Solve each. Show all necessary work.
8. Write the equation of the line in slope-intercept form that passes through (10.21) and (15.36)

Answers

Answer 1

Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using y2 - y1 / x2 - x1

36 - 21 = 15

15 - 10 = 5

15/5 = 3, so the slope (m) is 3.

Now, plug into point-slope form: y - y1 = m (x - x1)

y - 21 = 3 (x - 10)

Simplify

y - 21 = 3x - 30

y = 3x - 9

I hope this helps!!


Related Questions

Misha found that the equation –|2x – 10| – 1 = 2 had two possible solutions: x = 3.5 and x = –6.5. Which explains whether or not her solutions are correct? She is correct, because both solutions satisfy the equation. She is not correct, because she made a sign error. She is not correct, because there are no solutions. She is not correct, because there is only one solution: x = 3.5. help plz

Answers

Answer:

She is not correct, because there are no solutions

Step-by-step explanation:

–|2x – 10| – 1 = 2

Add 1 to each side

–|2x – 10|  = 3

Divide by -1

|2x – 10|  = -3

An absolute value is positive and it would have to equal -3

This cannot happen so there is no solution

Answer:

She is not correct, because there are no solutions

Step-by-step explanation: C

Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.

Answers

Answer:

Step-by-step explanation:

keep change flip

to thase who missed the other ones 4+5-6/7*8-7

Answers

Answer:

-6.67 im pretty sure

Step-by-step explanation:

4+5=9

9-6=3

3/7=0.43

0.43-7=-6.67

the calculator says sum else but like who cares right? lol

Answer:

-4 6/7

Step-by-step explanation:

4+5-6/7*8-7

Multiply and divide from left to right

4+5-48/7-7

Add and subtract from left to right

9 - 48/7 - 7

Rearrange the order

9-7-48/7

2 - 48/7

Get a common denominator

14/7-48/7

-34/7

-4 6/7

Brainliest? Use the elimination method to solve the system of equations.

Answers

Answer:

A

Step-by-step explanation:

x+y=7

x-y=3

Firstly get x on its own.

You do this by adding the equations together. -y + y=0 (ethey cancel out but x+x=2x and 7+3=10

from this it shows us 2x=10

Now het x on its own by dividing by 2

this leaves us with x=5

Now input this into any of the two equations and you will get y.

For example,

5+y=7

7-5=y

y=2

input this into the equations (x,y)

which leaves us with...

(5,2)

Find the surface area of the prism.

Answers

Answer:

78 square ft.

The answer is 75 ft

explanation

12ft x 2.5ft = 30ft

12ft x 2ft = 24ft

12ft x 1.5ft = 18ft

1.5ft x 2ft = 3ft

30 + 24 + 18 + 3 = 75

Draw the line with equation y=-12x+1

Answers

Answer:

See below

Step-by-step explanation:

I attached a picture of the graph below. It has a slope of -1/2 and a y intercept of 1. Hope this helps!

rational numbers are always sometimes never natural numbers​

Answers

Answer:

Rational numbers are sometimes natural numbers​

Step-by-step explanation:

8 is a Rational number and is natural too

1/2  is a Rational number and but is not natural

pls help for brainliest answer

Answers

Answer:

976 cm²

Step-by-step explanation:

25 x 10 x 2 = 500

14 x 10 = 140

14 x 24 = 336 ((14x24/2)x2)

500 + 140 + 336 = 976

Ruth bought metal rods that are each 3.8 centimeters long. If Ruth lines up 7 of them end-to-end, how long will the line be?

Answers

Answer:

26.6 Cm

Step-by-step explanation:

This is easy, just multiply 3.8 by 7.

3.8 x 7 = 26.6

I'm always happy to help :)

Use the figure below. Which angle is congruent to ∠ACB? A. ∠ABC B. ∠AED C. ∠ADE D. ∠DAE

Answers

Answer:Option B

<AED

Explanation:

B is the mid point of AD.( since AB=BD)

C is the mid point of AB( since AC=BC)

Therefore BC is parallel to DE.

Angle ACB= Angle AEB

Corresponding angles are equal.

And hence, they are congruent.

Hope it helps

Good luck on your assignment

The angle congruent to ∠ACB is B. ∠AED.

What are congruent angles?

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

Congruent Angles have the same angle (in degrees or radians).

Now from the given figure,

In triangle  ABC and triangle AED

AC = CB

BC is parallel to DE

Thus, by law of congruent angles, interior angles are equal,

Thus, ∠ACB = ∠AED

this is the required congruent angle of ∠ACB.

Thus, the angle congruent to ∠ACB is B. ∠AED.

To learn more about congruent angles:

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AOV is a right angle and the ratio AOB: BOC= 2:3 what is the size of angle BOC ?

