

Answer:

Step-by-step explanation:

Given,

[tex] \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{ {9}^{5} } } [/tex]

[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{9 \times 9 \times 9 \times 9 \times 9} } [/tex]

[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{9 \sqrt[4]{9} } [/tex]

[tex] = \frac{ \sqrt{9} }{9} [/tex]

[tex] = \frac{ {9}^{ \frac{1}{2} } }{ {9}^{1} } [/tex]

[tex] = {9}^{ \frac{1}{2} - 1} [/tex]

[tex] = {9}^{ - \frac{1}{2} } (ans)[/tex]

Answer:

<ALS - <2 = <1

< LDA + <ADE = 180  degrees

Step-by-step explanation:

<ALS = <1+<2

<ALS - <2 = <1

< LDA + <ADE = 180  degrees since it forms a straight line

Answer:n =21

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{2}{9} + \frac{1}{3} \\ by \: taking \: out \: the \: lcm \: of \: 9 \: and \: 3 \: \\ we \: get \: 9\: as \: lcm \\ now \\ \frac{2 \times 1 + 1 \times 3}{9} \\ \frac{2 + 3}{9} \\ \frac{5}{9} [/tex]

Answer:

1. [tex]\sqrt{218}[/tex]

2. [tex]\sqrt{89}[/tex]

3. [tex]2\sqrt{17}[/tex]

Step-by-step explanation:

The formula to find the distance between any two points on a coordinate plane is as follows:

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the two points one is trying to find the distance between. Substitute the points in and solve for the distance between them for each respective problem.

1.

Points: [tex](-4, 6),\ \ (3, -7)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]

[tex]D=\sqrt{(-4-3)^2+(6+7)^2}[/tex]

[tex]D=\sqrt{(-7)^2+(13)^2}[/tex]

[tex]D=\sqrt{49+169}[/tex]

[tex]D=\sqrt{218}[/tex]

2.

Points: [tex](-6, -5)\ \ (2,0)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]

[tex]D=\sqrt{(-6-2)^2+(-5-0)^2}[/tex]

[tex]D=\sqrt{(-8)^2+(-5)^2}[/tex]

[tex]D=\sqrt{64+25}[/tex]

[tex]D=\sqrt{89}[/tex]

3.

Points: [tex](-1, 4)\ \ (1,-4)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]

[tex]D=\sqrt{(-1-1)^2+(4+4)^2}[/tex]

[tex]D=\sqrt{(-2)^2+(8)^2}[/tex]

[tex]D=\sqrt{4+64}[/tex]

[tex]D=\sqrt{68}[/tex]

[tex]D=2\sqrt{17}[/tex]

Answer:

$148

Step-by-step explanation:

$9.25 x 16 hours = $148

Answer:

- 6[tex]x^{4}[/tex] + 14x³ + 8x² - 18x - 10

Step-by-step explanation:

Given

(3x² - 4x - 5)(- 2x² + 2x + 2)

Each term in the second factor is multiplied by each term in the first factor, that is

3x²(- 2x² + 2x + 2) - 4x(- 2x² + 2x + 2) - 5(- 2x² + 2x + 2) ← distribute parenthesis

= - 6[tex]x^{4}[/tex] + 6x³ + 6x² + 8x³ - 8x² - 8x + 10x² - 10x - 10 ← collect like terms

= - 6[tex]x^{4}[/tex] + 14x³ + 8x² - 18x - 10

Answer:

GI=15

Step-by-step explanation:

GI=HI+GH

GI=12+3= 15

I hope I helped you^_^

Hi! I'm happy to help.

To solve this we need to know what is happening. This line segment was split into two parts by H. GH (part 1) and HI (part 2).

These two parts together equal the total length of the line segment. We learn that GH is 3, and HI is 12.

12+3=15

Now, we know that GI has a length of 15.

I hope this was helpful, keep learning! :D

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Hi

First dont panic. this one is pretty easy.

you known that the perimeter is the addition of every sides of a figure.

you have the total perimeter : 84.6

so now you just have to withdraw every side you have to the total , and the missing measure will be the result.

have a try ! you can make it.

