Find an equation for the line that passes through the points (2, 3) and (-6,5).
Please I need help

Answer:

This is the angle in the angle in the fourth quadrant that verifies the given conditions:

[tex]\phi =\frac{11\, \pi}{6} \\[/tex]

Step-by-step explanation:

Notice that in the unit circle, if sin of the angle is negative, and cos of the same angle is positive, we are in the fourth quadrant.

Also, the angle that renders

[tex]sin(\phi)=-\frac{1}{2}[/tex]

in the fourth quadrant, is [tex]\phi =\frac{11\, \pi}{6} \\[/tex]

for such angle, also :

[tex]cos(11 \pi/6)=\frac{\sqrt{3}}2}[/tex]

which verifies the second condition.

Answer:

SA: 456

V: 408

Step-by-step explanation:

To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!

Answer:

9.8

Step-by-step explanation:

1:49= ratio of carbon to to iron

1+49= steel

50=10pounds

49=?pounds

49 * 10/50

=49/5

=9.8pounds

Answer:

£1.31

Step-by-step explanation:

5:7:12

small : medim : large = 45 : 63 : 108

Answer:

£1.31

Step-by-step explanation:

The cakes are sold in the ratio 5 : 7 : 12 = 5x : 7x : 12x ( x is a multiplier )

sum the parts of the ratio, 5x + 7x + 12x = 24x

Equate 24x to the number of cakes sold, that is

24x = 216 ( divide both sides by 24 )

x = 9

Thus cakes sold are

5x = 5 × 9 = 45 small cakes

7x = 7 × 9 = 63 medium cakes

12x = 12 × 9 = 108 large cakes

let p represent the profit on a small cake, then

45p + 63(2p) + 108(3p) = 648.45 , that is

45p + 126p + 324p = 648.45

495p = 648.45 ( divide both sides by 495 )

p = 1.31

That is the profit on one small cake is £1.31

Answer:

Step-by-step explanation:

Ok so, I'll try to make this explanation super simple for you.

The denominator will always go on the outside and the numerator will be on the inside. Let me give you an example.

Take x^2/3. The answer will be 3√(x^2). Do you see how the 3 is on the outside and the 2 is on the outside?

Take p^4/5. The answer will be 5√(p^4).

I hope this gives you a clear understanding.

Answer: 43.5

Step-by-step explanation:

185/425

divide them, you should get 0.435

move it to the left 2 times and thats your answer

Answer:

Its the first option.

Step-by-step explanation:

if they are both 180° then they can both go on forever without touching each other.

Answer:

c or (5x-54)°=(3x+16)°

Step-by-step explanation:

Since they are alternate angles, they must be equal. Alternate angles are always equivalent, and since you can't choose more than one answer, then they can't equal 180° or 90°.

Answer:

It's B

explanation

Answer:

angle ABE and DBC

Step-by-step explanation:

They are both greater than 90 degrees

<ABE & <DBC

obtuse angle: more than 90 degrees and less than 180 degrees

Answer:

The answer is 64.

Step-by-step explanation:

You only have to substitute the value of a, b and c into the expression :

[tex] {b}^{2} - 4(a)(c)[/tex]

Let a = 3,

Let b = 4,

Let c = -4,

[tex] {4}^{2} - 4(3)( - 4)[/tex]

[tex] = 16 - 4( - 12)[/tex]

[tex] = 16 + 48[/tex]

[tex] = 64[/tex]

Answer:

64

Step-by-step explanation:

Answer: 130.66

Step-by-step explanation:

Answer:

$31.88

Step-by-step explanation:

on edge 2020

Answer:

B

Step-by-step explanation:

When a polynomial is in standard form, it is arranged in the order of largest power first, followed by the next largest, and then so on. The only polynomial here that follows this rule is the second one, or choice B. Hope this helps!

Answer:

By repeated subtraction.

