(ASAP) Work out the equation of the line passing through (2,-3) and parallel to the line y=3x+4

Answers

Answer 1

Answer:

y = 3x - 9

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 )

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (2, - 3) into the partial equation

- 3 = 6 + c ⇒ c = - 3 - 6 = - 9

y = 3x - 9 ← equation of parallel line


Related Questions

Which inequality will have a shaded area below the boundary line

Answers

Answer:

D.

Step-by-step explanation:

If you calculate the rest of the equations, they all result in y being more than (or equal to) the rest of the inequalities. You are looking for an inequality where y is LESS than the other stuff.

Hope this [kinda] helps!

(Teaser) Is it possible to have a triangle whose all three altitudes intersect at one of the vertices of that triangle?

answer can be.. YES or NO

Answers

Answer:

yes

Step-by-step explanation:

yes

Having a hard time on these 2

Answers

Answer:

3. A = 363.3 mm²

4. A= A = 1122.4 yd²

Step-by-step explanation:

pretty sure these are correct

plz mark brainliest!

3. A= 363.3
4. 1122.4

What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 9 units and base 7 units.

A. 21 square units
B. 56 square units
C. 63 square units
D. 81 square units

Answers

Answer: 63 square units

Step-by-step explanation:

Area of a parellelogram = b x h

7 x 9 = 63 square units

Answer:

63

The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9

7 x 9 = 63

Step-by-step explanation:

please help, I don’t understand.

Answers

Answer: The distance from Shively to the tower is 386.1 meters

The distance from Sparzak to the tower is 226.9 meters

The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.

Step-by-step explanation:

You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.

From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:

A = 90° - 40° =50°

(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)

Now, we want to find the opposite cathetus to this angle, so we can use the relation:

Tan(A) = Opposite cath/adjacent cath.

And we know that the adjacent cathetus, the tower, is 324m long.

then:

Tan(50°) = X/324m.

Tan(50°)*324m = X = 386.1m

now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.

So we have:

Tan(35°) = X/324m

Tan(45°)*324m = 226.9m

then:

The distance from Shively to the tower is 386.1 meters

The distance from Sparzak to the tower is 226.9 meters

The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.

Can you Please help me

Answers

Answer:

45/12

Step-by-step explanation:

first open the brackets +(-5½)= -5½

-7⅔-5½+8¾ put liketerms together

8¾-5½-7⅔

(find the LCM of the denominator 4,2,3 that is 12)

change the improper fraction to proper fraction 35/4-11/2-23/3.

(multiply by the 12 to make the denominator same)

(35/4x12)-(11/2x12)-(23/3x12)

105-66-92 = -53/12

12

=-45/12

On evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get  -4[tex]\frac{5}{12}[/tex].

What are fractions?

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.  The number on the bottom of the line is called the denominator.

Given is the following expression -

- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]

We have the following expression -

- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]

On solving, we get -

- 23/3 - 11/2 + 35/4

35/4 - 23/3 - 11/2

(105 - 92 - 66)/12

(105 - 158)/12

-53/12

-4[tex]\frac{5}{12}[/tex]

Therefore, on evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get  -4[tex]\frac{5}{12}[/tex].

To solve more questions on fractions, visit the link below-

https://brainly.com/question/15200890

#SPJ2

The volume of a cylinder is 576, cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?

Answers

Answer:

36 / pi = h

Using 3.14 for pi

h =11.46496815 inches

Using the pi button

h =11.45691559 inches

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the volume and the radius

576 = pi ( 4)^2 h

576 = pi 16 h

Divide each side by 16 pi

576/16 pi = pi 16 h/ 16 pi

36 / pi = h

Using 3.14 for pi

h =11.46496815 inches

Using the pi button

h =11.45691559 inches

what is the measure of acb

Answers

CBA = 180 - 70 (linear pair)

=110

ACB = 180- (20+110)

= 180-130 = 50

Sorry I’m answering this so I can post my question O-O

There are 15 boys and 16 girls in Gabriel’s class. One person is chosenat random. What is the probability that the person chosen to hand out books is a girl?

Answers

Answer:

16/31 or ≈ 52%

Step-by-step explanation:

1. Find the total students in the class.

  15 + 16 = 31

2. Make a fraction (girl/total students)

  16/31

Your answer as a fraction is 16/31. If you have to change it to a percent, you would get around 52%.

Jasmine, Georgia, and Olivia are in boats on a lake. Their
relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the
nearest whole number.
ft

Answers

Answer:

52 feet

Step-by-step explanation:

Took the test

Please help me i dont understand this lol thank you

Answers

Answer:

Positive Correlation

Step-by-step explanation:

The Points on the graph are increasing upward, which would make this a positive correlation.

Use the Zero Product Property to solve each equation.

2x2 - 5x + 2 = 0

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]4x-5x+2=0[/tex]


y = 2x + 4
y = -x + 1

What is the solution to the system of equations?

