The points (0, -1) and (4,5) lie on the straight line L

Work out the gradient of L.​

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Calculate the gradient m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (4, 5)

m = [tex]\frac{5+1}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]


Related Questions

Graph the line.
y=3x-7

Answers

Step-by-step explanation:

so the -7 means that the line will cross the y-axis at the point (0,-7). from there, we knows the slope is 3. slope is rise over run, so 3 over 1. we go up 3 and over 1

What is the value of the function at x = 3? Enter your answer in the box.

Answers

Answer:

4

Step-by-step explanation:

When x is 3, y is 4

To do this, go to the right 3 units and go up until the line intersects with a grid point

At three, y is 4

Answer:

4

Step-by-step explanation:

i took the test

steve saw 313 birds during a bird-watching trip to Yellowstone National park.he observes 15 more trumpeter swans then sand hill cranes.he saw twice as many mountain chickadees as ducky grouses.how many birds of each type did steve observe if he saw half as many trumpeter swans as ducky grouses

I need this ASAP

Answers

Answer:

82 ducky grouses, 41 trumpeter swans, 26 sand hill cranes, 164 chikadees

Step-by-step explanation:

Solve x4 - 34x2 = -225

Answers

Answer:

x= -5,5 and -3,3

1-2 Write an equation for each situation.
1. A bookstore ordered boxes of pencils for resale. The cost of the pencils was
$2.25 per box, and the shipping cost of the order was $2.80.

Answers

Answer:

y = 2.25x + 2.80

Explanation:

$2.25 dollars per box.

$2.80 Shipping is always added.

a force of 10 newtons acts in a direction 75 above horizontal moving an object 15 meters from (0,0) to (15,0). What is the work done by the force?
a. 2.59 joules
b. 3.88 joules
c. 38.82 joules
d. 150.00 joules

Answers

Answer:

150 Joules

Step-by-step explanation:

Step one:

Given data

Force F= 10N

the distance is described by the coordinate =  (0,0) to (15,0)

hence the distance = 15m in the x-direction.

Step two:

Required is the work done

we know that work done is expressed as

Wd= Force* Distance

Wd= 10*15

Wd= 150 Joules

Answer:

38.82

Step-by-step explanation:

HELP I WILL GIVEBRAINLIST! FALSE ANSWERS OR SPAM WILL BE REPORTED!!!!1
What do the differences between the points (as shown on the graph) represent? On a coordinate plane, point B is at (2, 7) and point D is at (4, 14). StartFraction 7 over 2 EndFraction is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph. StartFraction 2 over 7 EndFraction is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph. StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1. StartFraction 2 over 7 EndFraction can be used to find the unit rate if one divides 2 by 7 and compares the result to 1.

Answers

Answer:

StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

we have the points

B(2, 7) and D(4, 14)

substitute the values

The unit rate is

therefore

StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1

Step-by-step explanation:

Answer:

StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

we have the points

B(2, 7) and D(4, 14)

substitute the values

The unit rate is

therefore

StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1

Follow my Pinterest 13jadyn13

Answers

Maybe for a Brainliest

Answer:

okay first you follow me on Pinterest

then I'll flw you back

good night

What is 0 divided by 0

Answers

..............0................

Answer:

0

Step-by-step explanation:

You can’t divided 0 by 0 so it’s 0

what does 4(3+2x) equal

Answers

Answer: 12+8x

Step-by-step explanation:

1) 4(3+2x)- Distribute the 4

4x3+4x2x t get 12+8x

There are 2.54 centimeters in 1 inch. There are 100 inches in 1 meter. How many meter are in 158 inches?

Answers

Answer:

1.58 meters

Step-by-step explanation:

Please solve!! Thank you :)

Answers

Answer:

5x-1+3x+4+x+11x-21

24x-18=0

24x=18

x=3/4

AB=3/4

BC=3/4

AD=2.25 or 2 1/4

Step-by-step explanation:

IDK if it is right plz let me know if it is

What is the roots of f(x)=-x^2-6x-14

Answers

Answer:

[tex]x=-3\pm i \sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Algebra II

Imaginary roots: √-1 = i

Step-by-step explanation:

Step 1: Define function

f(x) = -x² - 6x - 14

Step 2: Set up

Set equation equal to 0:                    -x² - 6x - 14 = 0Factor out -1:                                       -(x² + 6x + 14) = 0Divide both sides by -1:                      x² + 6x + 14 = 0

Step 3: Define variables

a = 1

b = 6

c = 14

Step 4: Find roots

Substitute:                              [tex]x=\frac{-6\pm\sqrt{6^2-4(1)(14)} }{2(1)}[/tex]Exponents:                             [tex]x=\frac{-6\pm\sqrt{36-4(1)(14)} }{2(1)}[/tex]Multiply:                                  [tex]x=\frac{-6\pm\sqrt{36-56} }{2}[/tex]Subtract:                                 [tex]x=\frac{-6\pm\sqrt{-20} }{2}[/tex]Factor:                                    [tex]x=\frac{-6\pm\sqrt{-1} \sqrt{20} }{2}[/tex]Simplify:                                  [tex]x=\frac{-6\pm2i \sqrt{5} }{2}[/tex]Factor:                                    [tex]x=\frac{2(-3\pm i \sqrt{5} )}{2}[/tex]Divide:                                    [tex]x=-3\pm i \sqrt{5}[/tex]

Help! What is the solution to the system shown below?

