which equation represent the line that passes through the point(-3.4,8.3) and has a slope of 6.5

Answers

Answer 1

Answer:

        y - 8.3 = 6.5(x + 3.4)     {the point-slope form of the equation}

        y = 6.5x + 30.4            {the slope-intercept form of the equation}  

        65x - 10y = - 304            {the standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = 6.5

(-3.4, 8.3)    ⇒   x₀ = -3.4,  y₀ = 8.3

The point-slope form of the equation:

y - 8.3 = 6.5(x + 3.4)

So:

y - 8.3 =  6.5x + 22.1         {add 8.3 to both sides}

y = 6.5x + 30.4             ←  the slope-intercept form of the equation

 y - 6.5x = 30.4                   {multiply both sides by (-10)}

65x - 10y = - 304               ←  the standard form of the equation


Related Questions

A perfectly spherical scoop of ice cream has a surface area of 36π cm2 and the same diameter as the open end of the ice cream cone it rests on. The cone is 11 cm tall. If the ice cream melts into the cone, what volume of ice cream will overflow?

Answers

Answer:

9.43 cm³

Step-by-step explanation:

Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius

36π cm² = 4πr²

r² = 36π cm²/4π

r² = 9 cm²

r = √(9 cm²)

r = 3 cm

So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3

= 4π(3 cm)³/3

= 4π(9 cm³)

= 36π cm³

The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm

V' = π(3 cm)² × 11 cm/3

= 9π cm² × 11 cm/3

= 33π cm³

So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³

= 3π cm³

= 9.43 cm³

please help my assignment is missing and I really need to finish it.

Answers

Answer: it is D

Step-by-step explanation:

The answer is D. Hope this helps

a/k + b = c/k make k as a subject

Answers

Answer:

By "make k as a subject", I assume you mean to solve for k?

If that is the case, then the answer is:

k = (c - a) / b

Step-by-step explanation:

Let's solve for k

a/k + b = c/k

Multiply both sides by k:

a + bk = c

Group terms containing k on the left:

bk = c - a

Divide both sides by k:

k = (c - a) / b

Hi can someone please help me with this question

Answers

Answer: B. 3x + 1/5

tom's pencil is longer than Ellen's pencil:

5x + 2/5 - (2x + 1/5) = 5x - 2x + 2/5 - 1/5 = 3x + 1/5 (cm)

Step-by-step explanation:

Please help everything you need is on the picture.

Answers

She would need to buy 75% of the dress Bc 100%-25% is 75%

|-1|=-1 is this true

Answers

false whenever you have the absolute value of a number it’s always positive so, |-1|=1

Answer:

False

Step-by-step explanation:

The question is asking for the absolute value of -1. The absolute value is the distance of a number from 0. Think of a number line. -1 is one place away from 0, so the absolute value of -1 is 1. Therefore, the statement is not true.

Nine times the sum of a number and 6 equals 7. nown number​

Answers

42x42 I think because of how you were asking the question

ACTIVITY #1:
A. Write each number in scientific notation.
1. 38,000,000,000
4.0.000000001
2. 2,016,000,000,000 5. 0.000000001007
3. 0.000000000091306

Answers

Answer:

baaababababbabababab

If the diameter of a sphere is 12 cm then the radius of the
sphere is
cm.

Answers

Answer:

The diameter of the sphere is 12cm and the radius is half of the diameter, so the radius would be 6cm

Step-by-step explanation: just search it up on goo

lge

Answer:

6 cm

Step-by-step explanation:

The diameter of the sphere is 12cm and the radius is half of the diameter, so the radius would be 6cm

What is the value of the expression

245-4) - 3 x (2+1)
7
19
51
1.75​

Answers

Answer:

Step-by-step explanation:

(245 - 4) - 3 x (2 + 1)

   241 - 3 x 3

      241 - 9

         232

or if u wrote the problem wrong

(45 - 4) - 3 x (2 + 1)

   41 - 3 x 3

      41 - 9

        32

actually comment what the actual equation is and I'll solve that, bc I don't think you typed it right

Help with this question plzz

Answers

Answer:

I think it is 4 white and 3 blue

Step-by-step explanation:

Because they have 3 cups of white then 6 cups of white so i think they multiplied it. Then they have 4 cups of blue then 8 cups of blue. So if you multiply it, it will give you the answer. I hope this is right and it helped and can you mark me brainliest!!!!!!!!

What is the slope of the line represented by the equation y = 4/5x-3?

Answers

Answer:

The slope is 4/5

Step-by-step explanation:

Which of the following shapes are quadrilaterals ? Please choose 2 correct answers !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Answers

Answer:

B and D

Step-by-step explanation:

quadrilaterals only have 4 sides hence the prefix quad

Answer:

B and D

Step-by-step explanation:

C has five sides and A has three sides with a curve, curve doesn't count as a side

Can somebody do this for me

Answers

Answer:

Y24

Step-by-step explanation:

get smart child :)))

need geometry help please

Answers

Answer:

R

Step-by-step explanation:

It is a triangle, so whichever point is not part of the line MUST be the opposite.

