Write an equation in slope-intercept form: (1,6) and (2,3) are on the line

Answers

Answer 1

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]

Substitute x = 1 and y = 6 into equation,

[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]

Therefore substituting m and c value, equation of line is

[tex]y = - 3x + 9[/tex]


Related Questions

Need the answer asap !

Answers

Note: This question needs practical measurements so I am going to use my clock at home. Otherwise, you can measure the clock at your house and work out.

the diameter of the clock= 30 cm

the radius of the clock= 15 cm

(a) the area of the clock is

[tex]\pi r^{2} = 3.14 \times 15^{2} = 706.5 \: cm^{2} [/tex]

(b) The length of the minute hand covered in one hour is equal to the circumference of the clock.

The circumference of the clock is

[tex]2\pi \times radius = 2 \times 3.14 \times 15 = 94.2 \: cm[/tex]

[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.​

Answers

Answer:

Isosceles right triangle.

Step-by-step explanation:

From the given triangle ABM,

AM ≅ MB [Given]

∠AMB is an angle subtended by the diameter AB.

By theorem, angle subtended by a diameter is always 90°.

m∠AMB = 90°

So the given triangle is a right triangle with two equal sides AM and MB.

Therefore, ΔAMB is an isosceles right triangle.

10. Tim bought two copies of the same hardcover book and three
copies of the same paperback book cost $118. Sally bought three of
the hardcover books and two of the paperback books for $137. Find
the cost for each type of book.

Answers

Answer:

Let hardcover book be x

Let paperback book be y

2x+3y=$118....Equation 1

3x+2y=$137.... Equation 2

Solve for x and y using simultaneous equation

Using elimination method

2x+3y=118......×3

3x+2y=137......×2

6x+9y=354

6x+4y=274

9y-4y=80

5y=80

y=80÷5=16

substituting y=16 into equation 1

2x+3(16)=118

2x+48=118

2x=70

x=70÷2=35

Therefore hardcover costs $35 each

paperback cover costs $16 each

Students took a poll that asked whether or not they watch television in the evenings and whether or not they have homework on those same evenings. The two-way table below shows the results of the poll.

Homework No Homework Total
TV 6 12 18
No TV 9 3 12
Total 15 15 30

Calculate the relative frequency of the data to determine which association the two-way table suggests.
A.
Students who watch television in the evenings tend to have homework.

B.
None of the associations listed are correct.

C.
Students who watch television in the evenings tend not to have any homework.

D.
Students who do not watch television in the evenings tend not to have any homework.

Answers

Answer:

Students who watch television in the evenings tend not to have any homework is the association suggested by the two-way table.

Step-by-step explanation:

Of the students who watch television, 33% have homework, and 67% do not have homework.

So, students who watch television in the evening tend not to have homework.

Of the students who do not watch television, 75% have homework, and 25% do not have homework.

So, students who do not watch television in the evenings tend to have homework.

I just had the question on Study Island!

Answer:

Students who watch television in the evenings tend not to have any homework.

Step-by-step explanation:

Have a good day :)

what valie of x makes the equation true​

Answers

Answer:

x = 1.25

Step-by-step explanation:

-3x+10 = 5x-8

+3x        +3x

10 = 8x - 8

+8           +8

18 = 8x

x = 18/8

x = 1 1/4 = 1.25  

what attendance at a basketball game will produce about 125 containers to be recycled

Answers

Answer:

About 250 attendance

Step-by-step explanation:

Answer:

The attendance of 250

Step-by-step explanation:

You would see where the 125 containers is on the left is and then you would just go right from there until you hit a meeting point on the straight line which would be at 250

Please answer the following:

Answers

Answer:

Conner's work is correct

Jana's work is incorrect

Step-by-step explanation:

Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.

Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.

Need a bit of help, please. :D

Answers

Answer:

c.

Step-by-step explanation:

Please note that the angle A and B are somewhat close to 45deg, so we expect AC and BC to be close in length.

We can drop answer a on that basis.

We can also drop abswer d on the basis that AC is longer than AB there and that cannot be the case in a right triangle.

