Which equation represents a line passing through the point (8, 9) with a slope of 3?
A) y = 3x - 15
B) y = 3x - 8
C) y = 3x + 33
D) y = 3x + 9

Answers

Answer 1

Answer:

a

Step-by-step explanation:

basically the number with x is always the slope and I really just put the equations into a inspire and got the answer by which one matched

Answer 2

The equation of line passing through the point (8, 9) with a slope of 3

will be;

⇒ y = 3x - 15

Option A is true.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The slope of the line = 3

And, The point on the line = (8, 9)

Now,

Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Hence, The equation of line passing through the points (8, 9) with slope '3' is defined as;

⇒ y - y₁ = m (x - x₁)

⇒ y - 9 = 3 (x - 8)

⇒ y - 9 = 3x - 24

⇒ y = 3x - 24 + 9

⇒ y = 3x - 15

Thus, The equation of line passing through the point (8, 9) with a slope of 3 will be;

⇒ y = 3x - 15

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Related Questions


please help i’ll give brainliest

Answers

The answer is 65pi for lateral surface area

Water in a 14mm diameter pipe flows at 2m/s. How many liters flow along the pipe in 1 minute

Answers

Answer:

The flow rate will be say around 10000 liters per hour. Or 180 liters per minute.

Step-by-step explanation:

find the missing base below
|
|
|
V

Answers

Step-by-step explanation:

area of a parallelogram is bh

so if a parallelogram has a base of b and a height of 10 and an area of 140

b(10)=140

b=14

Hope that helps :)

Which expression is equivalent to 14y−12?

14(y−2)

−14(y−12)

14(y−12)

−14(y−2)

Answers

Answer:

The answer is 1/4 (y-2)

Step-by-step explanation:

I got the answer correct on my test!

Solve each equation by taking square roots : NEED THIS ASAP WILL GIVE BRAINLIEST

Answers

Answer:

1.) M=9,-9  2.) x=10,-10  3.) n=3,-3  4.) x=2,-2

Step-by-step explanation:

What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles

Answers

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because it has two parallel side and and other are just lines but being quadrilateral its sum is 360

Find the volume of the sphere below. Leave your answer in terms of pi.

Answers

Answer:

C) 972π

Step-by-step explanation:

Volume of a sphere formula:

V = 4/3πr³

Given:

r = 9

Work:

V = 4/3πr³

V = 4/3π9³

V = 4/3(729)π

V = 972π

find the area of the large and small rectangles :,))

Answers

Answer:

the area of the large rectangle is 120m squared in the area of the smaller triangle is 14m squared

Answer:

Area of large rectangle = 120m²

Area of small rectangle = 14m²

Step-by-step explanation:

Large rectangle:

Length = 12m

Breadth = 10m

Area of rectangle = l × b

Area = 12 × 10

Area = 120m²

Small rectangle:

Length = 7m

Breadth = 2m

Area of rectangle = l × b

Area = 7 × 2

Area = 14m²

Melissa can ride 20 miles on her bike in 8 hours how many miles can she ride an a hour

Answers

Answer:

2.75 miles in 1 hour

Step-by-step explanation:

Please help and I’ll mark brain list!

Answers

Answer:

y = 6

Step-by-step explanation:

Answer:

Y = 6

Step-by-step explanation:

5y + 1 = 31         -1        -1   [tex]\frac{5y}{5y}[/tex] = [tex]\frac{30}{5y}[/tex]   Y = 6

How many of these figures have at least one vertex?

Answers

Answer:

Two of those figures have a vertex.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!

The number of figures has at least one vertex is 2. Therefore, option C is the correct answer.

What is a vertex?

A vertex is a point in geometry where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedral.

From the given figure,

Sphere: Spheres have no vertex (the surface is a curve).

Triangular pyramid: Triangular pyramid has 5 vertex, 4 faces and 6 edges

Cube: Cube has 8 vertex, 6 faces and 8 edges.

Cylinder: A cylinder has 0 vertices. A cylinder has 2 edges. A cylinder has 2 faces and 1 curved surface.

Therefore, option C is the correct answer.

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NEED HELP ASAP FREE BRAINLIST

Answers

9514 1404 393

Answer:

113.04, 4, 452.1678.5, 11, 863.5153.86, 10, 1538.6

Step-by-step explanation:

When calculations are repetitive, I like to let a calculator or spreadsheet do them. Here we have used the formula for the base area:

  B = πr² = 3.14×r²

In the second figure, the radius is half the diameter, so is 5 units.

