What is the slope of (3, 3) and (-6, -3)

Answers

Answer 1

Answer:

m=2/3

Step by Step Explanation:

x1,y1= 3,-6

x2,y2=3,-3

m={-3-3}           (Fraction Form)

    {-6-3}

Refine:

m={2}{3}

Answer 2

Answer:

Slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Step 1:  Identify x1, x2, y1, y2

Slope Formula:  [tex]\frac{y2-y1}{x2-x1}[/tex]

(x1, y1) -> (3, 3)

(x2, y2) -> (-6, -3)

Step 2:  Plug into the formula

Slope = [tex]\frac{-3 - 3}{-6 - 3}[/tex]

Slope = [tex]\frac{-6}{-9}[/tex]

The top negative sign and the bottom negative sign cancel to make a positive number.

Slope = [tex]\frac{-6}{-9}[/tex]

Slope = [tex]\frac{6}{9}[/tex]

The top and bottom can be simplified by a factor of 3.

Slope = [tex]\frac{6}{9}[/tex]

Slope = [tex]\frac{6/3}{9/3}[/tex]

Slope = [tex]\frac{2}{3}[/tex]

Answer:  Slope = [tex]\frac{2}{3}[/tex]


Related Questions

A TV sells for 290$. If it's discounted at 15%, what is the discount

Answers

The discount is $43.50, making the price of the discounted TV $246.50.

15% = .15

.15 x 290 = 43.5

$290 - $43.50 = $246.50

6q-11=13
What does q equal to?

Answers

Answer:

q=4

Step-by-step explanation:

brainlest would be epic owo

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*q-11-(13)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  6q - 24  =   6 • (q - 4)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    q-4 = 0

Add  4  to both sides of the equation :

                     q = 4

Answer:

q=4

Step-by-step explanation:

6q-11=13    first you have to get all the like terms together so add 11 to both sides

6q=24             Now divide both sides by 6 so you just have q on one side

q=4

In the diagram, HK is tangent to Circle O. If HK is 24mm and the length from H to the
edge of the circle along OH is 18mm, what is the length of the radius of the circle?

Answers

Answer:

The length of the radius of the circle is 7 mm

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If HK is tangent to circle O at point K

then

The radius OK is perpendicular to segment HK and triangle OKH is a right triangle

Applying the Pythagorean Theorem

[tex]OH^2=OK^2+HK^2[/tex]

we have

[tex]OH=(r+18)\ mm\\OK=r\ mm\\HK=24\ mm[/tex]

substitute

[tex](r+18)^2=r^2+24^2[/tex]

solve for r

[tex]r^2+36r+324=r^2+576[/tex]

[tex]36r=576-324\\36r=252\\r=7\ mm[/tex]

therefore

The length of the radius of the circle is 7 mm

degree of inverse tangent of 0.83​

Answers

Answer:

39.69 degrees

Step-by-step explanation:

Let

x ----> the measure of the angle

we have that

[tex]tan(X)=0.83[/tex]

using a calculator

[tex]m\angle X=tan^{-1}(0.83)=39.69^o[/tex]

Select the correct answer
Psychologists have identified four stages of personality growth. In which stage does a person develop life skills and learn to take initiative?
A
infancy
childhood
B.
c. adolescence
D. adulthood
Reset
Next

Answers

Adolescences is the answer

Answer:

adolescence

Step-by-step explanation:

credit card customer owes $523.85. They
re only able to make a payment of $184.50. How
much money does the customer still owe?

Answers

Answer:

$339.25

Step-by-step explanation:

Since the credit card customer owes $523.85 and is only able to make a payment of $184.50

Amount still owed

= $523.85 - $184.60

= $339.25

The customer still owes $339.25

Describe an easy way to find the square root
when the number is not a perfect square?

Answers

The product of a rational number multiplied by itself is called as a perfect square.,we can easily find out the square root for a number which is a imperfect square

Step-by-step explanation:

using the following formula we can find a square root for a number which is a imperfect square

X = Non perfect square

√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )

[tex]√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )[/tex]Example

√38

the nearest perfect root is 36

36 (√36=6)

so √38 = √36 + (38-36)/2√36

= 6 + 2/12

=6 + 1/6 = 6.166 (answer)

[tex]√38 the nearest perfect root is 36 36 (√36=6)so √38 = √36 + (38-36)/2√36 = 6 + 2/12=6 + 1/6 = 6.166 (answer)[/tex]

To find the square root of a non-perfect square, use estimation techniques or the quadratic formula if in relation to an equation. Use the imaginary unit i for square roots of negative numbers, and simplify by removing perfect squares when adding or subtracting radicals.

