Find the equation of the line.
Use exact
numbers.
Y= ( ) x+( )

Answer:

Ste(x−5)2=x2−10x 25

step-by-step explanation:

The standard form of a polynomial in one variable is a sum of terms in decreasing order of degree.

For brevity, terms with negative coefficients are usually written as subtractions rather than adding the additive inverses. That is, we would write  

x

2

−

3

x

+

2

rather than  

x

2

+

(

−

3

)

x

+

2

In order to express  

(

x

−

5

)

2

in standard form, we need to multiply it out, combining terms of like degree. We can use the FOIL mnemonic to help:

(

x

−

5

)

2

=

(

x

−

5

)

(

x

−

5

)

(

x

−

5

)

2

=

First



(

x

)

(

x

)

+

Outside



(

x

)

(

−

5

)

+

Inside



(

−

5

)

(

x

)

+

Last



(

−

5

)

(

−

5

)

(

x

−

5

)

2

=

x

2

−

5

x

−

5

x

+

25

(

x

−

5

)

2

=

x

2

−

10

x

+

25

Alternatively, we can recognise a pattern and use it.

For example:

(

a

+

b

)

2

=

a

2

+

2

a

b

+

b

2

(

a

−

b

)

2

=

a

2

−

2

a

b

+

b

2

So we could take the second of these and put  

a

=

x

,  

b

=

5

to find:

(

x

−

5

)

2

=

x

2

−

2

(

x

)

(

5

)

+

5

2

(

x

−

5

)

2

=

x

2

−

10

x

+

25

The standard form is: [tex]x^2+10x+25[/tex].

We expand the given expression.

[tex](x + 5)^2\\=x^2+2(x)(5)+5^2\\=x^2+10x+25[/tex]

So the standard form is: [tex]x^2+10x+25[/tex].

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Answer:

x < -7 or x > 2

Step-by-step explanation:

The solution includes the interval from negative infinity to -7, not including -7. That means

x < -7

The solution also includes the intervals from 2 to infinity, not including 2. That means

x > 2

Answer: x < -7 or x > 2

Any Triangles angels add up to 180

Have a nice Day , I would appreciate it if you could mark my answer brainliest

The number fourths in the given fraction is 7.

The given fraction is 7/4.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The number fourths (1/4) in 7/4 are 7

Which is 7×(1/4)

Therefore, the number fourths in the given fraction is 7.

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Answer:

Across                    Down

1. y = 30              1. y = 35

2. x = 25             3. x = 4

5. y =9                 4. x = 10

6. x = 12               7. x = 24

8. x = 11                 9. x = 140

10. x = 25               11. x = 17

12. y = 8                  13. x = 28

Step-by-step explanation:

You solve for the given variable then fill the box with the answer (assuming only numbers, each number gets a box. You don't put any numbers on the red boxes, only white)

Step-by-step explanation:

If we use both hoses, we fill the pool at 40 + 60 = 100 gallons per hour.

The volume of the pool is 60 * 300 = 45 * 400 = 18,000 gallons.

Hence, we need 18,000 / 100 = 180 hours.

Answer:

The answer is 12

Step-by-step explanation:

1/5 x 60 is 12

There is a 60 because There's 60 minutes in a hour.:)Have a good day❤

Answer:

infinite

Step-by-step explanation:

trust me I would know im a smart man in college

Two or more expressions with an Equal sign is called as Equation.6(3-5w)=5(4-2w)-20w have no solution

Two or more expressions with an Equal sign is called as Equation.

The given equation is 6 times of three minus five w equal to five times of four minus two w minus twenty w.

6(3-5w)=5(4-2w)-20w

Apply distributive law on LHS side

6(3)-6(5w)=5(4)-5(2w)-20w

18-30w=20-10w-20w

Let us take all the variable w terms to one side

18-20=30w-10w-20w

-2=0

Hence based on the given equation , it has no solution.

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Answer: a. 1, 3, 5, 15

Step-by-step explanation:

If he needs to put an equal number of tulips in each vase he uses, the number of vases will have to be multiples of 15.

