I need help with this math problem please

Answer:

10x + 8 = 21

x = 1.3

Step-by-step explanation:

a)

In pentagon ABCDE,

AB = DE = 2x + 3 and BC = CD = x + 1

Perimeter of pentagon ABCDE = 21

4x + 2(2x + 3) + 2(x + 1) = 21

4x + 4x + 6 + 2x + 2 = 21

[tex] \purple {\boxed {\bold{10x + 8 = 21}}} [/tex]

b)

10x = 21 - 8

10x = 13

[tex]x = \frac{13}{10} \\ x = 1.3 \: cm [/tex]

Answer:

Step-by-step explanation:

y4−

(y2−9)(y2+9)

9

Distribute:

=y4+

−1

9

y4+9

Combine Like Terms:

=y4+

−1

9

y4+9

=(y4+

−1

9

y4)+(9)

=

8

9

y4+9

Answer:

=

8

9

y4+9

The polynomial expression is divisible by 9

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial be represented as A

Now , A = y⁴ - (y² - 9)(y² + 9)

To prove that the expression y⁴ - (y² - 9)(y² + 9) is divisible by 9 for any value of y, we can use algebraic manipulation and factorization.

First, we can simplify the expression inside the parentheses:

y² - 9 = (y - 3)(y + 3)

y² + 9 = (y + 3i)(y - 3i)

where i is the imaginary unit, i.e., i² = -1.

Substituting these expressions back into the original equation, we get:

y⁴ - (y² - 9)(y² + 9) = y⁴ - (y - 3)(y + 3)(y + 3i)(y - 3i)

Now, we can factor out (y − 3)(y + 3) from the second term:

y⁴ - (y² - 9)(y^2 + 9) = y⁴ - (y² - 9)(y² + 9) + 9(y - 3)(y + 3)

= y⁴ - (y² - 3^2)(y² + 3²)

= (y²)² - (3²)²

= (y² + 3²)(y² - 3²)

= (y² + 9)(y² - 9)

= (y + 3i)(y - 3i)(y + 3)(y - 3)

Now, we can see that the expression is equal to the product of four factors: (y + 3i), (y - 3i), (y + 3), and (y - 3). Note that either (y + 3i) and (y - 3i) or (y + 3) and (y - 3) must have the same residue modulo 3, since there are only three residues modulo 3 (0, 1, and 2) and four factors. In either case, the product of the two factors that have the same residue modulo 3 is divisible by 3, and therefore the entire expression is divisible by 3.

Moreover, since (y + 3) and (y - 3) are both odd or both even, the product of (y + 3) and (y - 3) is divisible by 8, which implies that the entire expression is also divisible by 8.

Hence , the expression y⁴ - (y² - 9)(y² + 9) is divisible by both 3 and 8 for any value of y, and therefore it is also divisible by their least common multiple, which is 9

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To solve this system of equations, we have to cancel out a variable:

12x-4y+28=0

16y-110=48x

Reorder:

12x-4y=-28

-48x+16y=110

Multiply first equation by 4:

4(12x-4y=-28)

-48x+16y=110

=>

48x-16y=-112

-48x+16y=110

0x+0y=-2

0=-2

This can never be true, therefore there are NO SOLUTIONS

Answer:

No Solutions

Answer:

$3690

Step-by-step explanation:

Let's first find what percent of the original price it is being sold for.

100%-18%=82%

The water cooler is being sold for 82% of its original price.

Let's now find 82% of 4500.

0.82*4500=3690

The selling price is $3690

Answer:

3690

Step-by-step explanation:

the original price is 4500

for decreasing or discount we use this formula x discount upo 100 multiply by the original price. so for this question if we apply the formula it will be

18upon 100 x4500. the answer comes as 810. noww we subtract the original price from the discounted price. so 4500-810=3690. comes as ur selling price

Answer: Q = 124 and P = 29

Step-by-step explanation:

Triangles always = 180 degrees so do straight lines.

Answer:

P=29

Step-by-step explanation:

I took the diagnostic

If this helps please rate and give a thanks:)

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Good Luck!!

Answer:

It is important for bob to keep the receipt and record in the register so he can monitor how much money he has in the account. It prevents being overdrawn. Recording debits and deposits helps with budgeting.

