AB describes a line.
AB has a gradient of 3 and passes through the point (1, 15)
Find the equation of line AB,

Answers

Answer 1

Answer:

y = 3x + 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (1, 15) into the partial equation

15 = 3 + c ⇒ c = 15 - 3 = 12

y = 3x + 12 ← equation of line AB


Related Questions

A teacher is making a seating chart in order to group his class of 30 students. He puts 5 students in each group.
What should the teacher do to figure out how many groups he will have?

Answers

Answer:

The teacher should divide the amount of students by 5, that way they'll find how many groups they'll have. And the amount of groups they'll have is 6 groups of 5 students, you didn't ask for this part but I decided it'd be best to add it. Hope this helps, have an amazing day you awesome human! ^w^

Step-by-step explanation:

Simplify "6+2y-3+4y"​

Answers

As a factor it would be 3(3+2y)

Just simplified would be 9+6y
6y+3

6+2y-3+4y
(4y+2y)=6y
(6-3)=3
Therefore, your answer is 6y+3

i need this pls answer

Answers

Answer:

The answer to the problem is Leah had the shortest distance.

Step-by-step explanation:

Okay to solve this problem we must covert the fractions into decimals

(Maria) 5/6 as a decimal = 0.83

(Leah) 2/3 as a decimal = 0.66

(Jonas) 3/4 as a decimal  0.75

So who had the shortest distance??? Leah had the shortest distance.

Hope that helps. Please mark me brainliest I would appreciate it.

4. Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?
O y=-6x+4/5
O y= 4/5x-6
O y=4/5x+6
O y = 6x+4/5​

Answers

Answer:

y=5x-6

Step-by-step explanation:

Use form y= mx + b where m is the slope and b is the y intercept

14. Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?
A. log6 = log2 x log3 = 0.3010 x 0.4771
B. log6 = log2 + log3 = 0.3010 + 0.4771
C. log6 = log2 – log3 = 0.3010 – 0.4771
D. log6 = log2 = log3 = 0.3010 = 0.4771

Answers

Answer:

B. log6 = log2 + log3 = 0.3010 + 0.4771

Step-by-step explanation:

log 2 = 0.3010

log 3 = 0.4771

log 6 = ?

6 = 3 * 2

log 6 = log (3 * 2)

According to log rules;

log (a * b) = log(a) + log (b)

This means;

log 6 = log 3 + log 2

Inserting the values they represent;

log 6 =  log 3 + log 2 =  0.4771  + 0.3010

Correct option:

B. log6 = log2 + log3 = 0.3010 + 0.4771

If y = -2x + 3, find y when x = -3

Answers

Y= -2(-3) + 3

-2 multiplied by -3 is 6 and 6+3 is 9, meaning y= 9 when x= -3

What is the relationship between the exterior angle of a triangle and its remote
interior angles?

Answers

Answer:

The sum of the interior angles of a triangle is always 180 degrees. The exterior angle is the angle between any side of a shape, and a line extended from the next side. The sum of an exterior angle and its adjacent interior angle is also 180 degrees.

The relationship between the exterior angle of a triangle and its remote

interior angle is the exterior angle is equal to the sum of the two remote interior angles.

Which is known as the Exterior Angle Theorem.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

In a triangle, the exterior angle is formed when one side of the triangle is extended.

The exterior angle and the two remote interior angles (angles adjacent to the exterior angle on the triangle) form a linear pair, which means they add up to 180 degrees.

More specifically, the exterior angle is equal to the sum of the two remote interior angles.

This relationship is known as the Exterior Angle Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

For example, if one of the remote interior angles of a triangle measures 40 degrees, and the exterior angle adjacent to it measures 120 degrees, then the other remote interior angle measures 180 - 40 - 120 = 20 degrees.

Thus,

The relationship between the exterior angle of a triangle and its remote

interior angle is the exterior angle is equal to the sum of the two remote interior angles.

This relationship is known as the Exterior Angle Theorem.