Finding the square root of a number that is not a perfect square can be done using a few different methods. One simple non-calculator method is to use estimation and refinement; start with an approximate guess and improve it. When dealing with negative numbers, remember that we use the imaginary unit i to denote the square roots of negative numbers. For example, a₂ can be written as 2i. Adding and subtracting radicals involves simplifying each radical by removing perfect squares and combining like terms.

For equations where the square root is part of a quadratic equation, ax²+bx+c = 0, if a, b, and c are non-zero, we should use the quadratic formula to find solutions. Estimation also applies when dealing with cube roots or higher, where we can start with an initial guess and use methods like calculus to refine it.

To estimate a surd like a₃ without a calculator, consider its place on the number line between two integers, knowing that a₃ is about 1.732. This helps get an approximate value which is often sufficient for many applications.

find the difference in length between a walking stick and a bumblebee PLS HELP HURRY​

Answers

Difference between the lengths of walking stick and lengths of bumble bee is [tex]3\frac{4}{8}[/tex] inch.

Solution:

Given data represents the length of the insects.

Length of the walking stick = 4 in

Length of the bumble bee = [tex]\frac{5}{8}[/tex] in

Difference between their length

                                        [tex]$=4-\frac{5}{8}[/tex]

                                        [tex]$=\frac{4}{1} -\frac{5}{8}[/tex]

To make the denominator same, multiply and divide the first term by 8.

                                        [tex]$=\frac{32}{8} -\frac{5}{8}[/tex]

                                        [tex]$=\frac{32-5}{8}[/tex]

                                        [tex]$=\frac{27}{8}[/tex]

Now, change improper fraction into mixed fraction, we get

                                         [tex]$=3\frac{4}{8}[/tex]

Difference between the lengths of walking stick and lengths of bumble bee is [tex]3\frac{4}{8}[/tex] inch.

Betty is planning to give this box as a gift, so she plans to wrap it. The box is shaped like a rectangular prism, where the length is 14 inches, the width is 5 inches, and the height is 4 inches. How many square inches of paper will she need to cover the entire box?

Answers

Answer:

292 in^2

Step-by-step explanation:

Area of the top and bottom combined is 2(14 inches)(5 inches)), or 140 in^2.

Area of the two ends, combined, is 2(4 inches)(5 inches)) = 40 in^2.

Are of the two sides, combined, is 2(14 inches)(4 inches)) = 112 in^2.

Summing up these three subtotals, we get the total area 292 in^2.

the equation y=26.2x represents the number of miles y Conrad runs in x marathons. determine if there is a constant of variation. if so, explain what it represents:/

Answers

Final answer:

Yes, there is a constant of variation in the given equation y = 26.2x. The constant of variation represents the rate at which the number of miles y increases for every marathon x completed by Conrad.

Explanation:

Yes, there is a constant of variation in the given equation y = 26.2x. A constant of variation is represented by the coefficient or the number multiplied by x in the equation, which in this case is 26.2. It represents the rate at which the number of miles y increases for every marathon x completed by Conrad. So, for every marathon Conrad runs, the number of miles he runs increases by 26.2.

Solve the equation
-4(8+y)=9

Answers

Answer:

[tex]-\frac{41}{4}[/tex]

Step-by-step explanation:

-4(8+y)=9

Distribute:

-32-4y=9

Add 32 on both sides:

-4y=41

Divide -4 with 41:

y=-41/4

Answer:

[tex]y = - \frac{41}{4} = - 10 \frac{1}{4} \\ [/tex]

Step-by-step explanation:

[tex]-4(8+y)=9 \\ - 32 - 4y = 9 \\ - 4y = 9 + 32 \\ - 4y = 41 \\ \\ y = - \frac{41}{4} = - 10 \frac{1}{4} [/tex]

if you qre travelling @90 km/h how far will you travel in 42 mins? Can someone show me step by step solution pls on how to work it out. ​

