Solve the following system of equations graphically.
x + y - 4 = 0
x - y = 0
The solution lies in quadrant _____.

I

II

III

IV

Answer:

C

Step-by-step explanation:

Answer:

182

Step-by-step explanation:

2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )

= {182cm}^{2}

The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,

Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)

Now, the Area of a rectangular face is,

Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)

        = 160 cm²

The area of the triangle base,

Area = 0.5 × 4cm × 6cm = 12 cm²

Further, the total area of the Prism will be,

Total surface area = 160cm² + 2(12cm²) = 184cm²

Hence, the total surface area of the prism is 184 cm².

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Answer:

0.24

Step-by-step explanation:

Answer:

a = - 2, b = - 1

Step-by-step explanation:

If a polynomial f(x) is divisible by (x + h) then f(- h) = 0

P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is

P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is

- 1 + a - b + 2 = 0

a - b + 1 = 0 ( subtract 1 from both sides )

a - b = - 1 → (1)

P(x) is divisible by (x - 2) thus P(2) = 0 , that is

P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is

8 + 4a + 2b + 2 = 0

4a + 2b + 10 = 0 ( subtract 10 from both sides )

4a + 2b = - 10 → (2)

Solve (1) and (2) simultaneously

Multiply (1) by 2

2a - 2b = - 2 → (3)

Add (2) and (3) term by term eliminating the term in b

6a = - 12 ( divide both sides by 6 )

a = - 2

Substitute a = - 2 into (1) and solve for b

- 2 - b = - 1 ( add 2 to both sides )

- b = 1 ( multiply both sides by - 1 )

b = - 1

Answer:

So anytime you have same sides on both legs. You will have same angles for both that are not 90 degrees. So if all angles add up to 180. 180-90 = 90. 90/2 = 45 degrees

Answer:

J = 45

Step-by-step explanation:

Since the two sides are the same, the base angles must be equal.  Since it is a right triangle, the two angles share 90 degrees

90/2 = 45

Each angle is 45 degrees

J = 45

Answer:

Yes

Step-by-step explanation:

Statement                                         Reason

ab = bd                                               Given

ac=cd                                                  Given

bc = cb                                                definiton of reflex line

triangle abc is congruent to triangle dbc      side side side postulate

Answer: It has been very long since I did geometry but, the triangles are definitely congruent.

Step-by-step explanation:

I do not know the congruency statement but I can tell you why. First of all, those red lines on the triangles indicate that two sides of both triangles are congruent to each other. Lastly, both of them share one line which means, all lines are congruent to each other.

∠ABC=∠DBC

I hope this helps :)

Answer:

A. 10, 15, 15, 18, 22, 25, 28, 35, 36

Step-by-step explanation:

Stem and leaf plot

1    |     0 5 5 8

2   |     2 5 8

3   |    5 6

Example : 1 | 0 means 10

So, considering the examples :

1    |     0 5 5 8

10,15,15,15,18

2   |     2 5 8

22,25,28

3   |    5 6

35,36

So, the data set is 10,15,15,15,18,22,25,28,35,36

So, Option A is true

47.5 millimeters longer

The pencil is 47.5 millimeters longer than the crayon.

To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.

Given that length of the pencil = 13.5 centimeters

Length of the crayon = 87.5 millimeters

To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.

So, the length of the pencil in millimeters is:

13.5 centimeters × 10 millimeters/centimeter = 135 millimeters

Now we can calculate the difference in length between the pencil and the crayon:

Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters

Subtracting the lengths, we find that the pencil is:

135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.

Therefore, the pencil is 47.5 millimeters longer than the crayon.

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Answer:

Option A. 56

Step-by-step explanation:

The question talks about chosing 5 presenters out of 8 presenter.

This can be achieved b using the following formula:

nCr = n! /r! (n–r)!

n = 8

r = 5

8C5 = 8! / 5! (8 – 5)!

8C5 = 8! / 5! 3!

8C5 = (8 x 7 x 6) / (3 x 2 x 1)

8C5 = 56

Therefore, there are 56 ways in which the teacher can chose the presenters.

Answer: Choice A

Step-by-step explanation:

Answer: 6a. 3 1/3, 6b. 2 2/5, 6c. 1/4, 6d. 9/10

Step-by-step explanation: You can use math/way or Soc/ratic to find the answers. Math/way is a website, Socr/atic is an app.

Answer:

x = 93

Step-by-step explanation:

Given

<QSR = 35

<SRQ = 58

<SQP = x

Required

Find x

To find the value of x, a triangle needs to be drawn (See attachment).

From the attachment;

<SQP + <SQR = 180 ----------Angle on a straight line (Equation 1)

<SQR + <QSR + <SRQ = 180 ----------- Sum of angles in a s triangle (Equation 2)

Substitute <QSR = 35 and <SRQ = 58 in equation 2

<SQR + 35 + 58 = 180

<SQR + 93 = 180

Subtract 93 from both sides

<SQR + 93 - 93 = 180 - 93

<SQR = 87

SUbstitute 87 for <SQR in Equation 1

<SQP + 87 = 180

Subtract 87 from both sides

<SQP + 87 - 87 = 180 - 87

<SQP = 93

Recall that <SQP = x

So, x = 93

Answer:

x = 93

Step-by-step explanation:

cuz it is

Answer:

Step-by-step explanation:

We can combine the -7x and the -2x and the left side to get -9x and the 23 and 13 on the right side to get 36.