Learn more about triangles here:

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Please answer. I’ll make brainliest. I have other questions aswell. So if u answer those as well You will get get brainliest for this question and the other two I’m about to post

Answers

The triangle VXW should look like that in the attachment.

sine of W = opposite side/hypotenuse

=> sine of W = 77/85

Other formulae:

cos(θ) = adjacent side/hypotenusetan(θ) = opposite side/adjacent side

the price of a pair of earrings is $22 but priya buys them on sale for $13.20.

Answers

she got them 40% off

Help what is the value

Answers

Answer:

I love you 3566267840 and pas 123456

for f(x) = 5x - 7 and f(x) = -3, what is the value of x​

Answers

Answer:

Step-by-step explanation:

hello :

f(x) = 5x - 7 and f(x) = -3

5x - 7  = -3

5x=7-3

5x=4

x=4/5

Answer:

x = 4/5

Step-by-step explanation:

5x - 7 = -3

5x = -3 + 7

5x = 4

x = 4/5

Check:

5*4/5 - 7 = -3

4 - 7 = -3

Madelyn is blocking off several rooms in a hotel for guests coming to her wedding.
The hotel can reserve small rooms, that can room 2 people, and large rooms, that can
room 3 people. How many wedding guests could stay in the hotel if Madelyn reserved
15 small rooms and 14 large rooms? How many wedding guests could stay in the hotel
if Madelyn booked s small rooms and I large rooms?

Answers

Answer:

72

2s+3l

Step-by-step explanation:

for first answer,

15×2+ 14× 3 = 30+ 42=72

for second answer,

2 ×s + 3×l

= 2s+3l

HELP ASAP WILL MARK BRAINLIST
Find the surface area

Answers

34 is the answer I think hope this helps

Answer:

24

Step-by-step explanation:

First we need to find the area on one square which is 2*2 which is 4. So now we have 5 more cubes like this and we have to add all their areas to find the surface area so we make a multiplicaction sentence :

4*6=24

Can someone help me with number 2 plzzzz!!!!

Answers

Answer:

Is

Step-by-step explanation:

Correct answer is A I think

I = prt solve for( r)​

Answers

Answer:

r = [tex]\frac{l}{pt}[/tex]

Step-by-step explanation:

Given

l = prt ( isolate r by dividing both sides by pt )

[tex]\frac{l}{pt}[/tex] = r

image down below thx

Answers

Answer:

question 2 answer you wrote correct

question 3 answer is 20

Answer:

Q.2: 39, Q.3: 20 cups

Step-by-step explanation:

Q.2 Dog/Cat = 2/3

when Dog = 26,

26/cat = 2/3

cat = 26 x 3 / 2 = 39

Q.3 Sugar/Flour = 3/5

when sugar = 12 cups,

12/Flour = 3/5

Flour = 12 x 5 / 3 = 20 cups

A little boy stands on a carousel and rotates around the road four times. The distance between the little boy and the center of the carousel is 6 feet, then how many feet did a little travel?
1. 389.99FT
2. 150. 72FT
3.1675.39 ft
4. 593.94 ft

Answers

150.72

...............

A shop buys one carton of chocolate bars.
•They sell 3/5 of the bars at a profit of 30 percent
•They sell each of the remaining bars at $0.84
Calculate the overall percentage profit made by the shop from selling all 80 bars

Answers

We cant tell because we dont know the original price of the chocos

find the area of each parelogram

Answers

Answer:

A. 8

B. 10

C. 8

Step-by-step explanation:

If this helped brainliest would be appreciated!

What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?

Answers

Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

luis has 8 chapters to of a book to read. if she reads 2/3 of a chapter each day, how many days will it take her to finish the book?​

Answers

Answer:

8/ (2/3)= 12

It will take Luisa 12 days to finish the book.

A parabola with an equation of the form y=ax^2+bx+c has the point (3, 1) as its vertex. If (1, 3) also lies on this parabola, which of the following is another point on the parabola? A. (2, 6) B. (−3, −1) C. (5, 3) D. (2, 2) E. (−1, −3)

Answers

Answer:

(5,3)

Step-by-step explanation:

I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.

Next I plotted the point (1,3).

Then I counted the spaces between point 1,3 and 3,1 as shown in the picture

Finally I graphed the point and connected the lines to make sure it looked like a parabola.

solve both of these?