Answers

A right angle = 90 degree
BOC = 3/5 of the right angle
= 3/5 x 90
= 54 degree

Which best describes the function?

Answers

Answer:

The last option on the list.

Step-by-step explanation:

You're making dessert but your recipe needs adjustment. Your chocolate chip cookie recipe makes 4 dozen cookies, but you need 3
1
dozen cookies. If the recipe requires 15 cups of butter, 5 teaspoons of baking powder, and 2 cups of pecans, how much of each of
these ingredients are necessary for 3 dozen cookies? Simplify your answer

Answers

Answer:

Butter = (3*15) / 4 = 45/4 = 11 1/4 tsp

Baking powder = (3*5) / 4 = 15/4

= 3 3/4 tsp

Pecans = (3 * 2) / 4 = 6/4

= 3/2 = 1.5 cups

Here, we are required to determine how much of each of these ingredients are necessary for 3 dozen cookies

The ingredients are;

11 and 1 quarter cups of butter is needed.3 and 3 quarters teaspoons of baking powder are needed.1 and a half cups of peacans are needed.

Therefore, for 3 dozen cookies; 3 quarters of the requirements for 4 dozen cookies;

Cups of butter needed = (3/4) × 15 = 11.25

Teaspoons of baking powder needed = (3/4)× 5 = 3.75

Cups of peacans needed = (3/4)× 2 = 1.5

Ultimately,

11 and 1 quarter cups of butter is needed.3 and 3 quarters teaspoons of baking powder are needed.1 and a half cups of peacans are needed.

Read more:

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Three more than the product of two and a number

Answers

Answer:

2x+3

Step-by-step explanation:

+3 " three more than"

2x " the product of two and a number"

2x+3 " three more than the product of two and a number"

Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30 . what is the measure of the third angle?

Answers

60 grades because the theorem that the sum of all interior angles in a triangle is equal to 180 grades

Answer:

180 that boy is soo wrong

Step-by-step explanation:

HELPPPP, giving brainlists The question, “How many ways can 4 different students be selected in order from a class of 30 students?”, is a(n) _____.

Answers

Answer:

³⁰C₄ = (30!)/(4!)(30-4)! = 27,405 WAYS

The total cost of a new calculator is $81.05. This price includes a 10% discount followed by a 6.5% sales tax. What was the original price of the calculator not including the tax or the discount?

Answers

Answer:

68.245

Step-by-step explanation:

total cost = $81.05

10% discount is 10/100× 81.05=8.105

substract 8.105 from 81.05= 72.945

with a 6.5% sales tax

6.5/100× 72.954 = 4.7

72.945-4.7= 68.245 the actual price

if am wrong let me know

A drawer contains a dozen each of red,blue,green,ad white socks,all unmatched.Laura takes socks out at random in the dark.How many socks must laura take to be sure she has 2 pairs of white socks

Answers

Answer:

40 socks

Step-by-step explanation:

There are 48 socks in total inside the drawer. 2 pairs of white socks means four white socks. The worst possible scenario (however unlikely it is) is that Laura takes all of the red, blue and green socks before picking any white sock. From that point on, Laura has to pick four more socks in order to have two white pairs. In this scenario, there are 8 socks left in the drawer, all white. Therefore, the minimum number of socks that Laura must take to be sure that she has two pairs of white socks is:

[tex]n=(12*4) - 8\\n=40\ socks[/tex]

She must take at least 40 socks.

A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero. It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero. It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero. It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Answers

Answer:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

Points:

(7, 10) and (7, 20)

Slope-intercept form:

y= mx+b

Slope is:

m= (y2-y1)/(x2-x1)= (20-10)/(7-7)= 10/0,

denominator of the fraction is zero, we can't divide by zero, so this line has no slope

----------

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

no, numerator is not zero

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

no, it has no slope

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

no, numerator is not zero

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

yes

Answer:

D.

Step-by-step explanation:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

edge 2020

Which expression is equivalent to 16^3?
a. 2^7
b. 2^11
c. 2^12
d. 2^64

Answers

Answer:

C.

Step-by-step explanation:

a. 2^7 = 128

b. 2^11 = 2048

c. 2^12 = 4096

d. 2^64 = 1.844674407 * 10^19

16^3 = 4096

State the negation of the following statement: It is cloudy.

Answers

Answer:

It is not cloudy.

Step-by-step explanation:

The negation is like the opposite of the statement. If you were to say something true, the negation of it would be false.

Answer: It is not cloudy.

Step-by-step explanation:

The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people

Answers

Not sure if you have any options for answers but 8x15=120 & 6x5=30 So you would have 15 square tables & 5 Round tables

Answer:

square table, round tables and 12

Step-by-step explanation:

The variable x represents the number of

✔ square tables

.

The variable y represents the number of

✔ round tables

.