A. (-1, 2)

B. (-1, 1)

C. (-2, 0)

D. (0, 1)

Answers

The answer is (-1 ,2)

Find the quotient of 1 5/6÷ 2 1/8 Give your answer as a fraction in its simplest form.

Answers

Answer:

1 5/6 = 11/6

2 1/8 = 17/8

11/6 ÷ 17/8

11/6 × 8/17

= 44/51

Hope this helps.

Answer:2.67 or 4/2

Step-by-step explanation: it just is

Plz answer the following equation. Plz answer all the questions... !!! 20 pts !! With explanations of each and plz can you make e understand them.

Answers

Answer:

add the negative to the 0 that is left alone at the end then carry the x2 over to the side bringing it down with the x and cancel them taking away the 2. the answer is -1

Step-by-step explanation:

Answer:

2+√3

2-√3

Step-by-step explanation:

4x-1-x²=0x²-4x+1=0x²-4x+4-3=0(x-2)²=3x-2=√3 ⇒ x= 2+√3x-2= -√3 ⇒ x= 2-√3

Roots are irrational

Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)​

Answers

Answer:

x^3 + 3x^2 + 4x + 12


Solve this equation: 3x –1/5- 2/9x= 124/5
Step 1: Simplify by combining like terms. Which terms can
be combined?​

Answers

Answer:

x = 9

Step-by-step explanation:

Given

3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides

3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side

[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )

25x = 225 ( divide both sides by 25 )

x = 9

30 POINTS FOR THIS ONE

1.

In the equation 0.5x - 8 = 1.5, the decimal coefficient is ___________________.


2.

In the equation 3/4y + 1/2 = 3 1/4, the fractional coefficient is _____________________.


3.

In the equation -2 - 6b = 32, the negative coefficient is ___________________.


4.

In the equation 5x + 9 = 3x, 3x is a like term with _______________________.

Answers

Answer:

1. 0.5

2. 3/4

3. -6

4. 5x

Step-by-step explanation:

1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.

The decimal coefficient is therefore 0.5. It is the coefficient of x.

2. The fractional coefficient is 3/4. It is the coefficient of y.

3. The negative coefficient is -6. It is the coefficient of b.

4. A like term is one which contains the same type of terms as another term.

3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.

The multiplication property of equality could be used to solve which of the following equations?
4x = 5
X + 5 = -4
8/X= 1
(x + 5)(4x - 1) = 0

Answers

Answer:

8/X= 1

Step-by-step explanation:

"8/X= 1" requires the multiplication property of equality for 'x' to get solved.

[tex]\frac{8}{x}=1\\\\\frac{8}{x}*x=1*x \leftarrow\text{Multiplication Property of Equality}\\8 = x \\\\\boxed{x=8}[/tex]

Answer:

Step-by-step explanation:

I would probably say C which is 8/X= 1.

The first one uses the division property of equality.

The second uses the subtraction property of equality.

The third uses multiplication property of equality, which basically means  mulitplying both sides of an equation by the same quantity.

The last one does not follow any property that I am aware of or am acquainted with.

hich equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply. 3 x minus 2 y = 4 2 x minus 3 y = 12 Negative 4 (2 x minus 3 y) = negative 4 (12) 2 (x + 6) = 3 y 2 x minus 3 y = 4

Answers

Answer:

[tex]2x - 3y = 12[/tex]

[tex]-4(2x - 3y) = -4(12)[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{2}{3}x - 4[/tex]

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

[tex]3* y = 3(\frac{2}{3}x - 4)[/tex]

[tex]3y = 3 * \frac{2}{3}x - 3 * 4[/tex]

[tex]3y = 2x - 12[/tex] ---- Equation 1

Subtract 3y from both sides

[tex]-3y + 3y = 2x - 12 - 3y[/tex]

[tex]0 = 2x - 12 - 3y[/tex]

Add 12 to both sides

[tex]12 + 0 = 2x - 12 - 3y + 12[/tex]

[tex]12 = 2x - 3y[/tex]

Rearrange:

[tex]2x - 3y = 12[/tex] ---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

[tex]2x - 3y = 12[/tex]

[tex]-4(2x - 3y) = -4(12)[/tex]  ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to [tex]y = \frac{2}{3}x - 4[/tex]

Answer:

Answer:

Step-by-step explanation:

Given

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

---- Equation 1

Subtract 3y from both sides

Add 12 to both sides

Rearrange:

---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

 ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to

Step-by-step explanation:

help please~!!! how many solutions does the equation 4y − 4y − 12 = 14 − 2 have? thanks! <3 first question will be marked as brainiest <3

Answers

Answer:

No solutions

Step-by-step explanation:

The 4y and the -4y will always cancel each other out. This leaves us with

-12 = 14-2

or

-12 = 12

which is never true  

Which function equation is represented by the graph? ​f(x)=12(4/3)x​ ​f(x)=12(1/2)x​ ​f(x)=12(3/2)x​ f(x)=12(2/3)x

Answers

it’s d; f(x)= 12 (2/3)^x

7
jet flies over the Air Force Base at 10:20
am At 10:32 am, the plane passes over the
Ilary Base Station, 120 miles away. How fast
is the aircraft traveling?​

Answers

Answer:

The speed of aircraft is 600 mph.