The table in the attachment lists the base area B, the height h (from the figures), and the volume V. These are the values that you need to drag and drop to the boxes in your problem.

  V = 113.04 · 4

  V = 452.16 units³ . . . showing how the numbers are used in the first figure

PLZ HELP ASAP!!! 9 equals x over 2 + 2 ​

Answers

x=14
just get x alone

Es fills his sport bottle wit 1.2 liter of water how much milliliters of water is in ed sport bottle

Answers

There is 1200 mL in his bottle

a farmers market sells apples for $2.30 per pound. what would be the cost of 3 2/5 pounds of apples

Answers

Answer:

7.20

Step-by-step explanation:

Answer:

7.20 or 6.90

Step-by-step explanation: most likely 7.20 because 3 pounds of apples is 6.90 so adding a half to that would be 7.20

Find the area of the following figure: 14ft 6ft 9ft

Answers

Step-by-step explanation:

s =   a+b+c  / 2

=   14+6+9  / 2

=  14.5 feet

Area =  √s(s-a)(s-b)(s-c)

=  √14.5×(14.5 - 14)×(14.5 - 6)×(14.5 - 9)

ANSWER: 18.410255294265 feet^2

Help me please :(.....

Answers

Answer:

1, 1, 3, 3

Step-by-step explanation:

For an even function, f(-x) = f(x).

So, f(-1) = f(1) = 1.

Similarly, the other three blanks are 1, 3, and 3, respectively.

Find the area and perimeter of ABC. A(-2,-4)B(1,5)C(2,2)

Answers

The area of triangle ABC is 23.5 square units and the perimeter is 20.4174 units.

To find the area and perimeter of the given triangle ABC, we need to apply the following formulas:Formula for Distance between two points:

The distance between two points (x1, y1) and (x2, y2) is given by:

AB = √(x2-x1)²+(y2-y1)²BC = √(x3-x2)²+(y3-y2)²AC = √(x3-x1)²+(y3-y1)²

Formula for Area of Triangle: If we know the length of the three sides of a triangle then,

using Heron's formula, we can calculate the area of the triangle as:

area = √s(s-a)(s-b)(s-c)where a, b, and c are the lengths of the sides of the triangle and s is the semi-perimeter of the triangle, which is given as s = (a+b+c)/2

Formula for Perimeter of Triangle: The perimeter of the triangle is the sum of the lengths of its sides.

That is: perimeter = AB + BC + ACArea of ΔABCAB

= √(1 - (-2))² + (5 - (-4))²AB

= √3²+9² = √90BC

= √(2 - 1)² + (2 - 5)²BC

= √1²+3² = √10AC

= √(2 - (-2))² + (2 - (-4))²AC

= √4²+6²

= √52Semi-Perimeter (s)

= (AB + BC + AC)/2

= (√90 + √10 + √52)/2

= 12.8572Area of ΔABC

= √s(s-a)(s-b)(s-c)

= √12.8572(12.8572-√90)(12.8572-√10)(12.8572-√52)

= 23.5

Perimeter of ΔABC = AB + BC + AC = √90 + √10 + √52 = 20.4174

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Choose all the possible solution that makes the inequality statement True

x + 15 ≤ 35

O 20, 21, 22

O 18, 19, 20

O -18,-19,-20

O 50, 51, 52

Answers

Answer:

18, 19, 20

-18,-19,-20

Step-by-step explanation:

x + 15 ≤ 35

x ≤ 35 - 15

x ≤ 20

x must be 20 or less than it

What is 1/6 as a percent.

Answers

Answer:

16.66 %

Step-by-step explanation:

1 / 6 as a percent

= ( 1 / 6 ) x 100

= 100 / 6

= 16.66 %

1/6 = 16.6667% (percentage)

Find a basis of the subspace

Find a basis of the subspace of R4

that consists of all vectors perpendicular to both

[1,0,5,-9] and [0,1,9,-7].

Answers

A basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7] is [-5, -9, 5].

To find a basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7], we can use the concept of the cross product.

Let's consider the vectors [1,0,5,-9] and [0,1,9,-7] as vectors A and B, respectively.

We can find a vector C that is perpendicular to both A and B by taking the cross product of A and B.

