How do you work out the gradient of a line?

Answers

Answer 1

Step-by-step explanation:

The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 . To find the gradient of a curve, you must draw an accurate sketch of the curve.


Related Questions

The intersection of two streets forms a parallelogram. One street is 40 feet wide. The height of the parallelogram formed is 25 ft. What is the area of the intersection?

Answers

Answer:

1000 feet²

Step-by-step explanation:

Given that,

Width of a parallelogram is 40 feet

Height of the parallelogram is 25 feet

We need to find the area of the intersection that forms a parallelogram. The formula for the area of a parallelogram is given by :

A = base × height

A = 40 × 25

A = 1000 feet²

So, the area of the parallelogram is 1000 feet²

Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15

Answers

Step-by-step explanation:

Equation of a line is y = mx + b

where

m is the slope

b is the y intercept

First question

a.)

y = 3x - 4

Comparing with the general equation above

Slope / m = 3

The y intercept / b = - 4

Second question

b).

4x - 5y = 15

First we must write the equation in the general equation above by making y the subject

That's

5y = 4x - 15

Divide both sides by 5

That's

[tex] \frac{5y}{5} = \frac{4}{5} x - \frac{15}{5} [/tex]

We have

[tex]y = \frac{4}{5} x - 3[/tex]

Comparing with the general equation above

Slope = 4/5

Y intercept = - 3

Hope this helps you

Please help me with this!

Answers

A (-5, 6)
B (-5, 2)
C (-9, 2)
D (-9, 6)

As it is just a rotation around the origin by 180, you can just change the sign in front of the numbers :)

I need help with this math problem please

Answers

Answer:

65 -3x = 55 -2.5x20 periods$5

Step-by-step explanation:

The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...

  65 -3x

The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...

  55 -2.5x

The equation that can be used to find x that makes the values equal is ...

  65 -3x = 55 -2.5x

__

The solution can be found by adding 3x-55 to both sides of this equation.

  10 = 0.5x

Multiplying by 2 gives ...

  20 = x

After 20 30-day periods. the cards will have the same value.

__

The value after 20 periods is ...

  65 -3×20 = 65 -60 = 5

Both cards will have a value of $5 when they have the same value.

a line has a slope of 9 and includes the points (2,a) and (4,9.) What is the value of a? ​

Answers

Answer:

my guess would have to be a= -9   (negative nine)

Step-by-step explanation:

sorry, i tried solving the problem otherwise and couldn't get an answer, good luck



3. Burns has a bank account with a balance of $65.00. Burns paid $35.00 to
his credit card and he spends $40.00 for a hamburger. What would Burns's
bank balance be, after both debits were paid?

Answers

60 dollars

65+35=100

100-40=60

Brainliest?


Solve the equation.
t + 25 = 26

Answers

Answer: t = 1

Step-by-step explanation:

Subtract 25 on both sides. t = 1

The solution to the equation t + 25 = 26 is t = 1.

The given equation is,

t + 25 = 26

To solve this equation,

Isolate the variable t,

Which means we need to get rid of the 25 on the left side of the equation.

To do that, Subtract 25 from both sides of the equation,

since what we do to one side, we must do to the other to keep the equation balanced.

So,

t + 25 - 25 = 26 - 25.

Simplifying this, we have t = 1.

Therefore, the solution to the equation t + 25 = 26 is t = 1.

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What is the equation of the line that has a slope of -4 and goes through (-1,6)

Answers

Answer:

y = -4x + 2

Step-by-step explanation:

We know that the equation of slope is y = mx + bWe also know that the slope is -4 given in this problem So:y = -4x + bUsing the point (-1, 6), we can substitute this point into the above equation to solve for b. (6) = -4(-1) + b6 = 4 + bb = 2Therefore the equation of the line is y = -4x + 2

rewrite 1/4 books over 1/3 hour as a unit rate. A. 1 1/3 bookss/hour B. 1/12 books/hour C. 3/4 books/hour D. 12 books/hour

Answers

Answer:

The Answer would be option C. 3/4 books per hour

Step-by-step explanation:

You would flip 1/3 to 3/1 which makes it a whole number. then multiply

1/4 and 3.

Therefore your answer is 3/4

I hope this helped you,

What effect does decreasing the temperature of a room have on a lifespan of a battery?


Which variable is highlighted in red, bolded tex?

Answers

This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.

What effect does decreasing the temperature of a room have on a lifespan of a battery?

Which variable is highlighted in red, bolded tex?  

a . Independent

b . Dependent

c . Control

d . None

But the answer to both the independent and dependent variables will be provided and explained in detail.