Step-by-step explanation:

Given distance = 120 miles

Time for which jet flew : from 10:20 AM to 10:32 AM

Total duration for which jet flew =  10:32 - 10:20  = 12 minutes

(from 10 hours 32 minutes and 10 hours 20 minutes

10 hours gets cancelled, 32 minutes - 20 minutes is 12 minutes)

here time is in minutes, we have to convert it in hours

we know

60 minutes = 1 hour

1 minutes = 1/60 hour

multiplying LHS and RHS by 12

1*12 minutes =  (1/60) *12hour

12 minutes =  (1/60) *12hour

12 minutes = 1/5 hours

We know

speed = distance / time

distance = 120 miles

time = 1/5 hours

speed = 120 miles/ (1/5 hours)

speed = 120 * 5 mph = 600 mph

The speed of aircraft is 600 mph.

A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many of them own a car. A 4-column table with 3 rows. The first column has no label with entries L A residents, N Y C residents, total. The second column is labeled own a car with entries 3,251; 1,478, 4,729. The third column is labeled do not own a car with entries 869; 6,182; 7,051. The fourth column is labeled total with entries 4,120; 7,660; 11,780. Which statement about the two-way frequency table is true? The survey represents quantitative data. There is a greater percentage of LA residents who own a car than NYC residents who do. The total number of people in the poll who own a car is 4,120. More people in the poll own a car than do not own a car.

Answers

Answer:

The correct option is;

There is a greater percentage of LA residents who own a car than NYC residents who do

Step-by-step explanation:

The values are presented as follows;

LA residents who own a car = 3251

NYC residents who own a car = 1478

Total residents who own a car = 4729

LA residents who do not own a car = 869

NYC residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total LA residents sampled = 4120

Total NYC residents sampled = 7660

Total residents of both cities sampled = 11780

Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%

Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%

The total number of people in the poll who own a car = 4729

Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.

Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.


What is 1/7
as a decimal?
Give your answer rounded to 2
decimal places.

Answers

1/7 as a decimal is 0.1428571429

But if you round that to the nearest 2 decimal place it is 0.14

I really hope this helps.

Hira is rollerblading at 9 m/s. Danni is climbing at 7 m/s. Amelia is cartwheeling at 2 m/s.

Who will travel the furthest in 15s?

Answers

Answer:

Hira

Step-by-step explanation:

They are going at the fastest speed as 9 is the most

Answer:

Hira

Step-by-step explanation:

Can someone help me with this question please

Answers

Answer:

x <-8

Step-by-step explanation:

3-(2x-5) < -4(x+2)

Distribute

3 -2x+5 < -4x-8

Combine like terms

8 -2x < -4x-8

Add 4x to each side

8 -2x+4x< -4x-8+4x

8+2x < -8

Subtract 8 from each side

8-8+2x< -8-8

2x<-16

Divide by 2

2x/2 < -16/2

x <-8

Answer:

[tex]x < - 8[/tex]

First answer is correct

Step-by-step explanation:

[tex]3 - (2x - 5) < - 4(x + 2) \\ 3 - 2x + 5 < - 4x - 8 \\ 3 + 5 + 8 < + 2x - 4x \\ 16 < - 2x \\ \frac{16}{ - 2} < \frac{ - 2x}{ - 2} \\ x < - 8[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

If there are 15 girls and nine Boyz in an art class the ratio of girls to boys in the class as what

Answers

Answer:

5:3

Step-by-step explanation:

15:9 = 15/9 = 5/3 = 5:3

Answer:

I think 3:5

Step-by-step explanation:

help sleepyhelp asap

Answers

Answer:

The one that has the number of meals in the side and the one that has number of days

Step-by-step explanation:

If it’s 3 meals a day u would want the one that says meals and days now if u look at the chart u can see that this one has 3 meals for one day which is the same as the equation she has

Hope this helps

Will give brainliest answer

Answers

Area of square = L x W
= 5 x 5
= 25
Area of triangles = B x H / 2
= 4 x 5 / 2
= 20 / 2
= 10
There are 4 triangles so: 10 x 4 = 40
40 + 25 = 65
Surface area of pyramid = 65 units^2

Answer:

[tex]72.16 \: {units}^{2} [/tex]

Step-by-step explanation:

[tex]surface \: \: \: area \\ = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } \\ = {5}^{2} + 2 \times 5 \times \sqrt{ \frac{ {5}^{2} }{4} + {4}^{2} } \\ = 72.16 \: {units}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Other Questions
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