If y = 9, find the value of x. The committee needs

✔ 12

square tables.

Matías compró un cuarto kilogramo de jamón y lo utilizó para hacer tres tortas así No sobró y a cada torta le puso la misma cantidad de jamón cuánto le tocó a cada torta

Answers

Answer:

The amount of ham in each cake = 1/12 kg

Question:

Matías bought a quarter kilogram of ham and used it to make three cakes like that. There was no leftover and he put the same amount of ham in each cake, how much he touched in each cake.

Step-by-step explanation:

Matías bought = 1/4 kilogram of ham

1/4 kilogram of ham = 3 cakes

There was no remainder

the same amount of ham is in each cake.

To find the amount of ham in each cake, we need to know the fraction of ham in each cake.

Since 3cakes = 1/4kg

1cake = (1/4kg×1cake)/3cakes

= 1/4kg ÷ 3 = 1/4 × 1/3

The fraction of ham in each cake = 1/12

The amount of ham in each cake = 1/12 kg

If the regular recipe that makes 14 pancakes calls for 1 cup of milk, how many cups should I use to make 21 pancakes? Group of answer choices 1 cup 2 cups 0.5 cups 1.5 cups

Answers

Answer:

x = 1 1/2 cups

1.5 cups

Step-by-step explanation:

We can use ratios to solve

14 pancakes        21 pancakes

------------------ = ------------

1 cup                  x cups

Using cross products

14x = 21*1

Divide each side by 14

14x/14 = 21/14

x = 3/2

x = 1 1/2 cups

Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1 Which inequality symbol should he use? Why?

Answers

Answer:

Greater than (>)

Step-by-step explanation:

Last week, Jason ran 26.1 miles.

He wants to run further this week.

Distance Run this week

2.4 miles to the park, Four times around the park= 4p (if distance around the park is p miles) 2.4 miles back from the park.

Total Distance this week =2.4+4p+2.4

Since his distance this week is going to be greater than the total distance covered last week (26.1 miles), we then have:

Total Distance covered this week > Total Distance Last week

[tex]2.4+4p+2.4>26.1[/tex]

Jason should use the greater than inequality sign.

Answer:

He should use the greater than symbol, >. He would not beat his distance if he only ran 26.1 miles, so the greater than or equal to symbol would not be correct.

Step-by-step explanation:

Y’all mind to help a dumb asian?

Answers

Answer:

A is 62 b is 54 c is 62 and d is 62

And 7

Step-by-step explanation:

Since it equals to 180 you add 62 and 54 which gives u 118 then subtract it

Not sure about the second one

Answer:

7.

∠a = 64

∠b = 62

∠ c = 64

∠d = 54

8.

∠6  and ∠7

Step-by-step explanation:

7. I know bc opposite angles are equivalent.

8. I know bc supplementary angles  are two anglers that add to 180 degrees, aka a straight line.

Please answer correctly !!!!!!! Will mark brianliest answer !!!!!!!!!!

Answers

Answer:

g(-4) =1

Step-by-step explanation:

g(-4) we want to find the value of the graph when x = -4

Got over to x=-4

Got up to the blue line

read the value of the y coordinate

y=1

g(-4) =1

YEAR 9 MATHS PLEASE QUICKLY HELP THIS WONT TAKE LONG
Here are six shapes made from centimetre squares.
Write down the letter of a shape with rotational symmetry of order 2.
(1 mark)

Answers

Answer:

letter of a shape with rotational symmetry of order 2 is B,D and F

Answer:

Step-by-step explanation:

i strongly believe it is  rotational symmetry of order 2 is B,D and F .

hope it helps

-Delilah

What is the volume of the sphere shown below?
--12-
A. 5767 units 3
B. 691277 units3
C. 23041 units
O D. 19271 units3

Answers

Answer:

answer is B

Step-by-step explanation:

Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.

What is a sphere ?

A sphere is a three dimensional solid shape. It is a set of points that are all at the same distance r from a common point. The distance r is the radius and the common point is the centre of the sphere.

Here,

The radius of the sphere is given by,

r = 12 units

The equation for volume of a sphere with radius r is given by,

V = 4/3 [tex]\pi[/tex]r³

So, the volume of the sphere is,

V = 4/3 x [tex]\pi[/tex] x 12³

V = 2.304 [tex]\pi[/tex]

V = 7234.56 unit³

Hence,

Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.

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Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.

Which statement must be true about the diagram?
1. Point K is a midpoint of Line segment J L.
2. mAngleJKN = One-halfmAngleJKM
3. Ray KM is an angle bisector of AngleNKL.
4. JK = One-halfKL

Answers

Answer:

Ray KM is an angle bisector of AngleNKL

Step-by-step explanation:

Answer:

Ray KM is an angle bisector of AngleNKL

Step-by-step explanation:

brainlist???????????

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