Answers

Answer:

Distance = 63 km

Step-by-step explanation:

Speed = 90 km/h

Time = 42 mins

Time = 42 / 60 = 0.7 hrs

Distance = Speed × time

Distance = 90 km/h × 0.7 hr

Distance = 63 km

A basketball has a diameter of 9.5 in. When full, ABOUT how much air will the basketball hold? ( please do not guess)

A. 100 cubic inches
B. 380 Cubic inches
C. 450 Cubic inches
D. 3,600 Cubic inches

Answers

Answer:

I got 3591.36 cubic inches

Step-by-step explanation:

Its wrong its wrong

Isolate the identity

cos 2x - cos 8x
cos 2x + cos 8x

HELP PLS

Answers

Answer:

Cos 2x = Cos (5x-3x)

Cos(5x)Cos(3x) + Sin(5x)Sin(3x)

Cos 8x = Cos (5x + 3x)

Cos(5x)Cos(3x) - Sin(5x)Sin(3x)

Cos 2x - Cos 8x

= Cos(5x)Cos(3x) + Sin(5x)Sin(3x) -

[Cos(5x)Cos(3x) - Sin(5x)Sin(3x)]

= 2Sin(5x)Sin(3x)

Cos 2x + Cos 8x

= Cos(5x)Cos(3x) + Sin(5x)Sin(3x) +

[Cos(5x)Cos(3x) - Sin(5x)Sin(3x)]

= 2Cos(5x)Cos(3x)

= 2Sin(5x)Sin(3x) ÷ 2Cos(5x)Cos(3x)

2 gets cancelled out

Sin(5x)/Cos(5x) is Tan(5x)

Sin(3x)/Cos(3x) is Tan(3x)

Hence the fraction is identical to

Tan(5x)Tan(3x)

Which best explains why a hot air balloon rises into the air?

A. As the air is cooled, it becomes more dense and the balloon rises.
B. As the air is cooled, it becomes less dense and the balloon rises.
C. As the air is heated, it becomes less dense and the balloon rises.

Answers

C. As the air is heated, it becomes less dense and the balloon rises.

Answer:

C. As the air is heated, it becomes less dense and the balloon rises.

Step-by-step explanation:

A is wrong. The denser cold air would cause the balloon to drop.

B is wrong. As the air is cooled, it becomes less dense.

Ryan measures a rectangle that is 9 feet long and 5 feet wide. Teo measures a rectangle that has an area of 36 square feet. Which rectangle has the greater area/ explain

Answers

Answer:

Teo's rectangle has the greater area.

Step-by-step explanation:

Since a rectangle has the same opposite sides of parallel sides, you need to add or multiply 9 times 9 or 9 + 9 and 5 times 5 or 5 + 5. 9 x 9 or 9 + 9 equals 18, and 5 + 5 or 5 x 5 equals 10. Then, 18 and 10 is to be added. 18 + 10 is 28. So, that means Teo's rectangle has the greater area because, 28 is less than 36.

Final answer:

To compare the areas of the rectangles, calculate the area of each rectangle. Ryan's rectangle has a greater area of 45 square feet compared to Teo's rectangle which has an area of 36 square feet.

Explanation:

To compare the areas of the two rectangles, we need to calculate the area of each rectangle. The area of a rectangle is found by multiplying its length by its width. For Ryan's rectangle, the length is 9 feet and the width is 5 feet, so the area is 9 feet × 5 feet = 45 square feet. For Teo's rectangle, we are given that the area is 36 square feet. Since 45 is greater than 36, Ryan's rectangle has the greater area.

Learn more about Comparing Areas of Rectangles here:

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Select the most SPECIFIC name for this shape
O Trapezoid
O Rectangle
O kite
O Quadrilateral

Answers

Answer:

Option A, Trapezoid

Step-by-step explanation:

Since there is two parallel sides and two nonparallel, that means it is a trapezoid.

Answer:  Option A, Trapezoid

A, trapezoid

Because it has only one set of parallel sides

M=-2 (-3,4) how do you write it into slope intercept

Answers

Answer:

y = -2x - 2

Plug the x- and y-values into the appropriate spaces in the slope-intercept form and see which value for b would make the equation true:

4 = -2(-3) +/- ?