Answer:

ummm

Step-by-step explanation:

what is the question

Answer:

2x-3>15 and 3-7x>17 =  

3-7x>17

-7x>14

x<-2

Step-by-step explanation:

Sorry this is not a proper equation. I think you meant this equation.

2x-3>15 and 3-7x>17

for this equation the answer is

3-7x>17

-7x>14

x<-2

Answer:

5

Step-by-step explanation:

The numerator is the value on top, above the denominator. In an arithmetic sequence you are increasing by the same amount each time. In this case, you are increasing by 1/2 each time. 4/2 plus 1/2 is 5/2, so your numerator is 5.

Answer:

1. The total time taken for group A to paint the wall together is 1.12 hours

2. The total time taken for group Z to paint the wall together is 1.03 hours

3. group Z can paint the wall faster

Step-by-step explanation:

The time spent on painting are;

Group A

Alex = 2.5 hours

Adam = 3.6 hours

Antimo = 4.7 hours

1. We have for group A

Alex's paint rate = 1 wall in 2.5 hours = 1/2.5 wall/hour

Adam's paint rate = 1 wall in 3.6 hours = 1/3.6 wall/hour

Antimo's paint rate = 1 wall in 4.7 hours = 1/4.7 wall/hour

When the three workers work together, we have;

1/2.5 wall/hour + 1/3.6 wall/hour + 1/4.7 wall/hour = 3767/4230 wall/hour

Therefore, the time for the three workers of group A to paint one wall is given as follows;

[tex]Time \ to \ paint \, one \, wall = \frac{1 \, wall}{\frac{3767}{4230} wall/hour} = 1\tfrac{463}{3767} hours[/tex]

The total time taken for group A to paint the wall together = 1.12 hours

2. The data for group Z is as follows;

Zairo = 2.2 hours

Zeno = 3.2 hours

Zubro = 4.9 hours

We have for group Z

Zairo's paint rate = 1 wall in 2.2 hours = 1/2.2 wall/hour

Zeno's paint rate = 1 wall in 3.2 hours = 1/3.2 wall/hour

Zubro's paint rate = 1 wall in 4.9 hours = 1/4.9 wall/hour

When the three workers work together, we have;

1/2.2 wall/hour + 1/3.2 wall/hour + 1/4.9 wall/hour = 8375/8624 wall/hour

Therefore, the time for the three workers of group Z to paint one wall is given as follows;

[tex]Time \ to \ paint \, one \, wall = \frac{1 \, wall}{\frac{8375}{8624} wall/hour} = 1\tfrac{249}{8375} hours[/tex]

The total time taken for group Z to paint the wall together = 1.03 hours

3. Since the total time for group A to paint the wall which is 1.2 hours is more than the total time for group Z to paint the wall which is 1.03 hours, group Z can paint the wall faster.

So the right answer is of option D

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

8

Step-by-step explanation:

It is in the one's place, so it is just 8x1, which is 8

Answer:

2 or more percents add up to 100% or one percent is 100%

Step-by-step explanation:

Answer:

7.2

Step-by-step explanation:

use the Pythagorean theorem to find the length of the hypotenuse

a squared+ b squared= c squared

4 squared+ 6 squared = c squared

16+ 36= c squared

52= c squared

52 = 7.2 squared

Answer:

The answer is B.

Step-by-step explanation:

Answer:

$43.8

Step-by-step explanation:

Large necklace = LN

Small necklace = SM

LN sells for 5.60

SN sells for 4.50

LN = 5.60

SN = 4.50

you have 3 LN and 6 SN.

LN total = 3 x $5.60 = 16.8

SN total = 6 x 4.50 = 27

Add both the totals.

27 + 16.8 = 43.8

Hope this helps!

Answer:

HE/SHE earns $43.80.

Step-by-step explanation:

5.60 x 3 = $16.80

4.50 x 6 = $27.00

In totle:

Answer:

The equation of a circle using the center [tex](2,0)[/tex] and the radius [tex]7[/tex]

[tex](x-2)^2+(y-0)^2= 49[/tex]

Step-by-step explanation:

-Directions:

To determine the following circle on a graph, you need the to look for a point that lands exactly on the center of the circle and to find the radius, you need look for a point that lands exactly on the outline of the circle and start counting from the center, to the point. Then, use both the center and the radius for the equation of a circle. After putting the center and radius on the equation of a circle, simplify the radius by the exponent [tex]2[/tex], because according to the equation of a circle, the radius is [tex]r^2[/tex].

