Geometry Review Homework

For any two points that we have, we can find a line that passes through them, so the first part is true, only two points are needed to determine a line.

Then you say:

"why are three ordered pair solutions or points found for a linear equation"

A linear equation is something of the form:

y = a*x + b

Where we assume that you know a and b.

Given that case, we can see that we have infinite solutions.

Suppose that you want to solve this for y, then for each possible value of x you will have a different solution, and you can have infinite values of x there, so there are infinite solutions.

Now, what I think you are asking is:

Why we should use 3 points to check if a relation is linear or not?

Well, exactly for the first thing you said. We always can find a line that passes through two given points, but that is not the case for 3 given points.

So, if in a given relation we use 3 points, and we can see that these are collinear, then we can conclude that the relationship gives a linear equation (ideally you could use more than 3 points, but usually is enough)

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Answer:

A) 20h+5≥125

Step-by-step explanation:

total amount = flat rate + amount per hour * hours worked

She wants to earn at least 125

125≤ 5 + 20h

Rewriting

5 + 20h ≥ 125

Answer:

Option a. 20h+5≥125 is the correct answer

Answer:

1/6?

Let's do it...

( (3^(3/4))/(3^(3/8)) )^4/9

According to indices rules here the denominator and numerator has the same base and they are dividing so the powers will subtract..... Its just a formulae not rocket science so don't freak out.

So ( 3^(3/4 - 3/8)) ^4/9

= ( 3^(3/8)) ^4/9

Again with indices rule the powers will multiply

Which will return us 3^1/6 which corresponds 3^x..... Hence x =1/6

Thank you

[tex] \boxed{ \boxed{x = \frac{1}{6} }}[/tex]

[tex] \hookrightarrow \: {\bigg( \dfrac{3 {}^{ \frac{3}{4} } }{ {3}^{ \frac{3}{8} } } \bigg) }^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: {(3 {}^{ \frac{3}{4} } \div 3 {}^{ \frac{3}{8} } ) } ^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: {(3 {}^{ \frac{3}{4} - \frac{3}{8} } ) }^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \:{ (3 {}^{ \frac{3}{8} } ) }^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: 3 {}^{ \frac{3}{8} \times \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: {3}^{ \frac{1}{6} } [/tex]

therefore,

the required value of x is 1/6

Answer:

Length 18 yds, Width 9 yds

Step-by-step explanation:

2x + 2x + x + x = 54

Combine like terms

6x = 54

Divide both sides by 6

x = 9

Plug 9 into equation above

2(9) + 2(9) + 9 + 9 =

18 + 18 + 18 = 54

Answer:

8

Step-by-step explanation:

Just count the spaces between them.

You only attached the square. Edit the question to add it, and then I'll edit my answer.

Answer:

1:1 ratio is 1 part or 1 unit of a particular quantity.

Answer:

689

Step-by-step explanation:

just subtract.

Answer:

The midpoint is (5,5).

Step-by-step explanation:

midpoint formula: x1+x2/2     y1+y2/2  

Answer:

D. (x+8)^2=105 A P E X

Step-by-step explanation:

[tex]S_n=\frac{a_1+a_n}{2}\cdot n\\\\a_1=10, \ d=8, \ n=11\\\\a_{11}=a_1+10d=10+10\cdot8=10+80=90\\\\S_{11}=\frac{10+90}{2}\cdot11=\frac{100}{2}\cdot11=50\cdot11=\boxed{550}\\\\\text{Answer}:\text{C})[/tex]

The value of the arithmetic series is 550. The correct answer is C) 550.

To evaluate the arithmetic series, we can use the formula:

Sn = (n/2)(2a1 + (n-1)d)

Given:

a1 = 10 (first term)

d = 8 (common difference)

n = 11 (number of terms)

Plugging the values into the formula:

Sn = (11/2)(2(10) + (11-1)(8))

= (11/2)(20 + 10(8))

= (11/2)(20 + 80)

= (11/2)(100)

= 550

Therefore, the value of the arithmetic series is 550.

The correct answer is C) 550.

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Answer:

215

Step-by-step explanation:

60=50

258=?

258 divided by 60 = 4.3

50 x 4.3 = 215

Answer:

P = 50x + 11

A = ((12x +3 ) × (14x +13)) + ( 1/2 (6x-4)^2)

Step-by-step explanation:

P =( the triangle - the shared side) +( the rectangular P - the shared side with the triangle )

P =2(6x - 4) + (14x +13) + 2 (12x +3)

P = 12x -8 + 14 x + 13 +24x +6

P = 50x + 11

Area = Triangle area + Rectangular area

T area = 1/2 base × hight

1/2 (6x-4) (6×-4)

= 1/2 (6x-4)^2

Rectangular Area = hight × length

= (12x +3 ) × (14x +13)

A = ((12x +3 ) × (14x +13)) + ( 1/2 (6x-4)^2)

Answer:

5h-fgtx56=y2-6

Step-by-step explanation:

sorry if wrong:(

Answer:

the width would be 20 inches

Step-by-step explanation:

32 = 8 × x

32 ÷ 8 = 4

so now multiply 5 by 4 which equals 20 inches

Answer:

10.46

Step-by-step explanation:

I wasn't too sure what you meant by this but I solved it the best I could.