Answers

Answer:

3,-2

Step-by-step explanation:

the solution set is the point where the two lines intercept. in this case it's 3,-2



The ratio of dogs to cats at a pet store is 3:4 Which of these shows the
possible numbers of dogs and cats in the pet store?

Answers

Answer:

Step-by-step explanation:

6/8

12/16

24/32

Those are some samples. You have to give us choices.

he difference of two numbers is 841. The smaller of the numbers is 471. What is the other number?

Answers

Answer:

The answer is 1,312

Step-by-step explanation:

Trust me its correct

pls mark me as brainliest

solve for p:
2(p+1)=5(3p+7)

Please help!! I got to the last part of the equation and now I'm lost.

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

p = −33/13

Decimal Form:

p = −2.¯538461 (terminating)

Mixed Number Form:

p = −2/7/13

pls tell me someone knows they answer .. I mark brainliest

Answers

Answer:

The Maya were among the first people to use cacao seeds to make chocolate

Explanation:

The maya were one of the first people to use cacao to make chocolate. They would roast and crush the beans into paste. The often combined the paste with water.

When the Maya discovered that they could use cacao by crushing the pods, adding water and chili peppers they were so amazed by the taste that they called it the drink of the gods. Even today traditional hot chocolate in those areas is made with chili peppers and this way is regarded as one of the best ways of preparing the drink.

How would you do this and how would you graph it on a number line

Answers

Answer:

k=-5,5

Step-by-step explanation:

first you calculate (by switching  the -6 to the other side)

|k|<-1+6

second you add the -1+6 and get |k|<5

the other part will be that the |k| will turn to - negative.

now you will have -k<5 then not you have to take the negative of -k to only have, (k<-5), k equalling to -5.

But remeber you always flip the < to > when you have the greater-to-equal sign or less-to-equal sign.

NEED HELP ASAP
Amy incorrectly says that this product is 15/77. What is the correct​ product? What was Amy​'s likely​ error?

Answers

Answer:

likely error she made was saying 77 divided by 15

Simplify these expressions:
1. 2x + 8x
2. (5y) - 10y
3. W + 14w - 6w
4. 4x - 5x -6

Answers

Answer:

Theyre out of order.

Step-by-step explanation:

What is the volume of material he must purchase?

2 ft3
4 ft3
6 ft3
8 ft3

Answers

Answer:

In this problem, we use the formula for volume which is:  

volume=(length*width*height)/3

Since the base of the triangle is a square, we simply know that the length and width is equal.

L = W = 2 ft

H = 6 ft

Solution:

V = (2*2*6)/3V = 8 ft^3

The correct answer is 8 ft^3

Hope this helps.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

trust me bro.

Given:
Prove:
Answer ASAP, please!:)

Answers

Answer:

Whats the question. I think I can help if there is a picture or if there are more words

The length of a rectangle is four times its width.
If the area of the rectangle is 144 ft, find its perimeter.

Answers

Answer:

y = mx + c

since m = 0

c = 9

Answer: 60

suppose: the width of a rectangle is x (x > 0)

⇒ The length of a rectangle is 4x

because  the area of the rectangle is 144 ft

=> 4x.x = 144

⇔ x² = 144/4 = 36

⇒ x = 6

with x = 6 ⇒ The length of a rectangle is 4.6 = 24

the perimeter of the rectangle is (6 + 24).2 = 60

Step-by-step explanation:

John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p) in the novel. Find the total number of pages in the novel.

Answers

Answer:

The novel has 117 pages

Step-by-step explanation:

Let  p  be the pages in the novel

p − 3 = 114

p = 117

Answer:

351

Step-by-step explanation:

114 = p/3 - 3

p/3 = 117

p = 351 page

Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (^o^)

Please help me with this problem

Answers

Answer: 66 degrees

Let's solve your equation step-by-step.

7x+3+x+55=14x−5+x

Step 1: Simplify both sides of the equation.

7x+3+x+55=14x−5+x

7x+3+x+55=14x+−5+x

(7x+x)+(3+55)=(14x+x)+(−5)(Combine Like Terms)

8x+58=15x+−5

8x+58=15x−5

Step 2: Subtract 15x from both sides.

8x+58−15x=15x−5−15x

−7x+58=−5

Step 3: Subtract 58 from both sides.

−7x+58−58=−5−58

−7x=−63

Step 4: Divide both sides by -7.

−7x

−7

=

−63

−7

x=9

7(9) + 3

63 +3

<U = 66

Taking the square root is the blank of squaring the number

Answers

Answer:

Step-by-step explanation:

opposite

Alunch bill cost $72. If you leave your server a 20% tip how much will you be leaving as the tip?

Answers

Answer: $14.4

Step-by-step explanation:

To calculate the tip, you need to multiply the bill times .2. So 72x .2 = 14.4

write an equation of the perpendicular bisector of the line segment with coordinates A (4,6) and B ( 8,10)

Answers

Answer:

[tex]\sqrt{x}[/tex]

Step-by-step explanation:

blah blah blah blah blah i'm fifth grade not highschool bye still give me my point

Consider the line y=-2/5x+7
Find the equation of the line that is parallel to this line and passes through the point (-4, 4).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 4).
Equation of parallel line:
Equation of perpendicular line:

Answers

Answer:

Paraellel: y=-2/5x+12/5

Perpendicular: y=5/2x+14

Step-by-step explanation:

hope this helps <3

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