C = A × B

To compute the cross product, we can use the following determinant formula:

C = [i, j, k]

[1, 0, 5]

[0, 1, 9]

Expanding the determinant, we have:

C = (0 × 9 - 1 × 5)i - (1 × 9 - 0 × 5)j + (1 × 5 - 0 × 1)k

= -5i - 9j + 5k

Therefore, we have found a vector C that is perpendicular to both [1,0,5,-9] and [0,1,9,-7], which is C = [-5, -9, 5].

To find a basis of the subspace, we can use this vector C as the basis vector. Since it is the only vector in the subspace, it forms a basis.

So, a basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7] is [-5, -9, 5].

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1. Dylan invested $47,000 in an account paying an interest rate of 4% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $79,200?

2. x^2 + y^2 = 153 and y = -4x. If (x, y) is a solution to the system of equations above, what is the value of y^3?

Answers

Answer:

(1) 13.0 years

(2) [tex]y^{3} =[/tex] {-1728, 1728}

Step-by-step explanation:

(1)

Compound annually:

[tex]Pe^{rt}[/tex] = A

(47000)[tex]e^{(0.04)(t)}[/tex] = 79200

[tex]e^{(0.04)(t)}[/tex] = [tex]\frac{79200}{47000}[/tex]

ln([tex]e^{(0.04)(t)}[/tex]) = ln([tex]\frac{79200}{47000}[/tex])

ln and e cancel out.

(0.04)(t) = ln([tex]\frac{79200}{47000}[/tex])

t = [tex]\frac{ln(\frac{79200}{47000})}{0.04}[/tex]

t = 13.0 years

(2)

[tex]x^{2} +y^{2} = 153\\y = -4x[/tex]

Substitute y with -4x.

[tex]x^{2} + (-4x)^{2} = 153[/tex]

Solve for x.

x = {-3, 3}

Plug in x values into any equation to find y.

y = -4(-3) and y = -4(3)

y = {-12, 12}

[tex]y^{3}[/tex] = [tex]-12^{3}[/tex] = -1728

[tex]y^{3}[/tex] = [tex]12^{3}[/tex] = 1728

Answer:

13.3    

Step-by-step explanation:

I got it right  

What is the total surface area of a cylinder with a radius of 12 mm and height of 3 mm? (Use 3.14 for it.) DO NOT PUT LABEL ON ANSWER.​

Answers

Answer:

A≈1130.97

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

Step-by-step explanation:

A=2πrh+2πr2=2·π·12·3+2·π·122≈1130.97336

Someone help me please!!!Divide 100 in the ratio 2:3.​

Answers

Answer:

pirwvjihpwrugh

Step-by-step explanation:

wrhfuwhfuhugfrifhi

Answer:

not possible

Step-by-step explanation:

It can't be possible because the ratio would be 50:1 is possible

The number of points Marcus scored in different rounds of a computer board game is shown
235 342 328 352 352 306 317

6. What score does Marcus need in his next
game to have a mean of exactly 325?

Answers

Answer:

583

Step-by-step explanation:

The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:

[tex]\frac{(236)+(342)+(328)+(352)+(352)+(306)+(317)+(x)}{8}=325\\[/tex]

Simplify,

[tex]\frac{2233+x}{8}=352[/tex]

Inverse operations,

[tex]2233+x=2816\\\\x = 583[/tex]

Answer:

It’s 367

Step-by-step explanation:

your most exciting day of school​

Answers

Answer:

first day. yehahhhhhhhh

Answer:

School isn't exciting for me, lol.

Step-by-step explanation:


Simplify the expression:
6(5 + x) - 2x

Answers

Answer: 30+4x

Step-by-step explanation: Expanding the expression you would get 30+6x-2x and then you subtract the 6x and 2x to get 4x

Answer:

30+4x.

Step-by-step explanation:

yehdbebdbejeiiwiwuebdbsjjjwiwjeurnfnd

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR ILL REPORT YOU AND GET YOUR ACCOUNT DELETED.

Answers

Answer:

6

Step-by-step explanation:

What’s another word for average

Answers

Answer:

Mean,median, mode, rule, par, normal etc.

Step-by-step explanation:

22 points. The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle PQRS. If AB = 60 inches, what is PQ?


A. 60 in.
B. 40 in.

C. 30 in.
D. 20 in.

Answers

PQ are the first two letters and AB are the first two letters.

Since the windows are similar the letters in one are in the same orientation as the other ones.

This means PQ would be the same as AB

PQ = 60

The answer is A. 60 in.

Answer:

a

Step-by-step explanation:

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