This gives us

-9x + 12 = 36

Subtacting 12 from both sides gives us

-9x = 24

dividing by -9 gives us

x = - 8/3

Answer:

see below

Step-by-step explanation:

-7x + 12 – 2x = 23 + 13.0

Combine like terms

(-7x-2x) +12 = (23+13)

-9x +12 = 36

Subtract 12 from each side

-9x +12 -12 = 36 -12

-9x = 24

Divide each side by -9

-9x/-9 = 24/-9

x = -8/3

Answer:

I think the answer is

B. it stretches the graph horizontally by a factor of 3

Step-by-step explanation:

Answer:

It shrinks the graph vertically to 1/3 its original height

Answer:

The correct option is B:

B) x superscript five-thirds Baseline y superscript one-third

Step-by-step explanation:

The expression can be written as:

[tex]\sqrt[3]{x^5y}[/tex]

We know that cube root can also be written as the power of 1/3, So

[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]

Multiplying the power with both variables

[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]

Simplifying the equation to get final form

[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]

As we can see that it is similar to the option B which is

B) x superscript five-thirds Baseline y superscript one- third

the correct option is B

The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;

The expression can be written as;

[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]

In essence, Upon simplification; we have;

Therefore, we have;

The expression therefore becomes;

[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]

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Answer:

d, 700

Step-by-step explanation:

it's the only one that makes sense

Step-by-step explanation:

12 x 2 = 24 + x = 24x - 6 = 18x

Hope This Is Correct For You

Answer:

Can you take a picture of the question so i could help!

Step-by-step explanation:

Answer:

6 bags

Step-by-step explanation:

8x3=24

24/4=6

Answer:

CBA = DEA

Step-by-step explanation:

Theyre the only right angles listed.

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

To determine for which value of x a pair of expressions will be equal, we will need to set them equal to each other and then solve for x.

[tex]3x-4=2x+1[/tex]

First, we can add 4 to each side

[tex]3x=2x+5[/tex]

Now we can subtract 2x from each side

[tex]x=5[/tex]

Now, just to check our answer, we can plug in our answer back into the original equation to see whether we get the same result for each side

[tex]3(5)-4=2(5)+1\\\\15-4=10+1\\\\11=11[/tex]

Answer:

5

Step-by-step explanation:

1) make them equal to each other

2) put all the constants on one side and all the ones with x on the other

3) solve

Answer:

4

Step-by-step explanation:

g(x)=0

Plug in 0

5*23(0) + 4

5*(0) + 4

0 + 4

= 4

Answer: n=1.25x

Step-by-step explanation:

X represent the number of yards and n represent the total amount

The function which shows the fabric with a price of $1.25 per square yard will be y = 1.25x where x represents square yard and y represent the price of fabric.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function.

Given that the

Price of fabric = $1.25/ yard

Let's say the price of fabric = y

Square yard = x

Then y = 1.25x so it will be the correct answer.

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Answer:

1. c

i think its right i hope it is im so sorry if it is not

Answer:

1) 2 months

Step-by-step explanation:

y = 950x + 600

y = 1100x + 300

950x + 600 = 1100x + 300

-950x -950x

____________________ subtract slope from both sides

600 = 150x + 300 ( doesn't matter which one)

-300 - 300

____________________ subtract

300 = 150x

_________ Divide each # with the slope

150 = 150

2 = x

____________Answer 2_____________

Answer:

The Resort Complex would save you 300.

step-by-step solution:

you have to do is plug in the number of months.

then multiply

then subtract both Complexes

and compare

The Resort Complex. : y = 950(6) + 600 - 6300

The uptown suite duplex : y = 1100(6) + 300 - 6900

HOPE THIS HELPS!

Answer:

Add the exponents

Step-by-step explanation:

Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.

EX:

x multiplied by  x^5=x^6

Answer:

We add them

But for negative values we always keep the negative value as a decrease.

4 x -4 as powers still becomes -8

and not -16

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

2^4 x 3^-4 = 16/81 shows and proves we multiply them and just use adding as a short cut.

Answer:

Positive Correlation

Step-by-step explanation:

The Points on the graph are increasing upward, which would make this a positive correlation.

Answer:

y = -1

Step-by-step explanation:

Answer:

length x width x 6 = 90

area of shaded face = 15

The area of the shaded region is 15 square cm.

The space occupied by a flat shape or the surface of an object is called area.

[tex]Area = lb[/tex]

Where,

l is the length of the rectangle.

b is the breadth of the rectangle.

A volume is simply defined as the amount of space occupied by any three-dimensional solid.

volume = length × breadth × height

According to the given question.

We have,

Height of the cuboid  = 6cm

Volume of the cuboid = 90 cubic cm.

⇒ length × breadth × height = 90

⇒ length × breadth × 6 = 90

⇒ length × breadth = [tex]\frac{90cm^{2} }{6cm}[/tex]

⇒ length × breadth = 15 square cm....(i)

Since, the area of shaded region = length × breadth

From (i)

Length × breadth = 15 square cm .

Hence, the area of the shaded region is 15 square cm.

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Answer:

10( 3/4x  * 9/500y ) = 10  

Step-by-step explanation:

We know 18% can also be found

when we take the x amount 75 x 0.18 = 13.50

We thereafter find 75-13.50 = 61.50 for Janella's hair cost plus $13.50 tip.

But for x = 750 x 9/500 = 10

We find  13.50 = 10

x= 1.5

18% coincidentally is 13.5 and 13.5 x 1.5 = 18

So we could redesign and use 18 in the equation

An equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.

Given that, Janella has her hair styled and wants to tip her stylist 18%.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the tip be y and total bill be y.

So, tip y = 18% of total bill x

⇒ y = 18% of x

⇒ y = 18/100 × x

⇒ y = 0.18x

Therefore, an equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.

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