2. What is the equation of the line that passes through the points (4,5) and
(8,3)?

Answer:

x = 36

y = 37.95

Step-by-step explanation:

By geometric mean property:

[tex] {12}^{2} = 4 \times x \\ \\ 144 = 4 \times x \\ \\ x = \frac{144}{4} \\ \\ x = 36 \\ \\ [/tex]

By Pythagoras Theorem:

[tex] {y}^{2} = {12}^{2} + {x}^{2} \\ \\ {y}^{2} = {12}^{2} + {36}^{2} \\ \\ {y}^{2} = 144 + 1296 \\ \\ {y}^{2} = 1440 \\ \\ y = \sqrt{1440} \\ \\ y = 37.95[/tex]

Step-by-step explanation:

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

An axis of symmetry of quadratic equation y = ax² + bx + c is :

Let us now tackle the problem!

Given:

f(x) = 3x² - 6x - 13

Asked:

Domain = ?

Solution:

Velocity is a vector quantity.

Vector quantity has magnitude and direction.

Directon of vector is represented by the sign of the quantity

If x is the velocity of the boat relative to land , then:

The value of x could be positive , negative or zero.

Answer:

Anthony is rowing a boat upstream. The following equation models his speed: f(x) = 3x2 − 6x − 13, where x is the velocity of the boat relative to land. What is the domain of the function?

All real numbers

x ≥ 1

x ≤ −6

x ≥ −13

Step-by-step explanation:

it is a

Answer:

18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

|3x - 2y| + 5

x = -3

y = 2

Step 2: Evaluate

Answer:18

Step-by-step explanation:

|3x-2y|+5

|3(-3)-2(2)|+5

|-9-4|+5

|-13|+5

13 + 5

18

Answer:

Step-by-step explanation:

y+1 = -2(x-3)

y = -2x + 6 - 1

y = -2x + 5

Answer:

81

Step-by-step explanation:

[tex] \sqrt{x} + 3 = 12 \\ \\ \sqrt{x} = 12 - 3 \\ \\ \sqrt{x} = 9 \\ \\ {( \sqrt{x} )}^{2} = {(9)}^{2} \\ \\ x = 81[/tex]

81 is the  solution to the equation √x+3=12

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

The given equation is √x+3=12

Square root of x plus three equal to twelve

√x+3=12

Subtract three from both sides

√x+3-3=12-3

√x=9

Square on both sides

√x²=9²

The root and square will gets cancelled

x=81

Hence, 81 is the  solution to the equation √x+3=12

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Answer:

dividend is 30

divisor is 6

Step-by-step explanation:

3 ft

Step-by-step explanation:

Answer:

It would be D

Step-by-step explanation:

Answer:

x=-28

Step-by-step explanation:

Subtract 19 from both sides.

-9 -19 = -28

Answer:

-28

Step-by-step explanation:

you need to get x by itself, so subtract 19 on each side. -9-19= -28

Answer:

19

Step-by-step explanation:

x = 4

y = 4^2 + 3 = 16 +3 = 19

Ok y is your y value from any point on the graph m is your slope x is the x value of any point from the graph and b is your y intercept that is where the line cross in the y line that is the vertical line in the graph

Answer:

As simple as possible, it's a form of linear equations.

Step-by-step explanation:

The formula, y = mx + b, can be dissected to get the slope and y-intercept of a linear equation where:

  m = slope

  b = y-intercept

  (x and y can be substituted for any point)

If you have any more questions, feel free to ask. Hope this helps!

Answer:

25 is a rational number

Step-by-step explanation:

This is because, a rational number needs to be in p/q form, where q ≠ 0

This is possible for 25, 25 in p/q form =

25/1

If my answer helped, kindly makr me as the brainliest!!

Thank You!!

Answer:

#1

#2

#3

#4

Step-by-step explanation:

Hope this helps

Answer:

y = -3x + 10

Step-by-step explanation:

y = mx + b

plug in numbers to the equation

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

multiply the slope -3 and -3

1 = (9) + b

subtract 9 from both sides

-8 = b

Now plug in the slope and b

y = -3x - 8

Answer:

The equation I got was y= 3x + 10

Step-by-step explanation:

All you need to do is use the formula y= mx + b.

Answer:

Step-by-step explanation:

If two lines are perpendicular then the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = 14x - 2   ⇒   m₁=14

14×m₂ = -1        ⇒    m₂ = -¹/₁₄

The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:

3 = -¹/₁₄×3 + b must be true

3 = -³/₁₄ + b

b = 3³/₁₄

Therefore equation in  slope-intercept form:

                                                y = -¹/₁₄x + 3³/₁₄

Answer: tell him " your way doesnt work many people have the same issue so im doing it my way"

Step-by-step explanation:thats job done

Answer:

Step-by-step explanation:

Perimeter is:

Comparing the value:

Are formula:

Replacing values:

Answer:

60cm²

Step-by-step explanation:

To find :-

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²

Answer:

-2x+9

This is the answer you are looking for

YOUR WELCOME! :D

Answer:

452.4

Step-by-step explanation:

area is given by πradius squared which gives answer as 452.389

Answer:

452.39 because you have to take the radius squared times pie or 3.14 to get the area so your answer would be 452.39

Step-by-step explanation:

Hope it helps

Answer:

12

Step-by-step explanation:

24/2 = 12

Answer:

12

Step-by-step explanation:

Answer:

angle t is 55 degrees

Step-by-step explanation:

Here's my work:

Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110

110/2=55 (two because those are the two angles associated with the equal sides)

Step-by-step explanation:

[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]

[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]

Answer: H - 50%

Step-by-step explanation:

The percentage markup on the textbook on the given percentage will be 50%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of a textbook = $28

Selling price = $42

% markup = (42 - 28)/28 x 100 = 50%

Hence "The percentage markup on the textbook on the given percentage will be 50%".

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Answer:

2 rows of 41

Step-by-step explanation:

i had the same question

The number of possible ways can the chairs be lined up is 2 rows of 41.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 2 \times 41[/tex]

= 82 chairs

Here 2 denotes the rows.

Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.

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Answer:

um in languages or different angles

Step-by-step explanation:

Answer:

1.8571428 hours

Step-by-step explanation:

Given that :

Price of stock A at 9 am = $12.53

Rate of increase = $0.12 per hour

Price of stock B at noon = $13.28

Rate of Decrease = $0.09 per hour

Let number of hours = x

Price of stock A at noon :12.53 + 0.12(3) = 12.89

12.89 + 0.12x = 13.28 - 0.09x

0.12x + 0.09x = 13.28 - 12.89

0.21x = 0.39

x = 0.39 / 0.21

x = 1.8571428

Hence the prices of the stock will be the at about 1.857 hours