Find the gradient of the line segment between the points (-3,1) and (2,5). Give your answer in its simplest form.

Answers

Answer 1

Answer:

[tex]\displaystyle m = \frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (-3, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{5 - 1}{2 - -3}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle m = \frac{4}{5}[/tex]

Related Questions

Martin measure the length of his window he measures 26 inches the actual of the window was 25 inches what percent of this an era is this

Answers

Answer:

4% maybe

Step-by-step explanation:

pllzz help i'll give brainliest

Answers

Answer:

Triangle 20, 30, and 15 will create a triangle

Step-by-step explanation:

In order for side lengths to make a triangle, the sum of the two shortest sides must be greater than the longest side

5+3 < 9 so it does not work

15+20>30 so it does work

Will give brainly,5 stars,and thank if it CORRECT

Answers

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

Draw a diagram of the archway modeled by the equation y = x^2 + 5x + 24. Fine and label the y-intercept and the x-intercepts on the sketch. Then find and label the width of the archway at its base and the height of the archway at its highest point, assuming the base of the archway is along the x-axis ​

Answers

Answer:

1) Please find the attached drawing of the archway created with MS Excel

2) The y-intercept is (0, 24)

The x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base is 11

The height of the archway at its highest point = 30.25

Step-by-step explanation:

1) Please find the attached drawing of the archway created with MS Excel

2) The y-intercept is (0, 24)

The x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base is 11

The height of the archway at its highest point = 30.25

Step-by-step explanation:

The given function representing the archway is y = -x² + 5·x + 24

1) Please find attached the required drawing of the archway created with MS Excel

2) The y-intercept is given by the point where x = 0

Therefore, we have, the y-value at the y-intercept = -0² + 5×0 + 24 = 24

The y-intercept = (0, 24)

The x-intercept is given by the point where y = 0

Therefore, the x-values at the x-intercept are found using the following equation;

0 = -x² + 5·x + 24

x² - 5·x - 24 = 0

By inspection, we have;

x² - 8·x + 3·x - 24 = 0

x·(x - 8) + 3·(x - 8) = 0

∴ (x + 3) × (x - 8) = 0

Either (x + 3) = 0, and x = -3, or (x - 8) = 0, and x = 8

Therefore, the x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base = The distance between the x-values at the two x-intercepts

∴ The width of the archway at its base = 8 - (-3) = 11

The highest point of the arch is given by the vertex of the parabola, y = a·x² + b·x + c, which has the x-value of the vertex = -b/(2·a)

∴ The x-value of the vertex of the given parabola, y = -x² + 5·x + 24, is x = -5/(2×(-1)) = 2.5

Therefore;

The y-value of the vertex, is y = -(2.5)² + 5×2.5 + 24 = 30.25 = The height of the archway at its highest point

∴ The height of the archway at its highest point = 30.25

The vertex of the parabola is at (-2.5, 17.75). And the y-intercept of the parabola is at (0, 24).

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation of the parabola is given as,

y = x² + 5x + 24

Convert the equation into a vertex form, then we have

y = x² + 5x + 25/4 - 25/4 + 24

y = (x + 5/2)² + 71/4

y = (x + 2.5)² + 17.75

The vertex of the parabola is at (-2.5, 17.75). The y-intercept of the parabola is given as,

y = (0)² + 5(0) + 24

y = 24

The y-intercept of the parabola is at (0, 24).

More about the equation of the parabola link is given below.

https://brainly.com/question/20333425

#SPJ2

what 0x0+1-0 explain it has to be mathematical geniuses

Answers

Answer:

1

Step-by-step explanation:

you cant multiply 0 and 0 and then plus one minus 0 you can't minus anything cuz it's well zero and it would be one

Answer:

1

Step-by-step explanation:

zero times zero is equal to zero, so if you add one to that, it then becomes one. After that, if you subtract zero from that you are basically not changing the one.

so yeah

Mrs. Taylor bought 16⅓ yards of material. She used 5¾ yards. How much material does she have left? *

Answers

Answer:

10\frac{7}{12}

Step-by-step explanation:

First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.

Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.

Now you are left with \frac{4][12] and \frac{9}{12}.

Add those back to your numbers

16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}

(-14,-3) (6,10) find the slope and explain
please

Answers

Answer:

The slope would be 13/20

Step-by-step explanation:

10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)

hope this helps!!

Solve: x + 1 < 4 and 3 - x > 5

Answers

Answer:

okokok

Step-by-step explanation:

PLZZ I NEED HELP ASAP!!! Due in 12 minutes!!!!
24 points!!!!


The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 72 miles due north of the warehouse.


Coordinate grid shown from negative 54 to positive 54 on x axis at intervals of 9 and negative 54 to positive 54 on y axis at intervals of 9. A straight line is shown between the points labeled Airport and Warehouse. Airport is the ordered pair negative 27, 36, and Warehouse is the ordered pair 27 and negative 36. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled? (5 points)

54 miles
72 miles
144 miles
162 miles

Answers

144 miles as you can see from the slope in the graph
It would be 54 miles

1/3x² + x+5/3x² = 1/9

HAHAHAHA......​

Answers

Answer:

[tex]\huge \bf༆ Answer ༄[/tex]

Step-by-step explanation:

Let's solve for x ~

[tex] \sf \dfrac{1}{3} {x}^{2} + x + \dfrac{5}{3} {x}^{2} = \dfrac{1}{9} [/tex]

[tex] \sf \dfrac{(1 + 5)}{3} {x}^{2} + x = \dfrac{1}{9} [/tex]

[tex] \sf \dfrac{6}{3} {x}^{2} + x - \dfrac{1}{9} = 0[/tex]

[tex] \sf2 {x}^{2} + x - \dfrac{1}{9} = 0[/tex]

Multiply each term with 9 on both sides of the equation

[tex] \sf(2 {x}^{2} \times 9) + (x \times9 ) - ( \dfrac{1}{9} \times 9 ) = 0 \times 9[/tex]

[tex] \sf18 {x}^{2} + 9x - 1 = 0[/tex]

Now, let's use Quadratic formula to find its roots ~

[tex] \sf \dfrac{ - {b}^{} \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

where,

b is Coefficient of x = 9

a is Coefficient of x² = 18

c is the constant term = -1

Let's find the roots ~

[tex] \sf \dfrac{ - 9 \pm \sqrt{(9 {}^{2}) - (4 \times 18 \times - 1) } }{2 \times 18} [/tex]

[tex] \sf \dfrac{ - 9 \pm \sqrt{81- ( - 72) } }{36} [/tex]

[tex] \sf \dfrac{ - 9 \pm \sqrt{81 + 72} }{36} [/tex]

[tex] \sf \dfrac{ - 9 \pm \sqrt{153} }{36} [/tex]

[tex] \sf \dfrac{ - 9 \pm 3\sqrt{17} }{36} [/tex]

[tex] \sf \dfrac{3( - 3 \pm \sqrt{17} )}{36}[/tex]

[tex] \sf \dfrac{ - 3 \pm \sqrt{17} }{12} [/tex]

Therefore the value if x are ~

[tex] \sf \dfrac{ - 3 + \sqrt{17} }{12} \: \: and \: \: \sf \dfrac{ - 3 - \sqrt{17} }{12} [/tex]

I hope it helps ~

What is 100X190
I give brainliest to the one who answers correctly.

Answers

Answer:

it is 19000 hope this helps!

Answer:

19,000

Step-by-step explanation:

Basically add 2 zeros to 190

Hope this helps!

What is an expression equivalent to 25x^2+28x+16

Answers

See the attached picture

amelia sells jewelry. she earns 12% commission on her sales , and a weekly salary of 550. how much did amelia earn this month if she sold 22,540 worth of jewelry?

Answers

Answer:

$27,444.80

Step-by-step explanation:

12% of 22,540 is 2,704.8

add the amount she made

add the weekly salary (550 × 4)

HOLA necesito ayuda... como puedo combertir 50% en fraccion y decimal. Y como combertir 25% en fraccion y decimal

Answers

Answer:

Step-by-step explanation:

50/100 = 1/2 or 0.5

25/100 = 1/4 or 0.25

Jenny is saving money to buy a bike that costs $164. She has $52 and will save an additional $8 each week. In how many weeks will she have enough money to buy the bike?

Answers

Answer:

14

Step-by-step explanation:

164 = 8x + 52

Subtract 52 from both sides

112 = 8x

Divide both sides by 8

14 = x

Select the correct answer.

Which expression in factored form is equivalent to this expression?

Answers

what is the expression?

??????????????????????????​

Answers

Answer:

Top left and bottom one

Step-by-step explanation:

When we divide 1800 birr to three brothers in the ratio 2:3:1, what is the smallest share?

Answers

Answer:

300

Step-by-step explanation:

2+3+1=6

1800=6 parts

1 part=1800/6=300

The smallest share among the three brothers is 300 birrs.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, we divide 1800 birrs to three brothers in the ratio 2:3:1,

Let the amount they hold be 2x, 3x and x

Therefore, 2x+3x+x = 1800

6x = 1800

x = 300

Hence, The smallest share among the three brothers is 300 birrs.

For more references on ratios, click;

https://brainly.com/question/13419413

#SPJ2

Find the area of the parallelogram

Answers

Answer:

A = 99.84 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 9.6 and h = 10.4 , then

A = 9.6 × 10.4 = 99.84 cm²

Step-by-step explanation:

We can see that this parallelogram is two right angles joined side by side. Normally the area of a parallelogram is Base x Height.

But let's make an exception.

For the first right angle. The area = 1/4(b+h)

¼(10.4+9.6) = 5cm²

We see that the base of the triangle is flipped and the angles correspond

so, the area would be 5cm² * 2

= 10cm²

Please help me with this problem!

Answers

Answer:

57 degrees

Step-by-step explanation:

It is an isosceles triangle because QP has the same length as OP. So the base angles will be the same.

How i can answer this question

Answers

Hi! You must give your answer in it’s simplest form

So, because 4q and 2q are like terms that would become 6q

Because 3 and 1 are like terms it would be 3-1 which is 2

Therefore your answer is 6q+2

Hope this helps :)

Answer:

3(2q+1)

Step-by-step explanation:

6q+2

3(2q+1)

A quadratic. equation will always have an irrational solution since there is a square root in the quadratic formula. True or False?​

Answers

Answer:

False

Step-by-step explanation:

If the square root can be simplified to a rational number the solution will not be irrational.

Answer:

False

Step-by-step explanation:

Consider reducible quadratic equations. They have rational solutions.

16 and -10 are the solutions to which one of the fol-
lowing equations?
A. |x-2|= 14
B. |x-2|= 8
C. |x+2|= 12
D. |x-3|= 13
E. |x+3|=13

Answers

The answer is D!
(x-3)+3 = (13)+3 = 16
(x-3)+3 = (-13)+3 = -10

what is the area of a oblong with a base of 7cm and a height of 4 cm

Answers

Answer: 7*4 is 28 square centimeters...

How to solve 9/11 * —- = 3/4

Answers

Answer: 9/11 diveded by 3/4

Step-by-step explanation: divde to get middle answer

8 less than the sum of 6 and a number

Answers

Answer:

(6 + n) - 8

Hope this helps.

Pls mark brainliest. :D

Answer:x < 2

Step-by-step explanation: 6+x < 8

x < (8-6)

x < 2

One-third of a number b times -2 is less than or equal to -11/6

Answers

Answer:

Step-by-step explanation:

Ignore the 0,0 at the top of the paper but that should be the equation.

Find x, y, and z. Drag and drop the numbers into the boxes to show the value of each variable.

Answers

Answer:

x=186.68

y=140

z=233.34

Step-by-step explanation:

easy method to solve since you have the answers to pick from

first triangle. we have two sides 175 and 105 and we know that 175 have to be the largest number, its the hypotenuse. which means

y=140,

cannot be 233 or 186 because both greater than 175

now next triangle. x-y-z, we already know "y" and "z" needs to be the largest number so it has to be

z= 233.34 and finally

x=186. 67

12.5(20 + 35) - 38(16)

Answers

Answer:

79.5

Step-by-step explanation:

20+35=55

38*16=608

12.5*55=687.5

687.5-608=79.5

Hope this helps! Plz give brainliest! Also, pls sub to kgirl633 on yt.

Answer: 79.5

Step-by-step explanation:

Someone please help

Answers

i would guess the answer is 1 since that’s where b is on the other side
Other Questions
today I did something fun!I gave a kid a gold scar and he shot all the students #victoryroyale 2. It serves as the foundation of all crochet work. a. Chain stitch C. double treble b. Treble stitch d. slip stitch What the vertex of y=4(x-3)^2+3 what is the root meaning of dysfunction as discussed in lecture and the textbook? How did American prisons develop? Through what stages did such development occur? WORTH 10 will crown Which of the following most directly resulted from concerns over the increased power of the federal government in the late 1700sA rebellions over the right to tax goods such as the whiskey rebellion B slave uprisings such as Nats Turners Rebellion C revolts over requirements to pay taxes in hard currency such as shays rebellion D conflicts over access to land such as bacons rebellion 468 divided by 3 step by step solution Use the GCF and the Distributive property to find the sum of 66+78 A ball falling from a height of 5 m was caught at some height after being reflected off the floor. Find the magnitude of the movement of the ball. If the distance traveled is equal to 7 meters. simplify help me to do this if a plant is not green (does not contain chlorophyll) can it do photosynthesis? why or why not? Find the equation of the line specified. The line passes through the points ( 2, 1) and ( 5, 4) a. y = x + 1 c. y = x - 1 b. y = -x - 1 d. y = x + 3 Please select the best answer from the choices provided A B C D which of the following forces could be used in electronic devices?springgravitationalappliedmagnetic Why might Paine want to use a country without a king as an example in his argument? A bag has 25 beads in it.the probability of picking a white bead is 3/5.how many white beads are in the bag Find the HCF of x 2 y 3 and x 3 y Why is the sea level increasing? How does it effect in Small islands and coastal areas? Please help me........ Identify distinct characteristics of arts during the different art periods. been trying for an hour, need help Select the correct answerPart of social health means that you make positive contributions to your community.A.TrueB.False