Answer:

Independent variable: decrease in temperature

Dependent variable: lifespan of battery

 Step-by-step explanation:

The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.

In the given example, a decrease in temperature  is the dependent variable as it is changing and the lifespan of battery  is the dependent variable as it is responding to the independent variable ?9decrease in temperature).

Ratio of wins to losses in 42 games with 35 wins.

Answers

oh wait no nvm sorry i got t wrong im so sorry dont listen to me im trash

I NEED HELP ASAP PLEASEEEE
Evaluate the expression for w = 9.
2w − 2 =

Answers

Answer:

2w-2=16

Step-by-step explanation:

w=9

2w-2

2(9)-2

18-2

16

Answer:

16

Step-by-step explanation:

When we have an expression and we are given the value of the variable, we can substitute inside the expression and find it’s value.

[tex]2w-2[/tex], we know [tex]w=9[/tex] so:

[tex](2\cdot 9) - 2[/tex]

[tex]2\cdot9=18[/tex]

[tex]18-2\\\\16[/tex]

Hope this helped!

An equation is shown below:

−2(4x − 1) − 7 = 5

Which statement shows a correct next step in solving the equation?

Answers

-2(4x-1)=5+7
(4x-1)=12/-2
4x=-6+1
x=-5/4

Answer:

Distribute -2 into (4x-1) to get rid of the parenthesis.

Step-by-step explanation:

The first thing you should to in solving for 'x'  is to get rid of the parentheses by distributing.

[tex]-2(4x-1)-7=5\\\\-8x-2-7=5[/tex]

Of course, you would also combine like terms to completely simplify the equation to solve for x.

[tex]-8x-9=5[/tex]

Hope this helps.

There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using decimal form that can be used to find the amount of years,y, it will take for there to be approximately 450 deer on the island.

Answers

I believe the equation would be
160+0.2y

Because 160 deer and you round the 20% into a decimal point.

9
Find the value of a*
(1 Point)
If the line y = 2ax + 3 is parallel to the line y = 4 - 6

Answers

Answer:

u can use desmos

Step-by-step explanation:

State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2

Answers

Answer:

  they are not inverses

Step-by-step explanation:

f(1) = 1/1 +3 = 1 +3 = 4

g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1

If the functions were inverses, we would have g(f(1)) = 1, which we do not.

The given functions  are not inverses.

_____

The same would be true if your functions were

  f(x) = 1/(x+3) and g(x) = 4/(x+2)

  f(1) = 1/(1+3) = 1/4

  g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1

i’m confused. someone pls help (+_+)

Answers

2. d - 2.5

4. 2n

6. 4(x + 1/2)

8. 2k + (s - 2)

10. 5(m / 2)

The temperature at 2:00 pm is 27 degrees at 2 :00 the temperature has fallen to -4 degrees what is the difference in temperature from 2:00 pm to 2:00 am ?

Answers

Answer:

31 degrees

Step-by-step explanation:

Difference in temperature from 2:00 pm to 2:00 am = 27 - (-4) = 27 + 4 = 31 degrees

A group of experimenters has 60 wasps in a large container and needs to assign 15 to each of four groups labeled A, B, C, and D for an experiment. They can capture the wasps one at a time when the wasps enter a side chamber in the container that is baited with food. Which of the following methods is most likely to result in four comparable groups of 15 wasps each? (4 points) a- Place each wasp in its own numbered container (numbered from 1−60) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D. b- Label the first 15 wasps caught as group A, the second 15 caught as group B, the third 15 caught as group C, and the fourth 15 caught as group D. c- Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Assign the remaining wasps to the remaining group. d- When each wasp is caught, roll a die. If the die shows an even number, the wasp is labeled A. If the die shows an odd number, the wasp is labeled B. When 15 wasps have been labeled A and 15 have been labeled B, split the remaining 30 wasps into groups C and D. e- When each wasp is caught, roll a die. If the die shows a 1 or 2, the wasp is labeled A. If the die shows a 3 or 4, the wasp is labeled B. If the die shows a 5 or 6, the wasp is labeled C. Repeat this process for 45 wasps. Assign the remaining 15 wasps to group D.

Answers

Answer:

The correct answer is:

a-

Place each wasp in its own numbered container (numbered from 160) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D.

Step-by-step explanation:

Each other answer is affected by the order in which wasps were caught, which may be due to a confounding variable.

(I also got this question right on my test :) Please rate this answer to help others. If you believe I am incorrect please rate 1 star so that others will know).