Step-by-step explanation:

It is pretty much the same thing as division, but in subtraction. Since, Dividing and Subtraction are a like, repeated subtraction is a great example to use for this example

Hope this helps. :)

Answer:

kk so like, division is just repeated subtraction. like idk say you have 36 and you divide it by 9 so I think you just keep subtracting 9 until you reach 0? so you end up subtracting 9 four times which happens to be the quotient for 36/9. yeah. it's almost like how multiplication is just repeated addition.

Answer:

[tex] \boxed{x = 10} [/tex]

Step-by-step explanation:

[tex] = > 2x + 12 = - 2(4 - 2x) \\ \\ = > 2x + 12 = (( - 2) \times 4) - (( - 2) \times 2x) \\ \\ = > 2x + 12 = - 8 - ( - 4x) \\ \\ = > 2x + 12 = - 8 + 4x \\ \\ = > 2x - 4x + 12 = - 8 \\ \\ = > - 2x + 12 = - 8 \\ \\ = > - 2x = - 8 - 12 \\ \\ = > \cancel{-} 2x = \cancel{- }20 \\ \\ = > 2x = 20 \\ \\ = > x = \frac{20}{2} \\ \\ = > x = 10[/tex]

Answer:

3 – 5.5 + 1.5

Step-by-step explanation:

The number line described above is 3 – 5.5 + 1.5

Starting from our midpoint '0'

It moves 3 units to the right direction = +3

Then from that point '+3', it moves to '-2.5' which is 5.5 units to the left = -5.5. Then finally moves from '-2.5' to to '-1' which is 1.5 units towards the right direction = +1.5

Therefore, we finally have ;

+3 - 5.5 + 1.5

Answer:

B) 3 - 5.5 + 1.5

Answer:

A

Step-by-step explanation:

1st graph is the same for all choices.

3d graph is horizontal line y=50 or C(x) = 50.

It is A or B choices.

We have white circle , that means value of x is not included x > 6.

It is A.

We can check the 2d line. By continuing line we can see that y -int = 10, and we can see slope= rise/run = 5. Also, 2<x≤ 6.

Answer:

It's the first option.

Step-by-step explanation:

Note that the filled circles means that the value is included in the inequality  and the clear circle means it is not.

For the first 2 Gb  ( 0 to 2 inclusive) used,  the cost is $15.

Then for x > 2 up to and including x = 6 ( that is 6 Gb used)  it rises at a rate of 5 dollars per Gb + $10,  so its 5x + 10 for 2 < x <= 6.

Then the cost stays at $50.

Answer:

-1/3

Step-by-step explanation:

All of the other numbers are less than -1/3

Answer:

-1/3 is the largest rational number

Step-by-step explanation:

[tex]\frac{-2}{4}=\frac{-1}{2}=\frac{-1*15}{2*15}=\frac{-15}{30}\\\\\\\\frac{-2}{3}=\frac{-2*10}{3*10}=\frac{-20}{30}\\\\\\\frac{-1}{3}=\frac{-1*10}{3*10}=\frac{-10}{30}\\\\\\\frac{-4}{5}=\frac{-4*6}{5*6}=\frac{-24}{30}\\\\\\\frac{-24}{30}<\frac{-20}{30}<\frac{-15}{30}<\frac{-10}{30}\\\\\\\frac{-4}{5}<\frac{-2}{3}<\frac{-2}{4}<\frac{-1}{3}[/tex]

-1/3 is the largest rational number

s = number of states visited

d = number of days

6d = number of states visited after d days pass by, excluding the first 2 visited

6d+2 = total number of states visited, including the 2 originally visited

Answer:

Option (4). {x | x is a real number}

Step-by-step explanation:

Domain of any function is defined by the x values (Input values) and range by the y-values (Output values).

Given function is f(x) = 3x - 2

When we graph this function, we get a straight line.

That means the given function is defined for all real numbers.

Therefore, domain of this function will be all real numbers.