The multiples of 15 are;

1, 3, 5, and 15.

James can therefore put;

Answer:

They would be done by 2 :  18 AM

Step-by-step explanation:

Key Information:

- Stacey starts at 2 PM peeling 20 potatoes per hour

- Rob starts at 3 PM peeling 30 potatoes per hour

- James starts at 4 PM peeling 40 potatoes per hour

At 5pm;

Stacy would have worked for 3 hours and would have peeled ( 3 * 20 = 60 potatoes)

Rob would have worked for 2 hours and would have peeled ( 2 * 30 = 60 potatoes)

James would have worked for an hour and would have peeled ( 1 * 40 = 40 potatoes)

Total number of potatoes peeled at 5pm = 60 + 60 + 40 = 160 potatoes

Potatoes left = 1000 - 160 = 840 potatoes.

The new peeling rate for three of them combined is (20 + 30+ 40 ) = 90 potatoes per hour.

Rate = potatoes left / time;

Time = Potatoes / Rate

Time = 840 / 90 = 9.3 hours = 9 hours 18 minutes

Total time taken = 9 hours 18 minutes + 3 hours = 12 hours 18 minutes

They would be done by 2 :  18 AM

Answer:

2:20 am

Step-by-step explanation:

Stacey's start time = 2 pm

Rate = 20 per hour

Rob start time = 3pm

Rate = 30 per hour

James start time = 4pm

Rate = 40 per hour

Number of potatoes = 1000

By 4 pm when James started :

(2 * 20) + (1 * 30) = 40 + 30 = 70

Potatoes left at 4pm = 1000 - 70 = 930 potatoes

Number of potatoes peeled per hour staring from 4 pm:

20 + 30 + 40 = 90 potatoes

Time taken to peel 930 potatoes will be :

930 / 90 = 10.333333 hours

(0.33333 * 60) = 19.9998 minutes

10.3333 hours = 10 hours 19.99998 minutes = 10 hours 20 minutes

Hence, from 4pm = 4pm + 10 hours 20 minutes = 2 : 20 a. M

Answer:

2/7 I Don't know the other one

here you go, hope that helps some

Answer:

7x - 3y = -12

Step-by-step explanation:

5(0-1) + 3y = 7(x + 1)

using BODMAS to solve

5(-1) + 3y = 7(x + 1)

-5 + 3y = 7x + 7

7x - 3y = -5 - 7

7x - 3y = -12

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

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9514 1404 393

Answer:

  -4 < y < 4 and y < -3/2x +2

Step-by-step explanation:

The boundary line crosses the y-axis at y=2. It intersects another grid point 2 units to the right and 3 units lower than that, so it has a slope of ...

  m = rise/run = -3/2

This means we can write the boundary line equation as ...

  y = mx + b

  y = -3/2x +2

__

We notice that the line is dashed, and shading is below it. This means the shaded area will satisfy the inequality ...

  y < -3/2x +2

We also notice that the range of the graph is from y = -4 to y = +4, so we must have ...

  -4 < y < 4 and y < -3/2x +2

Answer:

Equation

Step-by-step explanation:

Equation Rate of change: 2/1=2

Graph Rate of Change: -4/1=-4

Answer: Equation has a greater rate of change

Step-by-step explanation:

Equation's rate of change is 2 and graph's rate of change is -4

Answer: Negative 20.75

Step-by-step explanation:

The question simply wants us to convert the temperature shown by the thermometer to decimal. We should note that the temperature shown is Negative 20 and three-fourths degrees.

First, we convert 3/4 to decimal. This will be:

= 3/4 = 0.75.

Therefore, -20 3/4 = -20.75

Answer:

C. -20.75

Step-by-step explanation:

Got it right on edge :)

Answer:

the greatest number he can invite is 72 ppl because he only has 72 cupcakaes meaning he can invite more ppl than cupcakes

Step-by-step explanation:

hope this helps <3

Answer:

Okay thank you

Step-by-step explanation:

Answer:??

