Find the gradient of the line segment between the points (-8,6) and (3,8).
Give your answer in its simplest form

Answer:

The is A) 91

Step-by-step explanation:

1. H+S=40

2. 19H+25S=922

From 1,

19H+19S=760

Subtract this from 2 to eliminate H,

19H+25S-19H-19S=922-760

6S=162

Solve for S, then use either equation to solve for H.

Answer:

0.85

Step-by-step explanation:

3.4 / 4 = 0.85

Hope that helps!

The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

"It is a triangle having one of the angle measures 90° "

"It is the longest side of the right triangle."

"For a right triangle,

[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."

For given question,

We need to write a function that models the relationships among x, y, and r.

Consider a right triangle ABC.

where AB = x, BC = y and hypotenuse AC = r

Using Pythagoras theorem,

[tex]x^{2} + y^{2} =r^{2}[/tex]

above function defines the relationships among x, y, and r.

Now we solve above equation for 'r',

[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]

Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

Learn more about function here:

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Answer:

Look below!

Step-by-step explanation:

1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)

150 feet.

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)

Pythagorean theorem—>a^2+b^2=c^2

a and b are the legs, while c is the hypotenuse.

x^2+y^2=r^2

Take the root of both sides

r=√x^2+y^2

Answer:

25%

Step-by-step explanation:

100% means total amount of people surveyed, which is 300 people total.

We're looking for females who own a blue car, so that's 75 people out of 300.

75/300 = 0.25

Convert the decimal to percent by moving decimal 2 places to the right

Answer is 25%

Answer:

B) Failing to diagnose arthritis in a patient who has arthritis

Step-by-step explanation:

CollegeBoard

Answer:

Try to say 1/3 of 5/8 and simplify then you should get an answer in  I believe

Step-by-step explanation:

Answer :

to find area of the square = 6 to the power 2

to find the area of the rectangle = (5x + 12) * 5x

therefore,

square's area = 36

rectangle's area = 5x*5x + 12 * 5x

= 25x * 60x

Now we have to find the sum of both the areas,

so, 36 + 1500 = 1536

Step-by-step explanation:

look I know my answer is wrong but I just wanted points! thnx for the free points! :)))))))))

NANRI! VANAKKAM!

Answer:

About 40% of students own a cat

Step-by-step explanation:

Answer:

$86

Step-by-step explanation:

8 hours times 10.75

Answer: $86.00

Step-by-step explanation:

8 to 9 , 9 to 10, 10 to 11, 11 to 12, 12 to 1 , 1 to 2, 2 to 3 , 3 to 4 come up to 8 hours.

4:00 to 4: 30 is half hour.

So 8:00 to 4: 30 come up to 8 1/2 hours (eight and half hours ).

8:30 am to 4:30 pm= 8 hours.

then it is $10.75x8=$86.00

Hope this helps :) <33

Answer:

-6

Step-by-step explanation:

6x-9x=21-3

-3x=18

x=-6

Answer:

half an hour is 30 minutes

a quarter of an hour is 15 minutes

30/15 = 2

2 quarter hours = 1 half hour

Answer:

height be 4 in

length be 9 in

ANd, the width be 7 in

Step-by-step explanation:

Let us assume the height of the box be x

So the length would be 2x + 1

And, the width be x + 3

As we know that

The volume of the rectangular box = length × width × height

252 = (2x + 1) × (x + 3) × (x)

252 = (2x^2 + x) × (x + 3)

252 = 2x^3 + 6x^2 + x^2 + 3x

2x^3 + 7x^2 + 3x = 252

2x^3 + 7x^2 + 3x - 252 = 0

after solving this

x = 4

So height be 4 in

length be 9 in

ANd, the width be 7 in

Answer:

(0, -3), (2, 1)

Step-by-step explanation:

Solve this by solving for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

y = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-3y + 14 + y = 12

Step 2: Solve for y

Answer:

= 1

Step-by-step explanation:

-3y+y+14=12

-2y = 12-14

-2y= -2        divide both sides by -2

y= 1

Answer: D or #4: None of the above

Step-by-step explanation: Since the longest angle is 13 x has to be around half because its a 47 degree angle if we round it would be 6 so D

Answer:

The graph for y=[tex]\sqrt{x}[/tex]+1 looks like this. Hope this helped you :D

Step-by-step explanation:

The required graph of y = √x + 1 is a curve that starts from the point (0,1) and rises continuously as x increases.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The equation y = √x + 1 represents a simple algebraic function in which the value of y is dependent on the value of x.

When we plot this function on a graph with x on the horizontal axis and y on the vertical axis, we get a curve that starts from the point (0,1) and continues upward as x increases.

At x=0, the value of y is 1. As x increases, the value of y increases as well, but at a slower rate because of the square root function. As x approaches infinity, the value of y also approaches infinity, but again at a slower rate than a linear function.

Since the domain of the function is all non-negative real numbers (x ≥ 0), the graph of the function exists only in the first quadrant of the coordinate plane.

Overall, the graph of y = √x + 1 is a curve that starts from the point (0,1) and rises continuously as x increases.

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Answer: No it can't

You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.

Hope this helped you!

Answer:

3.14

Step-by-step explanation:

it that simple

Answer:

Jessie sold x DVD's for $6 each and then sold a board game for $15. Jessie made at least $69 in her sales.

She sold 9 DVD's.

Step-by-step explanation:

69 - 15 = 54

54/6 = 9

Answer:

100

The directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it represents.

Someone please helpThe directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it represents.

Someone please helpThe directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it represents.

Someone please helpThe directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it represents.

Someone please helpThe directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it represents.

Someone please helpThe directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it represents.

Someone please help

Answer:

y=4

Step-by-step explanation:

58 +3y = 2 [(4y +5) + (3y +2)]

58 +3Y = 2 (14y +14)

58-14= 14y-3y

44=11y

44/11=11y/11

4=y