4 = 6 - 2

4 = 4

I don't know if this makes sense, I'm sorry if it doesn't but the answer is correct because it goes through the point (-3,4)

The answer is y = -2x - 2

You have to first plug the x- and y-values into the correct spots in the slope-intercept form and see which value for b would make the equation true.

4 = -2(-3) +/- ?

4 = 6 - 2

4 = 4

Hope to help.

Which lines best approximate the directrices of the ellipse? Round to the nearest tenth. x = −4.6 and x = 4.6 x = −3.5 and x = 3.5 y = −4.6 and y = 4.6 y = −3.5 and y = 3.5

Answers

Answer: c

Step-by-step explanation:

Answer:

C y = −4.6 and y = 4.6

Step-by-step explanation:

Edge 2023

The difference of a number and six is seven. Find the number.

Answers

Answer 13-6=7

Step-by-step explanation:

Final answer:

The given expression indicates a difference of six and an unknown number equals to seven. To solve, we isolate the unknown number by adding six to both sides of the equation. Thus, the unknown number is 13.

Explanation:

The question states that 'The difference of a number and six is seven.' To find out the number, we can set up the following equation where x represents our unknown number:

x - 6 = 7

To solve for x, we can add 6 to both sides of the equation, which balances it rendering the final result:

x = 7 + 6

Finally, adding 7 and 6, we find that x = 13. The number we are seeking is 13.

Learn more about Simple Algebra here:

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please help I NEED HELP PLS SKDJLAK

Answers

Answer:   -√6 + 1

Step-by-step explanation:

[tex]\dfrac{\tan\bigg(-\dfrac{2\pi}{3}\bigg)}{\sin\bigg(\dfrac{7\pi}{4}\bigg)}-\sec(-\pi)\\\\\\=\dfrac{\tan(240^o)}{\sin(315^o)}-\sec(180^o)\\\\\\=\dfrac{\sqrt3}{-\dfrac{\sqrt2}{2}}-(-1)\\\\\\=\dfrac{-2\sqrt3}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)+1\\\\\\=\large\boxed{-\sqrt6+1}[/tex]

What is the shape of the horizontal cross section of the given prism?

Answers

Answer:

pentagon

Step-by-step explanation:

In this problem we have a pentagonal prism

so

The solid has two pentagonal bases and five lateral rectangular faces

we know that

A plane parallel to the base of a pentagonal prism will intersect a cross section that is the same shape as its bases

so

The shape of the horizontal cross section of the given prism, is a pentagon

Answer: Pentagon

Step-by-step explanation:

2. On rectangle ABCD below, if A is located at

(3, 4) and B is located at (7,6), is the slope

of BC ?

Answers

Answer: The slope of BC is -2.

Step-by-step explanation:

We know that a rectangle has all opposite sides equal and parallel.

Each interior angle is a right angle.

Therefore , if rectangle ABCD is a rectangle then , AB should perpendicular to  BC.   [ ∵ Angle between AB and BC is 90° .]   (1)

Also , slope of line passing through (a,b) and (c,d) :  [tex]\dfrac{d-b}{c-a}[/tex]

If A is located at (3, 4) and B is located at (7,6) .

Then , The slope of AB = [tex]\dfrac{6-4}{7-3}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Also, the product of slopes of two perpendicular lines is -1.

Then , (Slope of AB) x  (Slope of BC) = -1     [From (1)]

[tex]\Rightarrow\ \dfrac{1}{2}\times (\text{Slope of BC})= -1\\\\\Rightarrow\ \text{Slope of BC}=-2[/tex]

Hence, the slope of BC is -2.

what is 54 percent of 489

Answers

Answer:

264.06

Step-by-step explanation:

Answer:

264.06

Step-by-step explanation:

54% of 489

0.54 x 489=264.06

you have 24 homework problems for math class. you finish 1/2 of them during some extra time in class. If you complete 4 more problems while waiting for the bus, what fracrion of the 24 problems will remain

Answers

Answer:

⅓ remaining

Step-by-step explanation:

½ of 24 = 12

12 + 4 = 16 done

24 - 16 = 8

8/24 = 1/3

Answer:

1/3

Step-by-step explanation:

1) we have 24 problems

2) we finish half of them

What is half of 24?