A brother and a sister want to split 300 dolars by the ratio of their age.How much money does each get if the brother is 14 and the sister is 11?​

Answers

Answer:

Brother: $168.00

Sister: $132.00

Step-by-step explanation:

14 + 11 = 25

300/25=12

Brother gets (12*14) $168.00

Sister gets (12*11) $132.00

which words name the shape ?

Answers

Answer:

D

Step-by-step explanation:

It's these shapes because:

Rectangle- A quadrilateral with 2 pairs of congruent sides and only 90° angles is a rectangle.

Parallelogram- A quadrilateral with 2 pairs of parallel sides is a parallelogram.

Answer:

The fourth one

Step-by-step explanation: The fourth one because a parallelogram has four sides that are equal which makes a parallelogram and the second thing is it's a rectangle.

What is the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction?
(A) 1/4
(B) 2
(C) 3 1/3
(D) 4

Answers

Answer:

The correct answer is (D) 4

Step-by-step explanation:

Hopes this helps!

Answer:

(D) 4

Step-by-step explanation:

6/7

÷

3/14

=  

6/7

×

14/3

=  

6 × 14

7 × 3

=  

84/21

=  

84 ÷ 21

21 ÷ 21

=  4

2x+4=8x-2 i don’t know

Answers

Answer:

x = 1

Step-by-step explanation:

2x+4=8x-2

2x - 8x = -4 -2

-6x = -6

x = 1

Steps to solve:

2x + 4 = 8x - 2

~Subtract 4 to both sides

2x = 8x - 6

~Subtract 8x to both sides

-6x = -6

~Divide -6 to both sides

x = 1

Best of Luck!

4x plus 1 divided by 3 equals x minus 5 divided 2

Answers

4x+1/3 = x-5/2

2(4x+1) = 3(x-5)

8x+2 = 3x-15

8x-3x = -2-15

5x = -17

x = -17/5 (Fraction form) x = -3.4

In fraction form the answer is X equals to negative 17 divided by 5 (x = -17/5)

In decimal form the answer is X equals to negative 3 point 4 (x = -3.4)

After solving the equation, the value obtained for x will be equal to -17/5.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given statement in the question,

The equation for the given statement will be,

(4x + 1)/3 = (x - 5)/2

8x + 2 = 3x - 15

8x - 3x = -15 - 2

Solve the equation for x.

5x = -17

x = -17/5

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a woman buys a plot of land of area 0.36hectares she pays $8.50 per square meter for the land what is it's total cost​

Answers

Answer:

$30,600

Step-by-step explanation:

1 hectare = 10,000 [tex]m^2[/tex]

0.36 hectare = 0.36 * 10000 [tex]m^2[/tex] = 3600 [tex]m^2[/tex]

She pays $8.50 per square meter. Thus, the total cost is:

[tex]3600 * 8.50 = \$30,600[/tex]

Answer: $30,600

Given A (-3,5) and B (6,7) find AB

Answers

Answer:2/9

Step-by-step explanation:

AB=[tex]\frac{7-5}{6+3}[/tex]

    =[tex]\frac{2}{9}[/tex]

2p +5q = 21
3p-2q=-16

Answers

Answer:

p =− 2

q = 5

Step-by-step explanation:

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

p =− 2

q = 5

Answer:

q = 5

p = -2

Step-by-step explanation:

I'm gonna use elimination

2p + 5q = 21  Multiply 3 ------> 6p +15q = 63

3p - 2q = -16  Multiply 2 -------> 6p -4q = -32

 6p +15q = 63

 6p -4q = -32                                                                                                                  -__________

19q = 95

q = 5

To find P use any of the equations and substitute q to 5

3p -2(5) = -16

3p -10 = -16

3p = -6

p = -2


Find the lowest common multiple (LCM) of 30 and 42

Answers

Answer:

2-30,42

3-15,21

5-5,7

7-1,7

-1,1

LCM of 30 and 42 is 210

Answer:

210

Step-by-step explanation:

30*42 by HCF of 30,42

1260 by 6 =210

this is integrated math2, help plzzzz. i’m so lost idk what this is:/

Answers

I remember doing the last question.

If you recall, x = 29

Just plug 29 into x for each angle

A = 3(29) = 87

B = 2(29) + 1 = 59

C = 29 + 5 = 34

Answer:

The value of angle C is 34°

Step-by-step explanation:

2x+1°+x+5°+3x° = 180° { the sum of angle of triangle is 180°}

or, 6x + 6° = 180°

or, 6x = 180° - 6°

or, x = 174°/6

or, x = 29°

now,

value of angle C = x+5°

= 29°+5°

= 34°

How can I Solve this ?

Answers

Angle SMA is 24 degrees
I can help just give me a sec ill send you the answer in messages
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