Step-by-step explanation: where’s the question

Answer:

(-5,3), (7,-2), (3,1)

Step-by-step explanation:

Just did this question. Got it wrong but thats what it says the right answer is

Answer:

B. 7

Step-by-step explanation:

for this, we can use the process of elimination.

A. 4(6) > 24

24 > 24

B. 4(7) > 24

28 > 24

C. 4(4) > 24

16 > 24

D. 4(2) > 24

8 > 24

the answer is B because it is the only choice that is greater than 24.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

Its 8

Step-by-step explanation:because u add then divide and subtract

Answer:

x^2+27x+180

Step-by-step explanation:

okay so -12 and 15 are the only solutions

work backward

add 12 and add 15 from x

(x+12)(x+15)

then solve this

x*x=x^2

x*+15=15x

12*x=12x

12*15=180

now put it all together

x^2+15x+12x+180

then simplify

x2+27x+180

(x+12)(x+15)

Then solve again to try it.

x+12=0

x+15=0

x=-12

x=-15

Hope this helps.

Answer:

1 : 3000

Step-by-step explanation:

Given that:

Scale measurement as following:

4 centimeters are equal to 120 meters.

To find:

The scale factor = ?

Solution:

First of all, let us learn about the definition of scale factor.

Scale factor means 1 unit on scale is equal to what length of actual measurement.

We are given that 4 cm on scale is equal to 120 meters of actual length.

We need to find nothing but how much 1 cm of scale is equal to actual length.

4 cm of scale = 120 meters or 12000 cm of actual length

Dividing by 4 on both sides, we get:

[tex]\frac{4}{4}[/tex] = 1 cm of scale = [tex]\frac{12000}{4}[/tex] = 3000 cm of actual length

Therefore, the scale factor is 1 : 3000

The scale factor is 1; 3000.

Given

The scale measures 4 centimeters equal to 120 meters.

The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.

Scale factor means 1 unit on the scale is equal to what length of actual measurement.

4 cm of scale = 120 meters or 12000 cm of actual length.

1 cm of scale = 4/4

Then,

[tex]= \dfrac{12000}{4}\\\\=3000[/tex]

Hence, the scale factor is 1; 3000.

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Answer:

Step-by-step explanation:

if our motorcycle use 70 miles per gallon

and 1mile=1.6 km

the motorcycle travels 70*1.6=112 km per gallon

for 60 km it needs

60/112=0.54 gallons

Answer:

1

Step-by-step explanation:

The volume of this cube is  1 cu.cm , Option B is the correct answer.

A cube is a three dimensional shape having 6 square faces , all the faces are of equal length , breadth and height.

The volume of the cube is given by side * side * side

Let side =  a

Then volume of the cube = a³

In the given figure all the side of the cube is given as 1 cm.

Therefore to determine the value of the volume , we will substitute in the equation

V = (1)³

Volume = 1 cu.cm

Therefore , the volume of this cube is  1 cu.cm, Option B is the correct answer.

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Answer: hmmmm

Step-by-step explanation:

Answer:

The answer you have clicked is correct

Step-by-step explanation:

To get x alone you need to get rid of the 4 so you subtract it from both sides

so then you have

x + 4 - 4 = 24 - 4

the fours on the left cancel out

x = 24 - 4

subtract

x = 20

and there's the answer and steps :)

Answer with step-by-step explanation:

The question does not seem complete, but I'll try to make some explanations.

When you want to round a number, there are some rules.

1. If the number you are rounding is followed by 5, 6, 7, 8, 9, then round the number up, that is add 1 to it.

2. If the number you are rounding is followed by 0, 1, 2, 3, 4, then round the number down, that is add 0.

Now if given a number and you are asked to round to the nearest 100, 1 000, 10 000 and so on, then for nearest 100, count 2 numbers from the back. Whatever number you stop at, that is the number you are to round. For 1000 count 3, for 10 000 count 4 and so on.

Since Kiara is having the same value after rounding, it means she picked a number that has zeros after the 10 000th value

Let's assume she picked: 70 000

Rounding that number to nearest 100, 1000 and 10000 gives the same number which is

70 000.