what is the gradient for the table x y
-6 -10
-3 -8
3 -4
6 -2

Answers

Answer 1

Solution :

Let, equation of line is y = mx + c .

Here, m is the slope( or gradient ) of the line and c is the y-intercept .

Putting point ( -6, -10 ) in above equation, we get :

-10 = -6m + c  ...1)

Also, putting point ( -3, -8 ) in above equation, we get :

-8 = -3m + c ...2)

Solving equation, 1) and 2) we get :

[tex]m = \dfrac{2}{3}\ and \ y = - 6[/tex]

Therefore, the gradient for the given x-y table is [tex]\dfrac{2}{3}[/tex] .


Related Questions

How would you graph the solution set of x/6 ≤ -18

Answers

Multiply both sides by 6 and you'll end up with x ≤ -108

The graph will involve a closed circle at -108 and shading to the left

See below.

We use a closed circle to include the endpoint -108 itself. If we didn't have the "or equal to" part, then we'd be using an open hole at the endpoint instead.

The shading to the left is to describe values smaller than -108. Overall, the entire thing consists of stuff smaller than -108 or -108 itself.

HELP ASAPPP PLSSS
solve the equation shown for y.
4(5 - y) = y - 25

Answers

Answer:

y=9

Step-by-step explanation:

4(5 - y) = y - 25

4•(5 - y) = y - 25

5y = 45

y = 9

the area of a circle is 100 square miles. What is the diameter?

Answers

Answer:

The diameter of a circle with an area of 100 square miles is 20/√π miles.

Step-by-step explanation:

Area =100 = πr^2.

diameter = d = 2r.

100 = πr^2.

100/π = r^2.

√(100/π) = r.

10/√π = r.

d = 2r.

d = 2 * 10/√π.

d = 20/√π

According to money exchange rate of Nepal Rastra Bank, the
purchase and selling rate of 1 U.S. dollar are NRs.103.72 and
NRs.104.32 respectively then,
i. How many American dollar can be exchanged withNRs.57, 376

Answers

Answer:

Purchase rate = 553.18 U.S dollar

Selling rate = 547.90 U.S dollars

Step-by-step explanation:

Purchase rate

1 U.S. dollar = NRs.103.72

Selling rate

1 U.S. dollar = NRs.104.32

How many American dollar can be exchanged withNRs.57, 376

Purchase rate

1 U.S. dollar = NRs.103.72

Amount of U.S. dollar = NRs.57, 376 / NRs.103.72

= 553.18164288468

Approximately

553.18 U.S dollar

Purchase rate = 553.18 U.S dollar

Selling rate

1 U.S. dollar = NRs.104.32

Amount of U.S. dollar = NRs.57, 376 / NRs. 104.32

= 547.89915966386

Approximately,

547.90 U.S dollars

Selling rate = 547.90 U.S dollars

Need help with this

Find each indicated measure for circle O

Answers

Answer:

Angle A = 41, Arc CE = 42, Angle C = 41, Angle D = 40, Angle ABE = 61

Step-by-step explanation:

Angle A = Arc BD/2  (Inscribed Angle)

Angle A = 82/2

Angle A = 41

Arc CE = 2 x Angle CEB (Inscribed Angle)

Arc CE = 2 x 21

Arc CE = 42

Angle C = Arc BD/2 (Inscribed Angle)

Angle C = 82/2

Angle C = 41

Angle D = Arc AC/2  (Inscribed Angle)

Angle D = 80/2

Angle D = 40

Angle ABE = Arc AE/2

Angle ABE = Arc AC + Arc CE/2

Angle ABE = 122/2

Angle ABE = 61

m < A =  [tex]39^{0}[/tex] , mCE =  [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]

What are angles in a circle ?

A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around.

a. m < A = [tex]\frac{1}{2}[/tex] mBD

= [tex]\frac{1}{2}[/tex] × [tex]78^{0}[/tex]

= [tex]39^{0}[/tex]

b. mCE = 2m < CBE

= 2 × [tex]20^{0}[/tex]

= [tex]40^{0}[/tex]

c. m < c = m < A = [tex]39^{0}[/tex]

d. m < D = [tex]\frac{1}{2}[/tex] mAC

= [tex]\frac{1}{2}[/tex] × [tex]74^{0}[/tex]

= [tex]37^{0}[/tex]

e. m < ABE = [tex]\frac{1}{2}[/tex] mAC + [tex]\frac{1}{2}[/tex] mCE

= [tex]37^{0}[/tex] + [tex]20^{0}[/tex]

= [tex]57^{0}[/tex]

Hence, m < A =  [tex]39^{0}[/tex] , mCE =  [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]

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*please help and explain how you got the answer!*

Answers

Answer:

0

Step-by-step explanation:

A= (4-1)^3

simplify A to be 3^3

Which gives us 27

B=(2*3)^2-9

simplify B

first multiply the 2 numbers in paranthesis which gives us 6. raise it to the power of 2 which is 39 and then subtract 9. Gives us 27.

