Write an equation that passes through the points (3, 6) and (1,-1)

Answers

Answer 1
Finding gradient:

m = y2 - y1
x2 - x1

= -1 - 6
1 - 3

= -7 / (-2)
= 7/2

y = m(x - x1) + y1
y = 7(x - 3) + 6
2
2y = 7x - 21 + 12
2y = 7x - 9
Answer 2

Answer:

y = 7/2x - 9/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 6 / 1 - 3

-7 / -2

7/2

y = 7/2x + b

-1 = 7/2(1) + b

-1 = 7/2 + b

-9/2 = b


Related Questions

Gabe went to the florida mall. He bought k model planes and spent 24 on books.Then he another 25 at another store

Answers

Answer:

[tex]Amount = 49 + 14.99k[/tex]

Step-by-step explanation:

Given

[tex]Books = 24[/tex]

[tex]Another\ Store = 25[/tex]

[tex]Model = k[/tex]

Cost of [tex]Model = 14.99[/tex] --- Missing from the question

Required

Represent the amount spent

The amount is calculated as:

[tex]Amount = Books + Another\ Store + Model * Cost[/tex]

[tex]Amount = 25 + 24 + k * 14.99[/tex]

[tex]Amount = 49 + 14.99k[/tex]

PLEASE PLEASE HELP ME! thank you so so much

explaining your answer = brainliest/five stars

The radius of a circle is 4 kilometers. What is the area of a sector bounded by a 135° arc?

give the exact answer in simplest form

Answers

Answer:

Step-by-step explanation:

(135/360)×π×4²

(135/360)×π×16

=6π

Will mark brainliest

Answers

Answer:

350

Step-by-step explanation:

Https://imgur.com/a/n3PRcMY

Answers

1: Those angles are equal. That means 3x + 10 = 5x - 10.
20 = 2x.
That means x = 10

2. Easy now that u have x. Angle 1 is 3x + 10, which means its 3(10) + 10 which is 40

Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?

Answers

Answer:

18 T-shirts

Step-by-step explanation:

$4×18= $72 $72+$34=$106

18 t shirts

106 - 34 = 72
72 / 4 = 18

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:

Answers

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

1: Set up the proportion:

[tex]\frac{9}{6} = \frac{x}{16}[/tex]

2: Use cross product:

[tex]9(16)=6x[/tex]

3: Simplify:

[tex]144 = 6x[/tex]

4: Divide:

[tex]144/6 = 6x/6[/tex]

[tex]24 = x[/tex]

[tex]x =24[/tex]

Answer: 4 cm

Step-by-step explanation:

2. Which relations are functions? Explain. For each graph, state the domain and range.

Answers

Answer:

A. and C. neither of them have a repeating y value if you input a vertical line on the graph

Help me please !!!!!!!!!!!

Answers

Answer:

option 1

Step-by-step explanation:

[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]

please help! ten points! thank you

Answers

I’m confused but probably 3 or 4

Pls I need help with this

Answers

Answer:

third side = 6

Step-by-step explanation:

third side is hypotenuse as it is opposite to 90 degree

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotense)^2

5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2

25 + 11 = hypotenuse^2

36 = hypotenuse^2

[tex]\sqrt{36}[/tex] = hypotenuse

6 = hypotenuse


[tex]50.705 \div 2.646[/tex]

Answers

Answer:

19.1628873772

Step-by-step explanation:

50.70500 ÷ 2.64600 = 19.1628873772

How many families in Oats Township have two or more cars?
100
4
1
2
400
200

Answers

Answer:

200

Step-by-step explanation:

Good luck <3

Answer:

200

Step-by-step explanation:

hope it helps

which of the following is equivalent to squareroot 8?

Answers

Answer:

2√2

Step-by-step explanation:

The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.

Based on the graph, what is the approximate number of bacteria after 16 hours?
6 bacteria
8 bacteria
60 bacteria
80 bacteria

Answers

Answer:

The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.