It’s 12

So far, we have 12 problems to do

Then we finished 4 more problems so we can subtract 4 from 12

12-4=8

8 more problems left out of the 24 we had

8/24=1/3

1/3 of the 24 problems remain

Hope this helps!

what is (5a+2)(a+4) in polynomial standard form​

Answers

............................

Answer:

5a²+22a+8

Step-by-step explanation:

(5a+2)(a+4)

5a² + 20a + 2a + 8

5a² + 22a + 8

Batteries are sold in boxes and packets

Each packet contains 8 batteries
Each box contains 25 batteries

Jonathon buys p packets of batteries and b boxes of batteries
write down an expression of the terms p and b for the total number of batteries bought

Answers

Answer:

8p + 25b

Step-by-step explanation:

The expression of the word problem above can be written thus:

[tex]8p + 25b[/tex]

Angle x measures 42°. Find the measure of angle y.

42°
48°
138°
148°

Answers

138 Degrees because it’s supplementary so 180 - 42 = 138

How long is the minor axis for the ellipse shown below?

(x+3)^2/64 + (y-7)^2/4=1

A. 16
B. 4
C. 8
D. 64

Imagine is shown above.

Answers

The length of the minor axis is 4

Step-by-step explanation:

Step 1 :

The given equation  is  [tex]\frac{(x-3)^{2}}{64} + \frac{(y-7)^{2}}{4} = 1[/tex]

Here we see the denominator below the variable x is greater than below y. Hence the ellipse's major axis and the minor axis are parallel to x-axis  and  y-axis respectively

Step 2 :

The square of the semi minor axis will be the denominator of the y variable. So in the given ellipse ,

the square of the semi minor axis = 4

Hence the length of the semi minor axis  = [tex]\sqrt{4}[/tex]  = 2

Step 3 :

The length of the minor axis = 2 times the length of the semi minor axis

                                               = 2 × 2 = 4

Answer :

The length of the minor axis is 4

Final answer:

The length of the minor axis of the given ellipse is 4 units, as the semi-minor axis length is derived from the square root of the denominator of the y-term in the ellipse equation. The correct option is B.

Explanation:

The minor axis of an ellipse is the shortest diameter of the ellipse, and it runs perpendicular to the major axis. In the given equation of the ellipse, (x+3)²/64 + (y-7)²/4=1, the denominators of the fractions correspond to the squares of the semi-axes lengths. Therefore, the length of the semi-minor axis 'b' is the square root of 4, which is 2. Since the minor axis is twice the length of the semi-minor axis, we must multiply 2 by 2 to get the length of the minor axis, which is 4.

So the correct answer for the length of the minor axis for the given ellipse is 4 units, which corresponds to option B.

Kyle is renting a jetski for the day. If he can rent the jetski in 1-hour increments, what is the minimum number of hours must he rent the jetski for option 2 to be a better deal than option 1? A) 2 hours B) 3 hours C) 4 hours D) 5 hours

Answers

Complete Question:

Option 1: $30 an hour plus a non-refundable deposit of $50.

Option 2: $20 an hour plus a non-refundable deposit of $75.

Kyle is renting a jetski for the day. If he can rent the jetski in 1-hour increments, what is the minimum number of hours must he rent the jetski for option 2 to be a better deal than option 1?

Answer:

Kyle must rent the jetski for three hours for option 2 to be a better deal than option 1

Solution:

Let "x" be the number of hours

Option 1: $30 an hour plus a non-refundable deposit of $50.

Therefore,

Charge for option 1: 50 + 30x

For 1 hour,

Charge = 50 + 30(1) = 80

For 2 hours,

Charge = 30(2) + 50 = 110

For 3 hours,

Charge = 30(3) + 50 = 140

For 4 hours,

Charge =  30(4) + 50 = 160

Option 2: $20 an hour plus a non-refundable deposit of $75

Charge for option 2 : 75 + 20x

For 1 hour,

Charge = 20(1) + 75 = 95

For 2 hours ,

Charge = 20(2) + 75 = 115

For 3 hours,

Charge =  20(3) + 75 = 135

For 4 hours,

Charge =  20(4) + 75 = 155

For the first two hours , the charge of option 2 is more than the rent of option 1

From 3 hours, option 2 will be better deal than option 1

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