Domain: {x | x is a real number}

Option (4) will be the answer.

Answer:

D) {x | x is a real number}

Answer:

P(blue) = 1/3  (Answer)

Step-by-step explanation:

Probability for any event A is given by

p(A) = no of times of happening of event A/ total no of occurrence of all the event given under the situation.

____________________________________

A bag contains 5 blue marbles, 6 red marbles, and 4 green marbles

So, total no of occurrence of all the event given under the situation

one can either pick blue , red or 4 green marbles

Total no. of occurrence of all the event = 5 + 6 + 4 = 15

Now , no of occurrence of selecting blue.

since there are 5 blue marbles, there is chance of selecting blue is 5.

no of occurrence of selecting blue = 5

Therefore,

P(blue) = no of occurrence of selecting blue /total no of occurrence of picking any color ball

P(blue) = 5/15 = 1/3  (Answer)

Answer: height = 7.96 cm

Step-by-step explanation:

Height = volume / πr^2

h = 100 / π*2^2

h = 7.96 cm

Answer:

142

Step-by-step explanation:

5*(x+60)+2*x=1294

5x+5*60+2x=1294

7x+300=1294

-300       -300

        7x=994

x=994:7

x=142

142

Step-by-step explanation:

5(60+x) +2(x) = 1294

300+5x+2x= 1294

7x= 994

X= 142

Answer:

40 mph

Step-by-step explanation:

Recall that the slope of this line is also the speed at which the car was driven, and that, in turn, is:

 240 miles

-------------------  =  40 mph  

     6 hrs

Answer:

(4x-1)(4x-1)

(x-6)(x+5)

(3x-7)(3x+7)

(3x-1)(x+6)

Step-by-step explanation:

yes

Answer:

A. a triangle with an area of 20 square units

Step-by-step explanation:

note when you cut from top tip to the bottom you will get a triangle with base = 4 and height =10

Area of triangle = 1/2 * base * heighte

Area of triangle = 0.5*10*4

Area of trianle = 20 square units

Answer:

I think you should start with a table and then write all your points for x then in the next column your answers for y.

Then take your medium and start drawing.

I suggest your x's should start from 0 and increase by 1 or 2

Then when you reach a certain point then go back to 0 and start doing your negatives.

For example if y = 2x

x | y

0|0

1 | 2

2| 4

3|6

4|8

....

then

16|32

0|0

-1|-2

-2|-4

Thanks for this question. I am working my way up to brainliest answer and Master Answerer. This answer took a lot of time to type so I hope I get good review.

:)

:)

Step-by-step explanation:

Answer:

x = 125°

y = 180-125 = 55°

Step-by-step explanation:

The angles should sum to 180 in a triangle.

Since the other two are 25 and 30, for the third one, 180-25-30 = 125 is left, which is x.

Now y and x are supplementary angles, which means that x+y is also 180°.

So y = 180-x = 55°

Answer:

y = 55°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, thus

y = 25° + 30° = 55°

The second and fifth term for the given sequence are 6 and 48 respectively and a₆ > 50.

An inequality expression refers to the relation between an algebraic expression to some known value that contains inequality sign. Unlike an equation it can have a range of values inside an interval.

The given problem can be solved as,

(a) The nth term of the sequence is given as aₙ = 3n²/2

Then, substitute n = 2 to get second term as below,

a₂ = (3 × 2²)/2 = 6

(b) The fifth term is obtained as,

a₅ = (3 × 2⁵)/2  = 48.

(c) The inequality expression for the given case can be written as,

3n²/2 > 50

⇒ 3n² > 100

⇒ n² > 33.33

This is possible only for n = 6.

Hence, the second and fifth terms are 6 and 48 respectively. And, the 6th term will be the first to be greater than 50.

To know more about inequality expression click on,

https://brainly.com/question/29989669

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Answer:

1/3

is the answer

please mark me as a brainliest