Answers

Answer: 1. 18600000000 2. 645000

Step-by-step explanation:

62000000 x 300 = 18600000000

The area of Rhode Island is 1500. The area of Alaska land is a little more than 430.

1500 x 430 = 645000.

(I not sure if 645000 is the correct number, but that’s what I got).

PLEASE HELP ME SOLVE THIS. Find the value of x and y. Round your answer to the nearest tenth. ​

Answers

sin20 = x/5
5sin20 = x

x = 1.71

cos20 = y/5
5cos20 = y

y = 4.70

Hope this helps.

3. Solve for the side length of BA and AC. * (image attached)
1 point
Captionless Image
BA = 8, BA = 30
BA = 8, AC = 16
BA = 8, AC = 8√2
BA = 8, AC = 8√3

Answers

Ba = 8,ac = 16 is the correct one

Answer:

D. BA = 8, AC = 8√3

Step-by-step explanation:

First, because this is a right triangle, refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:

sine = opposite side/hypotenuse

sin(30) = BA/16

sin(30) / 1 = BA / 16

Cross multiply:

BA = sin(30) (16)

BA = 8

AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:

cosine = adjacent side/hypotenuse

cos(30) = AC/16

cos(30) / 1 = AC / 16

Cross multiply:

AC = cos(30) (16)

AC = 8√3

You can check by using the Pythagorean Theorem:

a² + b² = c²

8² + (8√3)² = 16²

64 + 192 = 256

256 = 256

someone help with this plss

Answers

Answer:

YW = ZW

Step-by-step explanation:

Answer:

YW=ZW otherwise I don't know

TTriangle H L I is shown. Line segment J K is drawn near point L to create triangle J L K. If △HLI ~ △JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio? StartFraction H I Over J K EndFraction StartFraction H J Over J L EndFraction StartFraction I K Over K L EndFraction StartFraction J K Over H I EndFraction

Answers

Question:

[tex]\triangle[/tex]HLI is shown. Line segment JK is drawn near point L to create [tex]\triangle[/tex]JLK. If [tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK by the SSS similarity theorem, then [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex] is also equal to which ratio?

[tex]\frac{H I}{J K}[/tex]      [tex]\frac{H J}{J L}[/tex]     [tex]\frac{I K}{K L}[/tex]     [tex]\frac{J K}{H I}[/tex]      

Answer:

[tex]\frac{H I}{J K}[/tex]

Step-by-step explanation:

Given

HLI ~ [tex]\triangle[/tex]JLK

[tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]

Required

Which other ratio equals [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]

[tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK  implies that:

HL, IL and HI corresponds to JL, KL and JK respectively.

So, the possible ratios are:

HL : IL : HI = JL : KL : JK

Convert to fractions

[tex]\frac{HL}{JL} = \frac{IL}{KL} = \frac{HI}{JK}[/tex]

So, from the list of options

[tex]\frac{H I}{J K}[/tex] is equivalent to [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]

Answer:

its A

Step-by-step explanation:

Factor the expression 28x -8

Answers

Answer:

4(7x-2)

Step-by-step explanation:

yeah so that's the answer your welcome

The factor of the polynomial expression 28x - 8 will be 4 and (7x - 2).

What is factorization?

It is a technique for separating a polynomial into sorts that will be duplicated out. As of now, the polynomial's worth will be zero.

Polynomial math is the investigation of conceptual images, while rationale is the control of that multitude of thoughts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 28x - 8

Factorize the expression, then we have

⇒ 28x - 8

⇒ 4·7x - 4·2

⇒ 4(7x - 2)

The element of the polynomial articulation 28x - 8 will be 4 and (7x - 2).

More about the factorization link is given below.

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will give brainliest for correct answer so pls help me

Answers

Answer: Greater range is girls, greater median is girls.

Step-by-step explanation:

150-70= 80 (girls) while 120-60=60 (boys), and boys is 8-.5 while girls is 110.

I really need help!!!!

Answers

Answer:

No

Step-by-step explanation:

You can't use the perpendicular bisector theorem because it doesn't intersect it at a right angle, (meaning it isn't perpendicular)

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