5.23(10-8)

5.23(2)

10.46

9514 1404 393

Answer:

  no

Step-by-step explanation:

2π ≈ 6.28

√44 ≈ 6.63

  2π < √44

Answer:

$10.17

Step-by-step explanation:

Mean simply is defined as "average", so the average price of a hamburger across five resturaunts is found by adding all of the prices together and then dividing by the number of prices there are.

9.95 + 12.95 + 8.50 + 8.95 + 10.50 = 50.85 dollars, which then you divide by 5, and end up with the solution: $10.17

Answer:

10.17 ……

10.10

Step-by-step explanation:

[tex]g(x)=\dfrac{x^2-6}{3x+10}\\\\\\g(4)=\dfrac{4^2-6}{3\cdot4+10}=\dfrac{16-6}{12+10}=\dfrac{10}{22}=\boxed{\frac{5}{11}}[/tex]

Answer:

m = -1

Step-by-step explanation:

Find the equation in slope intercept form [ y = mx + b ] for line AB. Find the slope using the formula [ y2-y1/x2-x1 ].

8-5/7-4

3/3

1

Find the y-intercept.

5 = 1(4) + b

5 = 4 + b

1 = b

So the equation of the line AB is y = x + 1.

The slope of a perpendicular line is the opposite reciprocal of the original line.

1 -> -1/1 -> -1

Best of Luck!

The length of a ribbon that will cover the edge of the circular drum is 76.98 in

The given parameter:

To find:

The length of a ribbon that will cover the edge of the circular drum is equal to the circumference of the circular drum.

The circumference of the circular drum = 2πr

The circumference of the circular drum = 2 x 3.142 x 12.25

The circumference of the circular drum = 76.98 in

Thus, the length of a ribbon that will cover the edge of the circular drum is 76.98 in

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Answer:

10.5 yards after 15 years

Step-by-step explanation:

2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards

9514 1404 393

Answer:

  264x³-66x

Step-by-step explanation:

The order of operations requires this be evaluated as ...

  11x(96x÷4x -6) . . . . given

  11x(24x·x -6) . . . . . . division inside parentheses

  11x(24x² -6) . . . . . . multiplication inside parentheses

  264x³ -66x . . . . . multiply by outside factor (use the distributive property)

_____

Additional comment

The appearance of the expression in parentheses may induce you to evaluate it as (96x)÷(4x) = 24. The order of operations requires that you do the division before the multiplication, left to right, so this must be evaluated as ...

  ((96x)÷4)x = 24x²

You need to be very careful with division and with exponents to make sure to follow the Order of Operations exactly. If you have an appropriate calculator, it will do that automatically. For example, if you tell your calculator ...

  (for x=2) 11×2×(96×2÷4×2-6)

it should give you the result 1980, not 396.

Answer:

= 198x

Step-by-step explanation:

11x × { 96x ÷ 4x -6}

11x × { 24x -6}

264x - 66x

= 198x

You got the correct answer

Answer:

60

Step-by-step explanation:

the 6 in 7639 has a value of 600

600/10 = 60

Number of cups are 32.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A dietitian prepares a high-protein drink for 24 residents.

And, Each drink measures 3/4 cup.

Let number of cups of the drink will she prepare = x

So, We get;

⇒ 3/4 × x = 24

⇒ x = 24 × 4 / 3

⇒ x = 32 cups

Thus, There are 32 total cups of the drink will she prepare.

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Answer:

x = 1 or

x = - 7

To get rid of the square root. Isolate the square root and it's multiple. Then square both sides to get rid of it. Don't forget to square the multiple, in this case - 2 becomes 4. Solve for x like you normally do.

Answer:

its just one step forwards 3 steps back

Step-by-step explanation:

im sorry i hate that song its ew

Answer:

Step-by-step explanation:

if you need an answer I would be 112 given the information in the question,

but there seems to be something wrong (probably my interpretation) ..

here  is the logic (and why there is an issue) ....

Assuming that every "movement" is "5 forward, then 3 back"

we can assume that every movement takes 8 steps ...

given this one would assume that the total steps has to be a multiple of 8 (but it is not)

460/8 is 57.5 ....

let us assume that came out even... every movement has five forward and three back a net result of 2 forward... if the is repeated 57.5 time the result would be 112 steps forward

it is the 57.5 that does not seem correct