C=15^3*4-12

Simplify the exponent first. 3*4 gives us 12 and 12-12 equals 0. Anything raised to the power of 0=1

If A-B^C is the equation we can write 27-27 raised to the power of 1 which is 0

Look at the diagram

QR is tanget to circle P at point Q

TR imtersects circle P at points T and S

What is the value of x?

Answers

Answer:

24

Step-by-step explanation:

18×(18+14) = x × (x + 0)

"+ 0" because it is a tangent at that point, there is no more line left going through the circle.

576 = x²

x = 24

what is a an expression that contains at least one variable

Answers

Answer:

An algebraic expression is a type of expression that contains a variable or variables.

an algebraic expression can contain multiple expressions

Jim orders prints from a website. The site charges him $6.95 a month and $0.04 for each print he orders.
Enter an equation that can be used to find the number of prints, P, Jim ordered last month if the website charged
him $17.79.
Enter the number of prints Jim ordered last month.

Answers

Answer:

271 prints.

Step-by-step explanation:

So to answer the question, we need to first write a formula to find the answer.

We know that the starting price per month is 6.95 dollars.

The full price is 17.79 dollars.

So we can start this off by writing:

17.79=6.95

Now, every time Jim prints, he charges 0.04 dollars. This will add to the orginal cost, which is 6.95. And remember this isnt a single payment, but a payment that varies depending on the amount of paper, p. So we can write this as:

17.79=6.95+0.04p

6.95 wont ever change, hense why it doesnt have a variable. 0.04 however, varies depending on the amount of paper, and thats why we included the variable p.

These two values combined make 17.79, hense why it is on the opposite side of the equals sign.

So, now we need to find how many papers, p, were printed.

To find this, lets just take our equation, and solve for P like an ordinary problem:

17.79=6.95+0.04p

So first off, lets subtract the 6.95 from both sides, because that iscolates the 0.04p, which contains the variable.

Now we have:

10.84=0.04p

Now, we could divide both sides by 0.04.

But remember, the whole point of doing this is to make 0.04p into 1p.

So another way of doing this is multiplying the 0.04 by 25, since 0.04*25=1.

So lets multiply both sides by 25:

10.84*25 is 271.

Since 10*25 is 250

And

.84*25 is 21.

So now we know:

271=1p

So 271 is your answer!

Hope this helps!

The equation that can be used to find the number of prints, p, is $17.79 = $6.95 + $0.04p and Jim ordered 271 prints last month.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We can write an equation to represent the total cost that Jim was charged by the website for last month's prints, p to represent the number of prints he ordered:

Total cost = Monthly fee + Cost per print x Number of prints

Using the values given in the problem:

$17.79 = $6.95 + $0.04p

To solve for p, one side of the equation. First, we can subtract $6.95 from both sides:

$10.84 = $0.04p

Then, we can divide both sides by $0.04:

p = 271

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HELP PLEASE

what is the base of this problem?

Answers

Answer:

8x8x8x8

Step-by-step explanation:

below dfghgfdshbtsb bhtsh

Answers

Answer:

The inverse is 5/(2-x)

Step-by-step explanation:

Firstly, let us represent the inverse as y

thus;

y = (2x+ 1)/x-4

y(x-4) = 2x + 1

xy - 4 = 2x + 1

2x - xy = -4-1

2x-xy = -5

x(2-y) = 5

x = 5/2-y

Now, switch the alphabets again

y = 5/(2-x)

Find the measure of angle K
K
N
M
17
27
63
36

Answers

9514 1404 393

Answer:

  (b)  27

Step-by-step explanation:

It appears as though we're to assume that KM is a diameter, through circle center point N. That makes triangle KLM a right triangle, so angle K is the complement of angle M.

  ∠K = 180° -63° = 27°

How to Solve: -5% < 100

Answers

Answhver:khglujlihluf

Step-by-step explanation:

I could use some help with this question?

Answers

Answer:

d

Step-by-step explanation:

if I divide the units of the scaled rectangle by the original you will get

[tex]18 \div 9 = 2 \\ 6 \div 3 = 2[/tex]

Answer:

C

Step-by-step explanation:

Area of the original one = 9 * 3 = 27 cm^2

Area of the scaled one = 18 * 6 = 108 cm^2

108 / 27 = 4

Help please!!!!!!!!!!!!!!

Answers

Answer:

452tan37=341km

nearest km

Step-by-step explanation:

please mark me brainliest


Need help ASAP. i forgot all the steps after the Area is solved with 5. or if 25pi is the right answer.

Answers

Answer:

[tex]42.5\:\mathrm{m^2}[/tex]

Step-by-step explanation:

The area of a sector with measure [tex]\theta[/tex] in degrees is given by [tex]r^2\pi\cdot\frac{\theta}{360}[/tex], where [tex]r[/tex] is the radius of the sector.