Step-by-step explanation:

---------------------------

Answer:

60 bacteria

Step-by-step explanation:

c on edge 2022

My best friend gave me an Bicycle for free and it is fire and so i want to give him something to what should i give him??

Answers

Answer:

Something that's in your budget.

hey what's the answer
Liliflim pls answer this if u know !
pls with full explanation ​

Answers

Answer:

I hope the above attachment helps you mate

Have a great day

[tex]#Liliflim[/tex]

Answer:

Solution given;

a⁴-23a²b²+b⁴

making in the form of a²+2ab+b²

a⁴+2a²b²+b⁴-2a²b²-23a²b²

(a²+b²)²-(5ab)²

factoring by using formula

x²-y²=(x+y)(x-y)

(a²+5ab+b²)(a²-5ab+b²)

If x=10 what is the value of 4(x-2)


A.48

B.32

C.38

D.8

Answers

Answer:

[tex]b. \: \: 32[/tex]

Step-by-step explanation:

[tex]4(x - 2)[/tex]

[tex]4(10 - 2)[/tex]

[tex]4(8)[/tex]

[tex]32[/tex]

Hope it is helpful...

Analyze the diagram below and complete the instructions that follow.

Find the exact value of tan(M).

Answers

Answer:  5/12  (choice C)

Explanation:

Recall that tangent = opposite/adjacent.

For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.

Answer:

C or 5/12

Step-by-step explanation:

The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie

Answers

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

the number of calls received by an office on Monday morning between 8:00am and 9:30 am has a mean of 3.Calculate the probability of getting no more than 3 calls between eight and nine in the morning.

Answers

Answer:

Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.

In mathematical terms,  

X

P

o

i

s

s

o

n

(

2

)

.

The PMF of the random variable X is given as,

P

(

X

=

x

)

=

e

2

×

2

x

x

!

f

o

r

x

=

0

,

1

,

2

,

.

.

.

.

.

=

0

E

l

s

e

w

h

e

r

e

The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,

P

(

X

3

)

=

P

(

X

=

0

)

+

P

(

X

=

1

)

+

P

(

X

=

2

)

+

P

(

X

=

3

)

=

e

2

×

2

0

0

!

+

e

2

×

2

1

1

!

+

e

2

×

2

2

2

!

+

e

2

×

2

3

3

!

=

0

.13534

+

0

.27067

+

0

.27067

+

0

.18045

=

0

.85712

Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:

9. Leonard made a deposit of $4,500 into a
savings account which earns 7% annual
compound interest. Assuming he makes no other
deposits or withdrawals, which of the following
shows the amount of interest his account should
earn after 15 years?

A. $12,415.64

B. $7, 915.64

C. $16,915.64

D. $8,115.64

(please help, it’s urgent) :)

Answers

Answer:

id say a

Step-by-step explanation:

The amount of interest his account should earn after 15 years is:

$7, 915.64.

Here, we have,

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days

Let, A= x

Now, x =$4,500(1+7/100×365)^(365×15)

     x=$12415.64

i.e.  final amount = $12415.64

so,  the amount of interest his account should earn after 15 years is:

$12415.64 - 4500 = $7, 915.64

Hence, the amount of interest his account should earn after 15 years is: $7, 915.64

To learn more on Compound interest click:

brainly.com/question/29335425

#SPJ2

Someone help me with this one

Answers

Answer:

p' (4,-2)

Step-by-step explanation:

P is at ( -1,5)

We are moving it 5 units to the right so add 5 to the x

We are moving it 7 units down so subtract 7 from the y

p'( -1+5, 5-7)

p' (4,-2)

State if the two triangles are congruent.

Answers

Answer:

The triangles are congruent  by HL

Step-by-step explanation:

The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent

We know one leg is equal to the other by the red line.  The hypotenuse is the same since it is the same line.

