The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.

Line 1: -3x + 2y = 1 Line 2: 2x + y = 11 Line 3: x + 4y = 9

Answer:

[tex]a_n=\frac{3}{7} +\frac{1}{7}n[/tex]

[tex]a_{10}=1\frac{6}{7}[/tex]

Step-by-step explanation:

Notice the pattern, everytime you add 1/7 to the previous answer

According to the term formula, [tex]a_{n}=a_1+(n-1)d[/tex]

[tex]a_n=[/tex] nth term

[tex]a_1=[/tex] First term

d = common difference

To find [tex]a_n[/tex], we have to substitute terms.

We would get: [tex]a_n=\frac{4}{7}+(n-1)\frac{1}{7}=\frac{4}{7}+\frac{1}{7} n-\frac{1}{7}=\frac{3}{7} +\frac{1}{7}n[/tex]

Using [tex]a_n=\frac{3}{7} +\frac{1}{7}n[/tex] and given that n = 10, we can find the answer

[tex]a_{10}=\frac{3}{7} +\frac{10}{7}=\frac{13}{7}=1\frac{6}{7}[/tex]

Hope this helps :)

Have a great day!

You spent $64.95 or $65

Step-by-step explanation:

As per given conditions,

[tex]75 \times (8.25 \: percent+ 1) \times (1 - 20 \: percent)[/tex]

[tex] = > 75 \times( \frac{8.25}{100} + 1) \times (1 - \frac{20}{100}) [/tex]

[tex] = > 75 \times (0.0825 + 1) \times (1 - 0.2)[/tex]

[tex] = > 75 \times 1.0825 \times 0.8[/tex]

[tex] = > 64.95[/tex]

If you round off to the nearest, then you get $65

~Benjemin360

Answer:

y-intercept=-3

slope=2

Answer:

[tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Divide both sides of the equation by the same term

[tex]\frac{6}{14} =\frac{14m}{14}[/tex]

Simplify

[tex]m=\frac{3}{7}[/tex]

Answer:

m = [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

6 = 14m

Divide both sides by 14.

[tex]\frac{6}{14}[/tex] = m

Reduce the fraction [tex]\frac{6}{14}[/tex] to the lowest terms by extracting and canceling out 2.

[tex]\frac{3}{7}[/tex] = m

Swap sides so that all variable terms are on the left-hand side.

m = [tex]\frac{3}{7}[/tex]

Hope it helps and have a great day! =D

~sunshine~

Step-by-step explanation:

If we have a fraction raised to a power,

[tex]( \frac{a}{b} ) {}^{n} [/tex]

that equals

[tex] \frac{a {}^{n} }{b {}^{n} } [/tex]

where n is the power we raising to.

Why? Remeber an exponent means that we multiply the base the number of exponent tells us.

For example,

[tex] {5}^{2} = 5 \times 5[/tex]

or

[tex]6 {}^{4} = 6 \times 6 \times 6 \times 6[/tex]

Here this applies to fraction.

If we have fraction 2/3,

and raised to the 3rd power then we get

[tex]( \frac{2}{3} ) {}^{3} = \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} [/tex]

which equals

[tex] \frac{8}{27} [/tex]

which also equals

[tex] \frac{2 {}^{3} }{3 {}^{3} } [/tex]

So we have proved this using numbers so let go back to the problem.

[tex]( \frac{3}{4}) {}^{3} = \frac{27}{64} [/tex]

Answer:

The answer would be C

Step-by-step explanation:

You were going in the right direction but the problem was that you needed to subtract and not add.  The formula should be y-y1 / x-x1 iirc. Hope this helped.

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ 6^4\div \sqrt{6}\implies \cfrac{6^4}{\sqrt{6}}\implies \cfrac{6^4}{6^{\frac{1}{2}}}\implies 6^4\cdot 6^{-\frac{1}{2}} \\\\\\ 6^{4-\frac{1}{2}}\implies 6^{\frac{8-1}{2}}\implies 6^{\frac{7}{2}}[/tex]

Answer:

The area of a trapezoid is

A = (1/2) h (b1 + b2)

where

h is the height

b1 is length of base 1

b2 is the length of base 2

Step-by-step explanation:

Answer:

Hwello!
Lora is very similar to Times New Roman and has more modern feel. The additional touches are done in calligraphy which gives it a very elegant style but also gives of simplicity and boldness. (i love calligraphy so this is one of my fav fonts)
Ubuntu. This font has a very unique and striking feel. It is sans serif with very minimalistic letters, but the curvy design makes it look modern and intriguing.
Libre Baskerville. This font was designed to work well for main body text.

Lora is my personal favorite but you can choose any one! I like to use a combination of Lora of headings, and times new roman/libre baskerville for main body text!

Have fun!

Step-by-step explanation:

π is an irrational number

Reason:-

π is defined as the ratio of the circumference of a circle to the diameter of the circle

⇛π = C/d

The diameter and the Circumference of a circle are incommensurable.i.e.there does not exist a common unit to measure that allows us to measure the both. If you measure accurately then atleast either C and d is irrational. So π is regarded as Irrational number.

The decimal expansion of π is non terminating and non recurring decimal.