What we're given:

[tex]r[/tex] of 5 [tex]\theta[/tex] of [tex]195^{\circ}[/tex]

Solving, we get:

[tex]A_{sector}=5^2\pi\cdot \frac{195}{360}=13.5416666667\pi=42.5424005174\approx \boxed{42.5\:\mathrm{m^2}}[/tex]

*Notes:

units should be in square meters (area) the problem does not say whether to round or leave answers in term of pi, so you may need to adjust the answer depending on what your teacher specifically wants

If y − 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?


(Thanks in advance)

Answers

Answer:

The first chocie  (0,3), (1,6), (2,9)

Step-by-step explanation:

Just plug each point into the equation and see if it is correct.

y-3 = 3x

for (0,3) -->   3-3=3(0) -->0 = 0   true

for (1,6) -->  6-3 = 3(1) -->   3=3   true

fpr (2,9) -->9-3 = 3(2) -->  6=6   true

write an equation in slope intercept form given m: m=-3/5 and b=-3

Answers

Step-by-step explanation:

Y=kx+b

If m=1/k

Y=-5/3x+b

I don't know what your m means

So I can only write like this.

A side of the triangle below has been extended to form an exterior angle of 128°. Find the value of x.

the value of x.

Answers

Answer:

x = 104

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

24+x = 128

Subtract 24 from each side

24+x-24 =128 -24

x =104


A. Maximum point at (-3,2)
O B. Maximum point at (-2,3)
O C. Minimum point at (-2,3)
D. Minimum point at (-3,2)

Answers

answer:
B. maximum point at (-2,3)

explanation:

find the ratio of the perimeter of two similar trapezoids with area 49cm^2 and 9cm^2

Answers

Answer:

3260 is the ratio of two similar trapizoids

Answer:

7:3

Step-by-step explanation:

(Ratio of perimeter)^2 = ratio of area.

Therefore

ratio of perimeter = sqrt(ratio of area) = sqrt(49/9) = 7/3

Help



Will





Give






Brainlist



:-))) my

Answers

1 1/98

Ayan po thanks me laterr

Answer:

a

Step-by-step explanation:

1. 1 1/99 miles per hour

> In the diagram below, AC = 4, AB = 6 and BC = 8. Is segment AB tangent to OC.​

Answers

9514 1404 393

Answer:

  No

Step-by-step explanation:

The ratios of triangle side lengths are ...

  4 : 6 : 8 = 2 : 3 : 4

This is an arithmetic progression.

The only arithmetic progression of side lengths that makes a right triangle is ...

  3 : 4 : 5

The triangle is not a right triangle, so AB is not a tangent.

Over ten years, the population of fish in a lake increases by 3%. After the increase, there are 10,094 fish. Which expressions are equivalent to the number of fish ten years before? Select all that apply.

Answers

Answer:

9800 Fish

Step-by-step explanation:

According to The question,

Given, the population of fish in a lake increases by 3% for over ten years, after the increase there are 10094 fish .

The number of fish ten years before is [tex]10094 * \frac{100}{103}[/tex] ⇔ 9800 fish

Answer:

9800 Fish

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

Radius

Step-by-step explanation:

Any segment with one endpoint at the center of the circle and the other endpoint on the circle is the radius. This information is very important, because when you want to find the area of a circle you multiply the radius by itself twice then multiply that by pi. The diameter (second option) is a segment where one endpoint is on the circle and the other endpoint is on the other side of the circle. The diameter is twice the radius. Good luck!

Out of 200 students in a school, 30 have brown sandals. What is the probability that a student chosen at random would have brown sandals?

Answers

Answer:

There is a 15% chance a student chosen at random would have brown sandals.

Step-by-step explanation:

The required probability will be 0.15 that a student chosen at random would have brown sandals.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

the probability = number of favorable outcomes /  total number of outcomes.

We have been given that out of 200 students in a school, 30 have brown sandals.

To determine the probability that a student chosen at random would have brown sandals.

The probability = number of favorable outcomes /  total number of outcomes.

The probability = 30 / 200

The probability = 0.15

Thus, the required probability will be 0.15 that a student chosen at random would have brown sandals.

Learn more about the probability here:

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Identify the imaginary part of this complex number:
10 - 5i

Answers

Answer:

-5i is the imaginary portion

Step-by-step explanation:

a+bi

a is the real part  bi is the imaginary part

-5i is the imaginary portion

can you guys help me plz

Answers

Answer:

Step-by-step explanation:

x = 10sqrt(2)*cos(60) = 5sqrt(2) = 7.07 approx.

y = 10sqrt(2)*sin(60) = 10sqrt(2)*sqrt(3)/2 = 5sqrt(6)=12.25 approx.

54 seconds to 2 minutes ( ratio )

Answers

Answer:

54:2 = 27:1

Step-by-step explanation:

54:2 use as fraction 54/2 then divide

What is x? Please help quickly!

Answers

Answer:

27 1/3

Step-by-step explanation:

Since both angles form a straight line of 180, you can set your formula up as

180=4x+2x+16

180-16=6x

164=6x

164/6=x

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