Answer:

97

Step-by-step explanation:

388 (number of tickets) / 4 (number of groups (adults, and the 3 times as many kids))

If the number of student tickets sold was three times the number of adult tickets sold, 97 adult tickets were sold.

Let's assume the number of adult tickets sold is 'x.'

According to the information given, the number of student tickets sold was three times the number of adult tickets sold. So, the number of student tickets sold is 3x.

The total number of tickets sold is the sum of the adult and student tickets, which is 388:

x + 3x = 388

Now, combine like terms:

4x = 388

To find the value of 'x,' divide both sides of the equation by 4:

x = 388 / 4

x = 97

To verify the result, let's find the number of student tickets:

Number of student tickets = 3 * 97 = 291

Now, let's add the adult and student tickets:

97 (adult) + 291 (student) = 388

The result checks out, and we have 97 adult tickets and 291 student tickets, which together sum up to the total of 388 tickets sold for the school play.

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interval notation of x<2

x=1

Step-by-step explanation:

for a=

[tex] \frac{s - n}{n} [/tex]

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

ball$

Step-by-step explanation:

<3

Answer:

Step-by-step explanation:

[tex]U=\{(x,y)\ \zeta\ y=|x+1| \ and\ x \in \{-2,-1,0,1,2\}\ \}\\\\\begin{array}{|c|c|}x&y\\---&---\\-2&2\\-1&0\\0&2\\1 & 4\\2&6\\---&---\\\end{array}\\\\U=\{(-2,2),(-1,0),(0,2),(1,4),(2,6)\}\\[/tex]

Answer:

2 / (-2,2)

Step-by-step explanation:

Answer:

$14.50

Step-by-step explanation:

Is the answer because we don't put a decimmel pint after the number

The property of real numbers demonstrated in the given statement is the "Reflexive Property of Equality."

The Reflexive Property of Equality is one of the fundamental properties of real numbers, stating that any real number is always equal to itself. In mathematical terms, for any real number 'a,' the Reflexive Property is expressed as:

a = a

This property is self-evident, as it simply means that any quantity or value is identical to itself. In the provided statement, the cost of one item sold for $14.50 is precisely $14.50, showing that the item's cost is equal to itself.

To further illustrate this concept, consider any real number 'x.' According to the Reflexive Property, we have:

x = x

This applies to all real numbers, whether they are whole numbers, decimals, fractions, negative numbers, or irrational numbers. For example:

1 = 1

5.3 = 5.3

-2 = -2

π = π (pi)

No matter what value 'x' represents, the Reflexive Property holds true for all real numbers. It is a fundamental principle that underpins many mathematical operations and proofs.

In summary, the Reflexive Property of Equality states that any real number is equal to itself. The given statement, "The cost of one item sold for $14.50 is $14.50," exemplifies this property, showing that $14.50 is indeed equal to $14.50, thus reaffirming the reflexive nature of real numbers.

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Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units

What is graph transformation?

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.

Graphs can be extended, rotated, inverted, or any combination of these transformations; they can also be translated or moved along the xyxy plane. The formulas "move the function f(x)f(x) by cc units in some direction," "stretch the function f(x)f(x) by cc units," and "rotate the function f(x)f(x) by xx units about the xx-, yy-, or zz-axis" are frequently used in mathematical issues. In every instance, the transformation has specific, calculable effects on the underlying function.

Since the triangle ABC and DEF is similar

So we can write,

DE/BC=EF/AB=FD/CA

scale factor =Length of CA/length of DF

                     =6/3

                      =2:1

Reflected at y axis i.e x=0

and raised by 2 units.

Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units

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Step-by-step explanation:

In triangle ADE:

sum of all angles is 180.

3x-10+58+42=180

3x+90=180

3x=180-90

3x=90

x=90/3

x=30

As line DA and CB are parallel:

angle D=angle C

angle y=58

In angle BCE, sum of angles is 180.

z+58+42=180

z+100=180

z=180-100

z=80

Answer:

The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent. Answer: answer is 100/7 %