Also I am in geometry too, had my midterm today :D

Factor x2 – 8x + 15.

Which pair of numbers has a product of ac and a sum of b?



What is the factored form of the trinomial?

Answers

Answer:

x^2-8x+15

X^2+(a+b)X+ac

=X^2-(5+3)X+(1)(15)

a+b=8

ac=15

=x^2-5x-3x+15

=x(x-5)-3(x-5)

=(x-3)(x-5)

Answer:

a) -3 and -5

a) (x - 3) (x - 5)

Step-by-step explanation:

Which matrix will always give a determinant of 0?
a matrix having all nonzero numbers
a matrix not being the identity matrix
a matrix not having equal rows
a matrix having two equal rows

Answers

Answer:

It's D, a matrix having two equal rows

Step-by-step explanation:

Could someone please explain what an "infinite" and "finite" number is?

I'd also appreciate examples of both. :)

Answers

Answer:

finite is numbers that stop at some point, like randomly... 23. infinite is numbers that go on forever like infinity.

Step-by-step explanation:

-2x - 14 = -2
Solve for x.

Answers

Answer:

X=-6

Step-by-step explanation:

Add 14 on both sides

-2x=12

divide by -2

x=-6

X= -6

-2x-14=-2
Add 14 to both sides
-2x=12
Divide by -2 to get X by itself
X= -6

What's the rate of inflation, this one will be worth 100 points for whoever gives me the correct answer and brainliest (If I can spell)

Answers

Step-by-step explanation:

it is 4.5% rate in inflation

I think it helps you

Answer:

a 4.5 % rate in change

Step-by-step explanation:

Can some one please solve these 10 questions I'm kinda confuse also please show the work for each willnmarl brianliest

Answers

Answer:

PEMDAS

Step-by-step explanation:

Follow this order to solve problems

Solve in

Parentheses

then

Exponents

then

Multiplication

or

Division

then

Addition

or

Subtraction

from left to right

Try to solve it on your own using this

Just to help ya out next time you have to answer these kind of questions

Answer:

1. 14  2. 64  3. 15  4. 27  5. 70  6. 62  7. 446  8. 23  9. 27  10. 102

Step-by-step explanation:

1. 4 + 84 / 7 - 2    2. 5 x 5 - 7 +82 / (2 x 1) + 5    3. (52-43) / 3 x (2 + 3)

  4 + 12 -2                 25 - 7 + 82 / 2 + 5                   9 / 3 x 5

     16 - 2                     25 - 7 + 41 + 5                           3 x 5

        14                            18 + 41 + 5                                15

                                            59 + 5

                                               64

4. 40 / 1 + 3 - (3 x 7) + 7 - 2     5. 3 + 6 x 12 - 5        6. (54 / 6) - 7 + (4 x 15)

       40 + 3 - 21 + 7 - 2                  3 + 72 - 5                    9 - 7 + 60

          43 - 21 + 7 - 2                         75 - 5                          2 + 60

              22 + 7 - 2                               70                               62

                 29 - 2

                    27

7. 5 x (49 / 1 - 5) x 2 + 9 - 3    8. 20 / 4 + 3 x 6    9. 19 + 63 / 9 x 3 - 13

     5 x 44 x 2 + 9 - 3                      5 + 18                  19 + 7 x 3 - 13

        220 x 2 + 9 - 3                          23                       19 + 21 - 13

            440 + 6                                                                 40 - 13

                446                                                                        27

10. (64 / 8) - 5 + (33 x 3)

       8 - 5 + 99

          3 + 99

             102

What is the difference between a rational and irrational number?

Answers

Answer:

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible

Examples of Rational Number

1/9 – Both numerator and denominator are integers.

7 – Can be expressed as 7/1, wherein 7 is the quotient of integers 7 and 1.

√16 – As the square root can be simplified to 4, which is the quotient of fraction 4/1

0.5 – Can be written as 5/10 or 1/2 and all terminating decimals are rational.

0.3333333333 – All recurring decimals are rational.

Examples of Irrational Number

√2 – √2 cannot be simplified and so, it is irrational.

√7/5 – The given number is a fraction, but it is not the only criteria to be called as the rational number. Both numerator and denominator need to integers and √7 is not an integer. Hence, the given number is irrational.

3/0 – Fraction with denominator zero, is irrational.

π – As the decimal value of π is never-ending, never-repeating and never shows any pattern. Therefore, the value of pi is not exactly equal to any fraction. The number 22/7 is just and approximation.

0.3131131113 – The decimals are neither terminating nor recurring. So it cannot be expressed as a quotient of a fraction.

why is the graph of the rose curve r=4cos2theta

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

Any point can be represented in polar form by using the notation:

[tex]A = (r, \theta)[/tex] (1)

And any polar function must satisfy the following definition:

[tex]r = f(\theta)[/tex]

Let [tex]r(\theta) = 4\cdot \cos 2\theta[/tex], where [tex]r[/tex] is the radial distance of any point of the curve from origin and [tex]\theta[/tex] is the direction of any point of the curve with respect to +x semiaxis, measured in radians.

Finally, we proceed to graph the function with the help of a graphing tool and attach the result.