-The equation of a circle

[tex](x-h)^2+(y-k)^2=r^2[/tex]

-Finding the center and the radius for the equation of a circle:

Center: [tex](2,0)[/tex]            Radius: [tex]7[/tex]

[tex](x-2)^2+(y-0)^2= 49[/tex]

Answer:

Original side of triangle = 6 units

Step-by-step explanation:

Given:

Perimeter = 45 units

Scale factor = 2.5 (Increase)

Find:

Original side of triangle = ?

Computation:

Original Perimeter = Perimeter / Scale factor

Original Perimeter = 45 units / 2.5

Original Perimeter = 18 units

Perimeter of an equilateral triangle = 3 (Side)

18 units = 3 (Side)

Side = 6 units

Original side of triangle = 6 units

Answer:

yes it is sas

Step-by-step explanation:

because one side is shared, they both have right angles and the other side is a given.

Answer:

SAS

Step-by-step explanation:

The sides are all equivalent so it is indeed a SAS triangle.

Answer: Yes

Step-by-step explanation: It is equal because each side has a chance of it rolling on either 1,2,3,4,5, and 6.

Answer:

a circle with center at (h, k) or (3, -4) and radius 3

Step-by-step explanation:

Next time, please share the answer choices.

(x - 3)^2 + (y + 4)^2 = 9 = 3^2

is a circle with center at (h, k) or (3, -4) and radius 3.

Answer:

17.80236

Step-by-step explanation:

The length of line segment CB is 5 units.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Given that, A=(8, 15), B = (12, 13) and C = (8, 10)

Here, substitute (x₁, y₁)= (8, 10) and (x₂, y₂)=(12, 13) in distance formula, we get

CB = √[(12-8)²+(13-10)²]

= √(4²+3²)

= √(16+9)

= √25

CB= 5 units

Therefore, the length of CB is 5 units.

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Answer:

1= 5x and 7x

2= 3x and 2x

Step-by-step explanation:

its hard to explain you just add them or minus them

Answer:

1) x = 7   y = 19      2) x = 1   y = 3

Step-by-step explanation:

1) y = 4x - 9

  y = 2x + 5          Since the equations are equal to y, set them equal to each other

4x - 9 = 2x + 5

-2x      - 2x            Subtract 2x from both sides

2x - 9 = 5

    + 9   + 9           Add 9 to both sides

2x = 14                  Divide both sides by 2

x = 7

Plug this into the first equation

y = 4(7) - 9           Multiply

y = 28 - 9            Subtract

y = 19

2) -3x + 6 = x + 2

   +3x      +3x              Add 3x to both sides

6 = 4x + 2

-2         - 2                   Subtract 2 from both sides

4 = 4x                          Divide both sides by 4

1 = x

Plug this into the second equation

y = 1 + 2                       Add

y = 3

Step-by-step explanation:

So lets count the time between 10:53 and 1:05

7 Mins to 11

2 Hours to one

5mins to 1:05

Total 2 hours 12 mins divided by 2 to find the middle

1 hour 6 mins. We add 1 hr 6 mins to 10:53.

10:53 + 6mins equals 11:59

11:59 + 1hour = 12:59

Answer c

Answer:

z = - 0.33

Step-by-step explanation:

Given that:

Mean (μ) = 73, standard deviation (σ) = 3.0

Z score is a measure in statistics to determine the number of standard deviation a value is above or below the mean of what is measured. If the value is above the mean it is positive but if it is below the mean it is negative. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate z-score for Umaima's exam grade, we need to calculate the z score of 72

For x = 72, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{72-73}{3} =-0.33[/tex]

z = - 0.33

Answer:

−0.33

Step-by-step explanation:

just did it oh khan

Answer:

Do u have like a worksheet for the problem because that kinda confusing , but I would love to help if you could screens shot or post the pic.

Step-by-step explanation:

Answer:

[tex] \overline{UZ}[/tex]

Step-by-step explanation:

[tex] \overline{UZ}[/tex] is passing through the center of the circle with center T. Therefore [tex] \overline{UZ}[/tex] is the diameter

Answer:

Line UZ

Step-by-step explanation:

This is Beacause Line UZ passes thru T which is the center of the circle.

The diameter is the length of the line through the center that touches two points on the edge of the circle.

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Answer:

2400  I'm sorry if im wrong I tried

Step-by-step explanation: