Mathematics High School

Find the gradient of the line that passes through the points
(5, 1) and (2, -5)

Answers

Answer 1

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Suppose :

a = ( 5 , 1 ) and b = ( 2 , - 5 )

______________________________________

We have following equation to find the slope of the line using two points :

[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

Now just need to put the coordinates in the above equation ;

[tex]slope = \frac{ - 5 - 1}{2 - 5} \\ [/tex]

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

Negatives simpliflies

[tex]slope = \frac{6}{3} \\ [/tex]

[tex]slope = \frac{3 \times 2}{3} \\ [/tex]

[tex]slope = \frac{2}{1} \\ [/tex]

[tex]slope = 2[/tex]

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Answer 2
Change y / change x = gradient
-5 - 1 = -6 2-5 = -3

-6/-3 = 2 so

gradient = 2

Related Questions

Hello can someone help me please..?

Answers

Answer:

From 3:23-3:24

Step-by-step explanation:

A diver descended 46.36 feet in 12.2 minutes.What was the divers average change in elevation per minute? The average change in elevation per minute was ?Ft per minute

Answers

Answer:

The average change in elevation per minute is 3.8 ft per minute

Step-by-step explanation:

Here. we want to calculate the average change in elevation per minute

To calculate this, we simply need to divide the total descent over the total number of minutes

Mathematically, that would be;

46.36 feet / 12.2 minutes = 3.8 feet per minute

Which of these is equivalent to 1 over x to the power of 5 ? 1 fifth x negative x to the power of 5 x to the power of 5 x to the power of negative 5 end exponent

Answers

Answer:

x^-5 = x to the power of negative 5

Step-by-step explanation:

Which of these is equivalent to 1 over x to the power of 5 ?

Mathematically this is expressed as

(1/x)⁵

We have a rule when it comes to expressing power

(1/a)^b = a^-b

Hence, applying this rule to our question

(1/x)⁵ = (1/x)^5

= x^-5

This is written in words as:

x to the power of negative 5

f(x)=3x−5 and g(x)=x2 Find (f°g)(3)

Answers

Answer:

22

Step-by-step explanation:

3!(3)^2-5

3÷9-5

37-5=22

One gallon of milk has 128 fluid ounces. How much milk is in 6.5 gallons?

Answers

Answer:

832 fluid oz

Step-by-step explanation:

Multiply 128 by 6.5

Answer:

832

Step-by-step explanation:

Multiply 128 by 6.5 gallons

C-17 = 19
Hi please help

Answers

Answer:

C=36

Step-by-step explanation:

C-17=19

C=19+17

C=36

Please help I have no idea what the answer is

Answers

Answer:

x = 59

Step-by-step explanation:

All the angles in a triangle add up to 180

Add all the known angles

83 + 38 = 121

To find the third angle, subtract the total of all the angles by the total of the known angles

180 - 121 = 59

helllppppleaseeeee.

Answers

Answer:c

Step-by-step explanation:

The correct answer would be A

A recipe calls for 3 1/2 cups of milk and makes 10 servings. How many cups of milk are needed for 8 servings? (Hint: Set up a proportion, don’t forget to label!)

Answers

Answer:

2.8 or 2 4/5

Step-by-step explanation:

Here's our proportion of cups of milk to servings

3 1/2:10      For my sake I'm using decimals

3.5:10

Now let's try to get our servings to 1 (a unit rate)

0.35:1         I divided by 10 on each side

We need 8 servings not 1 so let's multiply 8 on each side

2.8:8

In case you want it in fraction form we can do 2 8/10 and simplify it to 4/5 by dividing by 2. Our answer is 2.8 or 2 4/5 cups of milk for 8 servings.

Solve for X. -15 = 22x + 7

Answers

Answer: x=-1

Step-by-step explanation: Here is one way of answering this question. First you need to subtract 7 from both sides and that will leave you with -22=22x. Then you just divide 22 on both sides. So that will give you an answer of -1=x or x=-1

X=1. Hope this helps you out!!

Write an expression that can be used to determine the total cost of buying g pounds of granola for $3.25 per pound and f pounds of flour for $0.74 per pound. (Do not enter dollar signs or spaces in your expression.)

Answers

Answer:

3.25g + 0.74f = t

What is the length of the unknown side of the right triangle?

A right triangle with hypotenuse x and legs 21 and 20

21
29
400
441

Answers

According to Pythagoras theorem,

h² = b² + h²

=> x² = 21² + 20²

=> x² = 441 + 400

=> x = √841

=> x = 29

Thus, the length of the unknown side is 29 units.

Write each expression in standard form.

6(−5 − 4)− 2( − 7 − 3)

Answers

Answer:

heyyy wassuppp

Step-by-step explanation:

PLEASE ANSWER I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!

Answers

Answer:

1) third point

2) no is the answer

4. The fire was very big
so many firefighters were there.
a. Independent Variable:
b. Dependent Variable:

Answers

Answer:

B. Dependent variable

Stacy paid $54 for 6 pizzas, which is a rate of $ ? per pizza.

Answers

Answer: it’s 9

Step-by-step explanation:

54 divined by 6 = 9

3x-1/5=x+1/3 solve for x

Answers

Answer:

x = 2

Step-by-step explanation:

First, you cross multiply then that will give you

9x - 3 = 5x + 5

collect like terms

9x - 5x = +5 + 3

= 4x = 8

Divide both sides by the coefficient of x that's 4

= 2

Can someone help me with this fast please?
Thank You

Answers

Answer:

3/10 is greater

Step-by-step explanation:

2/7 is equal to 0.29... and 3/10 is equal to 0.3

So, 0.3 is bigger than 0.29

There are more boxes shaded in the picture to the right than the picture to the left. 21 > 20

HELP IS NEEDED
Allen’s score in a video game was changed by -125 points because he missed some targets. He got -25 points for each missed target. How many targets did he miss?

Group of answer choices

3,125

5

25

100

Answers

Answer:3,125

Step-by-step explanation:

A would be the answer

I need help plzzzzzzz!

Answers

With what???!!??!! Lol

Two helicopters leave a heliport at the same time. The first flies 160km/h in a direction of 290 degrees. The second flies 100km/h in a direction of 250 degrees. After 3 hours, how far apart are the helicopters? Round your answer to the nearest kilometer.

Answers

Answer: 315 km

Step-by-step explanation:

If the angle θ is measured from the x-axis, and we have a magnitude A, we can find the rectangular coordinates as:

Ax = A*cos(θ)

Ay = A*sin(θ)

Then:

The first helicopter has a speed of 160km/h, and it's angle is 290°.

Then the components will be:

Vx = 160km/h*cos(290°) = 54.7 km/h

Vy = 160km/h*sin(290°) = -150.4 km/h

Then the point location as a function of time, can be written as:

(where i assumed that the initial position of both helicopters was (0, 0))

P1(t) = (54.7 km/h*t, -150.4 km/h*t)

where t is time in hours.

We can do the same for the other helicopter:

The speed is 100km/h, and the angle is 250°

Then:

Vx = 100km/h*cos(250°) = -34.2 km/h

Vy = 100km/h*sin(250°) = -94 km/h

Then the point location as a function of time, will be:

P2(t) = (-34.2km/h*t, -94 km/h*t)

After 3 hours, the position of each helicopter will be:

P1(3h) = (54.7 km/h*3h, -150.4 km/h*3h) = (163.1 km, -451.2 km)

P2(3h) = (-34.2km/h*3h, -94 km/h*3h) = (-102.6km, -282km)

Now we can calculate the distance between these two points.

Remember that the distance between the points (a, b) and (c, d) is:

D = √( ( a - c)^2 + (b - d)^2)

In this case the distance will be:

D = √(  (163.1 km - (-102.6km))^2 + (-451.2 km - (-282km))^2)

D = √(  (163.1 km + 102.6km)^2 + (-451.2 km + 282km)^2)

D = 315km

How many sides does a decagon have?

sides

Answers

Answer:

It has 10 sides.

Step-by-step explanation:

Answer:

12 sides.

Step-by-step explanation:

A good way to remember this is "decagon" is called that because it has 12 sides, and the month December is the 12th month of the year.

PLEASE HELP ME OUT! WIL GIVE BRAINLIEST TO ANYONE WHO ANSWERS BOTH OR ATLEAST ONE AND SHOW WORK!! THANK YOUU

Answers

Answer 1 is the attached pic

Answer:

16

Step-by-step explanation:

(-2i)(8i)

(2(cos(3π/2)+i×sin(3π/2)))×(8(cos(π/2)+i×sin(π/2)))

2×8(cos(3π/2+π/2)+i×sin(3π/2+π/2))

16(cos(2π)+i×sin(2π))

16(cos(0+2π)+i×sin(0+2π))

16(cos(0)+i×sin(0))

16(alternate form)

2(6-2x)-2x=2(5+x)-4 value of x?

Answers

Answer:

x= 3/4

Step-by-step explanation:

I looked it up. Hope this helps

Answer:

x = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

2(6 - 2x) - 2x = 2(5 + x) - 4 ← distribute parenthesis on both sides

12 - 4x - 2x = 10 + 2x - 4 ← simplify both sides

12 - 6x = 6 + 2x ( subtract 2x from both sides )

12 - 8x = 6 ( subtract 12 from both sides )

- 8x = - 6 ( divide both sides by - 8 )

x = [tex]\frac{-6}{-8}[/tex] = [tex]\frac{3}{4}[/tex]

Determine which of following table is NOT a function.

Answers

Answer: C

Step-by-step explanation:

C beacause one X cannot have two different Y values

Solve for X.

A. 168
B. 180
C. 21
D. 42

Answers

Answer:

Answer = C

Angle x = 21

Property = Angle sum of Triangle

Of the 345 7th graders in music programs, 35% are in choir, 25% are in orchestra and the remaining are in band. How many 7th graders in music programs are in band?

Answers

Answer: 138

Step-by-step explanation:

Number of 7th graders in music programs = 345

Percentage in choir = 35%

Percentage in orchestra = 25%

Percentage in band = 100% - (35% + 25%) = 100% - 60% = 40%

The number of 7th graders in music programs are in band will then be:

= Percentage in band × Total 7th graders

= 40% × 345

= 0.4 × 345

= 138 students

What is the probability of spinning an odd number on the spinner below?

Answers

If the spinner has an odd number of numbers on it, The probability or spinning an odd number will vary

PLEASE HELP

Solve for x 9^(x+2)=27^(8)

Answers

Answer:

I believe the answer is x=10

Hope this is correct! :)

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[tex] {9}^{(x + 2)} = {27}^{8} \\ [/tex]

[tex]( { {3}^{2} })^{x + 2} = ({ {3}^{3} })^{8} [/tex]

[tex] {3}^{2 \times (x + 2)} = {3}^{3 \times 8} [/tex]

[tex] {3}^{2(x + 2)} = {3}^{24} [/tex]

Thus :

[tex]2(x + 2) = 24[/tex]

Divide sides by 2

[tex] \frac{2(x + 2)}{2} = \frac{24}{2} \\ [/tex]

[tex]x + 2 = 12[/tex]

Subtract sides 2

[tex]x + 2 - 2 = 12 - 2[/tex]

[tex]x = 10[/tex]

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express 9 3/2 in simplest radical form

Answers

Answer:

Exact Form:

√93

Decimal Form:

27

Step-by-step explanation:

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