Besides, we must remember that cosine is a bounded function, which means that domain and range in rectangular coordinates are represented by:

[tex]Dom\{f\} = [-4,4][/tex], [tex]Ran\{f\} = [-4,4][/tex]

Then, the correct answer is B.

how to find the missing number 51- blank = 13

Answers

Answer:

38

Step-by-step explanation:

51-13=38

Therefore 38 is the missing number

carlos earned 57 points on one section of a test and 26 points on the other section. Which equation expresses his total score.


HELP PLS BROOO

Answers

57+26= .. you just add the two points from each section, and i believe since it’s an expression you do not include the answer

For each 13 mm of coloured fabric Gordon uses to make his curtains he also uses 1 cm of white fabric express the amount of white fabric to coloured fabric as a ratio in its simplest form

Answers

Answer:

[tex]\frac{10}{13}[/tex]

Step-by-step explanation:

In the question, the units of the length of both colored and white fabrics are not the same. So, convert the unit of the white fabrics into mm.

The length of colored fabric used = 13 mm.

The length of white fabric used = 1 cm

                                                     = 10 mm

To express the white fabric to colored fabric, we have;

[tex]\frac{length of white fabric used}{length of colored fabric used}[/tex] = [tex]\frac{10mm}{13mm}[/tex]

                               = [tex]\frac{10}{13}[/tex]

Thus, the amount of white fabric to colored fabric can be expressed as[tex]\frac{10}{13}[/tex].

Carmen runs 4 miles in 30 min. At the same rate, how many miles would she run in 48min?

Answers

Answer: 360 miles hope this helps :D

Step-by-step explanation: 30/4=  1 mile every 7.5 min

7.5min times 48 equals 360 miles

Find the area of the triangle.

Answers

Answer:

1. 54 2. 96

Step-by-step explanation:

10 4/5 times 5

54

evaluate the expression: 4c + 3d + f if c=5 d= -3 f=-2

Answers

Answer:

-67

Step-by-step explanation:

hope it helps you can do it

I need some help ? Does anyone know this:)I’m new too this thats why im asking loll

Answers

the answer is 36 because in order to find area you multiply length and width so:

A= L x W
9 x 4 = 36

Answer:

36

Step-by-step explanation:

area of rectangle =length x width

givens:

width=4 units

length=9 units

area=9x4=36 units squared

Other Questions
suggest why digestion (the breakdown of large macromolecules) is largely performed by extracellular enzymes help What was a major long-lasting effect of the Northwest Ordinance Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppppp meeeeeeeeeeeeeeeeeeeeeeWhat was the purpose of government, according to the Declaration of Independence? own words What percentage of 18 is 24? plss answer dis need it RIGHT NOW. Discuss what age group you think has been most impacted by the restrictions/lifestyle changes that have been placed on society with the pandemic (face mask, social distancing, virtual communication, etc.) Support your answer and discuss how you personally are navigating the changes. For f(x) = 4x, find the value of x for which f(x) = 28A. x = 28 B. x = 7 C. x = 112 D. x = 4 Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets sold (x) and the total income from the tickets (y)? PLSS HELPPPPP its due tomorrowHow did exploration and colonization by Spain affect the great Aztec civilization in Mexico? Pls helps meeeee!!!!!!!!This study does not settle the issue once and for all but rather moves the century-old debate to a new level of scientific detail. Computer models patterned on the condition of the Maine before and after the explosion show that a fire in the coal bunker could have generated sufficient heat to touch off an explosion in the adjacent magazine. On the other hand, computer analysis also shows that even a small, handmade mine could have penetrated the ships hull and set off explosions within. On what might have caused [the hull] to buckle inward, the evidence is inconclusive.Thomas B. Allen,Remember the Maine?,National Geographic,1998What is the most significant piece of evidence related to the sinking, according to this passage?Computer models show different possible scenarios and inconclusive evidence.Fire in a coal bunker most likely created enough heat to start an explosion. The supply of ammunitions played a part in the explosion aboard the ship.A small mine most likely cracked the ships hull and set off an explosion. 3, which of the following best describe the governmentstructure of both Athens and Sparta? Select three answers.A. An assembly of citizensB. A monarchyC. A councilD. A state departmentE. An executive cabinet If the sum of the interior angles of a polygon is 4680, how many sides does the polygon have? Which angle is congruent to angle 8? calculate mpc when a change in investment spending of $40 million leads to an increase in real gdp by $160 million what is 9/10 divided by 3.8 ? By quotient The difference between one-half a number and the number is 8 find the number Which type of joints allows movement Question 4 (1 point)Why does Rachel Skinner think delivering the coronavirus vaccine will be a challenge?bNeedles cannot be used to give people the coronavirus vaccineIt will need to be given to elderly people who have delicate skin,The microneedle patch still needs to be tested in clinical trials.Many people will need to be vaccinated in a short period of time,Od if there was no glucose available for plant and animal cells what would happen? When water forms beads on a surface, as it does on the hood of a freshly waxed car, we can say that the water is ________ its contact with the surface because the cohesive forces are _______ than the adhesive forces. x-y=-3 please answer this right