The triangles are congruent  by HL

A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
What is the shape of the cross-section?
square
rectangle that is not a square
triangle
parallelogram that is not a rectangle

Answers

Answer:

B

Step-by-step explanation:

a rectangle that is not a square

The plane will be rectangular which is not a square. Then the correct option is B.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.

Let a be the side length of the cube.

The length of the rectangular plane will be

L² = a² + a²

L = a√2

Then the dimension of the plane is 'a' and 'a√2' units.

The plane will be rectangular which is not a square. Then the correct option is B.

More about the rectangle link is given below.

https://brainly.com/question/10046743

#SPJ2

Sometimes you can use the distributive property to expand an expression.
You can expand - 3(5 - x) into the equivalent expression -15 + 3x. Show
you can use the distributive property to expand -4(-a+2) to get an
equivalent expression.
how

Answers

Given:

After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].

The given expression is [tex]-4(-a+2)[/tex].

To find:

The equivalent expression by using distributive property.

Solution:

According to the distributive property of multiplication over addition, if a, b, c are real values, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]-4(-a+2)[/tex]

Using distributive property of multiplication over addition, we get

[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]

[tex]-4(-a+2)=4a+(-8)[/tex]

[tex]-4(-a+2)=4a-8[/tex]

Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].

PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000

Step-by-step explanation:

9.22   = 9.2200

9.202 = 9.2020

9.8      = 9.8000

9.2211  = 9.2211

Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.

Arranging : 9.2200, 9.2020, 9.2211, 9.800

So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]

Arranging : 9.2020 , 9.2200, 9.2211, 9.8000

Now compare  the numbers in tenths , hundredths and thousandth place :

[220, 202, 800, 221 ]

Arranging : 9.202, 9.220, 9.221, 9.800

Now compare all the four numbers and arrange :

[ 2200, 2020 , 8000, 2211 ]

Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000

. The time of a clock as seen in a mirror is 3:15. The correct time is​

Answers

Answer:

3:15 cause a mirror cant change time

Step-by-step explanation:

go in ur mirror and look at the time did it somehow get darker or lighter???

Answer:

8:45 i think

Step-by-step explanation:

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

6.5 cm

17.4 cm

14.6 cm

9.4 cm

Answers

Answer:

6.5cm)

Step-by-step explanation:

13.1 cm x 13.1 cm = 171.61

11.4 cm 11.4 cm = 129.96

171.61 - 129.96 = 41.65

Find the square root of 41.65.

41.65 = 6.4536811201050 x 6.4536811201050

Round 6.4536811201050.

x = 6.5cm

Note:

Pls let me know if my answer is incorrect, for the other users that will see this response. Thx!

-kiniwih426

Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7. What is the scale factor of the dilation of triangle DEF?

Answers

Answer:  3/13

===============================================

Work Shown:

k = scale factor

k = (OF ')/(OF)

k = (OF ')/(OF ' + F ' F)

k = (3)/(3 + 10)

k = 3/13

The scale factor of the dilation of triangle DEF is 3/10.

What is Dilation?

The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.

We have a triangle DEF is dilated to smaller triangle D'E'F' .

As, the length of OF' =  3 and F'F = 7.

So, the scale factor of dilation is

OF' / OF = 3 / 10.

Thus, the scale factor is 3/10.

Learn more about Dilation here:

https://brainly.in/question/30389359

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Two containers, A and B begin with equal volumes of liquid.
120 ml is then poured from A to B.
А
B
Container B now contains 4 times as much liquid as A.
Find the volume of liquid left in container A at the end.
A
A
B.
B
Volume left in container A=
20
ml

Answers

Answer:

volume left in A is 80ml

Step-by-step explanation:

let original volume in both be x ml

after pouring from A to B

vol in A = x - 120

vol in B = x + 120

now it is given that

vol in B = 4 times vol in A

implies

[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]

hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml

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