22/7 is a rational number

Reason:-

7 ) 22 ( 3.142857142857142...

-21

____

10

- 7

____

30

- 28

____

20

- 14

____

60

- 56

_____

40

- 35

____

50

- 49

_____

10

- 7

_____

30

- 28

____

20

- 14

_____

60

- 56

_____

40

- 35

_____

50

- 49

______

10

- 7

______

30

- 28

____

2

22/7 = 3.142857142857...

It is a non terminating and recurring decimal

it is a rational number.

We know that

The decimal form of a rational number is either terminating or non terminating and recurring decimal.

The value of π is closely nearer to 22/7

π= 3.1415...

π≠22/7

We often take 22/7 as an approximate value of π

Answer: From the above given options option (c) {π is irrational and 22/7 is rational} is your correct statement.

Please let me know if you have any other questions.

Answer:

Right Triangles and the Pythagorean Theorem

1.The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.

2.The side opposite the right angle is called the hypotenuse (side c in the figure).

Answer:

y = 4.5

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. Therefore

5y -8 = 3y + 1                 Add 8 to both sides

5y -8 + 8 = 3y + 1 +8     Combine

5y = 3y + 9                    Subtract 3 y from both sides.

5y - 3y =3y -3y + 9        Combine

2y = 9                             Divide by 2

2y/2 = 9/2

y = 4.5

Answer: 29250

The reason why is because
19500/40=487.5
487.5x20=9750

9750x3 =29250

Answer:

Step-by-step explanation:

Area of a sphere is [tex]4\pi d^{2}[/tex]

let d be the diameter of the moon and D be the diameter of the earth

d = 1/4 D

Area of Earth = [tex]4\pi D^{2} = 4\pi (\frac{d}{4} )^{2} = 4\pi \frac{d^{2} }{16} = \pi \frac{d^{2} }{4}[/tex]

Area of moon = [tex]4\pi d^{2}[/tex]

[tex]\frac{Area of moon}{Area of Earth} = \frac{1}{16}[/tex]

Answer:

y = 1/3x - 10/3

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of one another so m = -1/3

Given (-1,-3)

y = mx + b

-3 = -1/3(-1) + b

-9/3 = 1/3 + b

b = -10/3

so y = 1/3x - 10/3

Answer:

Step-by-step explanation:

According to the question we can set the following equation:

Solving for m if you need:

[tex]\huge\fbox{Hi~there!~:)}[/tex]

Let's solve this inequality! :)

Let's start by subtracting 10 from both sides:

[tex]\rm{8x\leq 51-10}[/tex]

[tex]\rm{8x\leq 41[/tex]

Now, divide both sides by 8:

[tex]x\leq \displaystyle\frac{41}{8}[/tex] (Answer)

Decimal form:

[tex]\rm{5.125}[/tex]

I hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*[/tex] here to help

Answer:

Here is answer

...........

please give Brainliest

Answer:

is this the homework you have?

Step-by-step explanation:

Answer:

The prime factorization of 52 is 2 times 2 times 13 (2*2*13) or 2 to the 2nd power times 13 (2^2*13)

Step-by-step explanation:

Answer:

x=110

Step-by-step explanation:

360-(110+90+50)=110

x=110

Answer: B, D, and F

Step-by-step explanation:

15 x 3.333 = 50 and 3 x 3.333 = 10

50 divided by 10 is 5

25 x 2 = 50 and 5 x 2 = 10

Answer:

1) b 2)d

Step-by-step explanation:

To find an equation that is perpendicular to a certain equation, find the reciprocal of the slope and switch the sign. For parallel, find an equation with the same slope and the same sign. Disregard the y-intercept if you're just trying to find the perpendicular or parallel equation

Slope=-1/4

#1

Perpendicular lines hAve slopes negative reciprocal to each other

So

equation is

c is y intercept

#2

Parallel lines have equal slopes

Option D

Answer:

y = 9 cm

Step-by-step explanation:

The 2 triangles are similar ( by AA postulate ) , then the ratios of corresponding sides are in proportion , that is

[tex]\frac{y}{6}[/tex] = [tex]\frac{15}{10}[/tex] = 1.5 ( multiply both sides by 6 )

y = 6 × 1.5 = 9 cm

The value of y from the diagram is 9

From the given figure, the shapes are similar, using the similarity theorem of triangles, you ill have;

6/10 = y/15

Cross multiply

10y = 15* 10

10y = 90

y = 90/10

y = 9

Hence the value of y from the diagram is 9

Learn more on similar shapes here: https://brainly.com/question/2644832

The answer to the question is 25t+26

Answer:

Below:

Step-by-step explanation:

The other user is completely correct....\

Have a wonderful day....

It's Miss-Muska

Answer:

127

Step-by-step explanation:

Since the digit after the point (tens digit) is less than 5, we will round down and get 127.

Answer:

127

Step-by-step explanation:

127.39 rounded to the nearest whole number is 127

So the 9 in the hundreths place rounds the 3 in the tenths place to a 4 but the 4 doent round the 7 in the ones place to an 8. And sice your at the ones you can stop with an answer of 127.

hope ths helps just let me know if you have any questions about my answer:P