We can verify that for both b and c the Pythagoras theorem holds, so we need to choose the answer that fits the angles A and B. Te can check the tan of the angle to get the ratio between BC and AC.

tan(48.8deg) ~= 1.1423

1.6/1.4 ~= 1.1429; close enough.

So we choose answer c.


Find the measure of the angle

Answers

Answer:

27

Step-by-step explanation:

The triangle shown is an isoceles triangle. This means that there are two congruent base angles and a vertex angle. In this case, angle X and angle Y are the base angles, so we can set up an equation to first find the value of t.

5t - 13 = 3t + 3

2t - 13 = 3              (Subtract 3t from both sides)

2t = 16                   (Add 13 to both sides)

t = 8                      (Divide both sides by 2)

Now that we have the value of t, we can plug it back in to the expression for angle X to find its measure.

5(8) - 13

40 - 13

27

So, the measure of angle X is 27

Start time: 11:38 A.M.
Elapsed time: 3 hr 10 min
End time:

Answers

2:48 is the time ...

Without using a calculator, order the following numbers from least to greatest
10, Square root 78 ,9

Answers

The square root of 78 is a number which when multiplied by itself results in 78. The square root of 78 is denoted by √78. 78 can be expressed as 78 = 2 × 3 × 13. Hence, on simplifying square root of 78 is written as √78

so the least number is root 78 , 9 , 10

What is y=23x*45-7x+678 equal SHOW YOUR WORK (ONLY ANSWER IF UR AN ACE OR SYDNEETEAL) IF U DON'T KNOW DON'T ANSWER

i am marking brainliest for RIGHT answer

Answers

Answer:

x= [tex]\frac{1}{1028} y[/tex]+[tex]\frac{-339}{514}[/tex]

Step-by-step explanation:

let's solve for x.

y=23x(45)−7x+678

step 1: flip the equation.

1028x+678=y

step 2: add -678 to both sides.

1028x+678+−678=y+−678

1028x=y−678

step 3: divide both sides by 1028.

1028x/1028=y-678/1028

x=1/028 y+-339/514

answer- x= [tex]\frac{1}{1028} y[/tex]+[tex]\frac{-339}{514}[/tex]

good luck :)

have a great day !!

 

Tom spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 15 dollars?

Answers

Answer:

Tom's weekly allowance is $16.

Step-by-step explanation:

With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:

$15-$7=$8

Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:

$8*2=$16

According to this,the answer is that Tom's weekly allowance is $16.

What is the slope of the line that passes through the points (25, 50) and (80, 110)?


PLs HELP I WILL DO ANYTHING

Answers

Answer:

12/11

Step-by-step explanation:

the formula to find the slope of a line is:

where  is the slope and  and  are the points where the line passes.

in this case we have that the first point is: (25,50)  thus⇒  and

and the second point: (80,110) thus ⇒  and

substituting this values into the formula for the slope:

the slope of the line is 12/11

Which box and whisker plot represents this data: 6,7,8,10,18,20,22,25,28,28,30,30?

Answers

Answer:

its the last one D

Step-by-step explanation:

The median is 22 and the rest dont have that as the median

please help with this vocab will mark brainliest​

Answers

Answer:

1. Semicircle

2. Arc Length

3. Minor arc

4. Arc Measure

5. Circumference

6. Diameter

7. Radius

An ice cream shop sells 700 cones per day at a price of $4.50. A survey lets the owner know
that for every decrease in price of $0.50, they will be able to sell 100 extra cones. Write an
equation for the Revenue, R, which can be used to determine how much the owners should
charge in order to maximize their revenue.​

Answers

Answer:

R(x) = (4.50 – 0.50x)(700 + 100x)

___________________________

R(x) is in factored form

Where x is each decrease in the price.

____________________________

Explanation:

R(x) is in the form ax² + bx + c.

This is where the equation is distributed and simplified [Standard form]

The maximum revenue is represented by

R(-b/2a), where the vertex of this relationship is, at x = -b/2a.

Revenue = (Price)(Quantity)

____________________________

R(x) = (4.50 – 0.50x)(700 + 100x) →

-50x² + 100x + 3150 [ax² + bx + c].

x = -b/2a

x = -(100)/2(-50)

x = -100 / -100

x = 100 / 100

x = 1

Therefore R(1) or where the price is decreased by a factor of 1 is the maximum revenue.

R(2) = -50(1)² + 100(1) + 3150

R(2) = -50(1) + 100 + 3150

R(2) = -50 + 100 + 3150

R(2) = 3200.

_______________________________

Thus the best revenue ($3,200) is obtained by decreasing the price once (Price of 4$), with 800 cones.

solve for the right triangle

Answers

Answer:

its a little blurry

Step-by-step explanation:

What are the answers to all the questions? Make sure to show your work and the check.

Answers

1. 34c = 68

Divide both sides by 34

C = 68/34

C = 2

2. D - 1/2 = 3/4

Add 1/2 to both sides

D = 3/4 + 1/2

D = 1 1/4

3. E + 52.5 = 81

Subtract 52.5 from both sides

E =81-52.5

E = 28.5

4. 18 = f/0.3

Multiply both sides by 0.3

F = 18 x 0.3

F = 5.4

What is the length of the missing leg?​

Answers

Answer:

15 ft

Step-by-step explanation:

The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter

b) Calculate the dimensions of the square.

Answers

Answer:

Step-by-step explanation:

Square is x meters on each side.

Area of square = x²

Width of rectangle = x+1

Length of rectangle = x+4

Area of rectangle = (x+1)(x+4) = x²+5x+4

Combined area = 2x²+5x+4 = 33

2x²+5x-29 = 0

x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4

Apply the distributive property to create an equivalent expression. 1/2 ( 10 x + 20 y + 10 z )=

Answers

Answer:

5x+10y+5z

Step-by-step explanation:

Distributive Property means you multiply each component by the value you are distributing in this case: (1/2)(10x) + (1/2)(20y) + (1/2)(10z) which will yield 5x+10y+5z

For a Valentine's Day party at his school, Kenneth is cutting ribbons to tie around boxes of candy. Each box of candy needs 1 2 of a foot of ribbon. Kenneth has 15 feet of ribbon in all. How many boxes of candy can Kenneth tie with a ribbon? Write your answer as a fraction or a whole number. pls i need help

Answers

Answer:

30 boxes

Step-by-step explanation:

if that is a 1/2,

then he needs half for each box

he has 15 feet's of ribbon

for every two boxes he needs 1 foot of ribbon

2×15=30

An IQ test is known to have an approximate normal distribution with mean 100 and standard deviation 15. Using the Empirical Rule, about what percentage of test takers will have an IQ score between 85 and 115?

Answers

Answer: 68%

Step-by-step explanation:

Empirical rule is basically using a bell curve along with mean and SD to find the center percentage. So take the mean right. 100 if you add 15 which is the SD you get 115 or 34.1% from 100 to 115. If you do the same thing but subtract this time 100-15=85 34.1% again from 85 to 100. So 85 to 115 is 34.1%+34.1%=68%

I would appreciate if you helped

Answers

Answer:

A -7

Step-by-step explanation:

the x intercept of a line means where it cross the x coordinate, which is -7

Answer:

a) -7

Step-by-step explanation:

(calculate the dots in the graph)

what is the gcf (greatest common factor) of 9/45​

Answers

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

9

GCF of 9 and 45 is 9

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

whats the area of this figure​

Answers

The answer to your problem is 341 km

Answer:

341km2

Step-by-step explanation:

7km*25km=175km2

8km*(11km+6km)=136km2

5km*6km=30km2

175km2+136km2+30km2=341km2

What is the quotient of 786 divided by 7 show work

Answers

Answer:

112.2857143 Or 112 with a remainder of 2

Step-by-step explanation:

 1 1 2

7 7 8 6

− 7    

 0 8  

−   7  

   1 6

 − 1 4

     2

Someone help me please ASAP

Answers

Answer:

false, should be left instead

Step-by-step explanation:

negative numbers on the left of zero, positive on the right

Answer:

False

Step-by-step explanation:

Negative numbers are to the left of zero (0) on a number line.

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|

|     type that in the box below

brainliest please

Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm

Answers

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

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