Write the equation of a line that is parallel to 3x-2y=5 and passing through the point (-1,3)

Answers

Answer 1

Answer:

y = 3/2 x + 9/2

Step-by-step explanation:

3x - 2y = 5

3x - 5 = 2y

3/2 x - 5/2 = y

y = 3/2 x - 5/2, slope of this line m = 3/2.

For parallel line slope is the same.

y = mx + b

y = 3/2 x + b

Using point (-1,3) , we can find b.

3 = (3/2)*(-1) + b

3 = -3/2 + b

b = 3 + 3/2 = 6/2 + 3/2 = 9/2

y = 3/2 x + 9/2


Related Questions

Solve the equation.
-3x-5=16

What does 'x' equal?

Answers

Answer:

-7

Step-by-step explanation:

-3x-5=16

-3x=21

x=-7

Answer:

x=-7

Step-by-step explanation:

-3x-5=16 Addition property of Equality

-3x=21 Multiplication Property of Equality

x=-7

A box contains 56 balls. The probability of selecting a red ball at random is 5/7. How many balls in the box are not red?

Answers

Answer:

Brain to me plz

Step-by-step explanation:

2/7 is the balls are not red, so 2/7 multiplyed by 56

which is 16

Answer:

16 balls

Step-by-step explanation:

If 5/7 of the balls are red then the fraction of balls that are not red is;

[tex]\frac{7}{7} - \frac{5}{7} = \frac{2}{7}[/tex]

Which means 2/7 of the balls are not red. So to get the number;

[tex]= \frac{2}{7} * 56 \\= 2 * 8\\[/tex]

= 16

∴16 balls are not red

Really need help it’s due tomorrow

Answers

Answer:

C) 38

Step-by-step explanation:

You are solving for m∠QSR.

Given:

m∠TSR (Total of the two angles) =  70

m∠QST = 2x

m∠QSR = 3x - 10

Set the two angles equal to the total measurement of angles:

2x + 3x - 10 = 70

Simplify. Combine like terms. Add 2x & 3x:

2x + 3x = 5x

5x - 10 = 70

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 10 to both sides:

5x - 10 = 70

5x - 10 (+10) = 70 (+10)

5x = 70 + 10

5x = 80

Next, divide 5 from both sides:

(5x)/5 = (80)/5

x = 80/5

x = 16

Then, plug in 16 for x in the expression given. Remember you are solving for m∠QSR.

m∠QSR = 3x - 10

m∠QSR = 3(16) - 10

m∠QSR = 48 - 10

m∠QSR = 38

C) 38 is your answer.

~

Answer:

38

Step-by-step explanation:

the sum of two angles =70

2x+3x-10= 70

5x=80

x=80/5=16

QSR= 3x-10=3*16 -10= 48-10= 38

What are the measures of interior angle a and exterior angle b?
a=____
b=____

*20 points*

Answers

Answer:

a = 180 - 92 - 27=61

b = 92 + 27= 119

Step-by-step explanation:

Answer:

Interior Angle A = 180 - (27 +92)

= 180 - (119)

= 61 degrees

Exterior Angle B = 180 - 61

= 119 degrees

Which of the following expressions represents the area, in square meters, of the regular decagon (10-sided polygon) with 3.25 meter-sides and a 5-meter apothem.

Answers

Answer:

A = P * a / 2

A = 81.25

Step-by-step explanation:

We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:

A = P * a / 2

In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:

P = 10 * 3.25

P = 32.5 meters

We replace:

A = 32.5 * 5/2

A = 81.25

Which means that for that regular decagon, the area is 81.25 square meters.

Pleas help !!!
Choices
X= -1
Y = -1
X = 1
Y= 1

Answers

Answer:

x=-1

Step-by-step explanation:

The axis of symmetry is along the vertex

The vertex is at (-1,-2)

The x coordinate is -1

x=-1

20t- (8t+ 50s + 200)

Answers

Answer:

[tex]20t- (8t+ 50s + 200)\\20t- 8t- 50s - 200\\12t-50s-200[/tex]

how do you figure out what is a trinomial?

Answers

Answer:

To factor trinomals in the form of x^2+bx+c, you have to find 2 integers, r and s, whose product is c, and whose sum is b. You have to rewrite the trinomial as x^2+rx+sx+c and then using the grouping and distribution of property to factor the polynomial. The result of the factors will be (x+r) and (x+s)

Step-by-step explanation:

Find the y-intercept of the following equation. Simplify your answer. 25 points will mark Brainly


y = 9x − 9


y-intercept =

Answers

Answer:

- 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 = 9x - 9 ← is in slope- intercept form

with y- intercept c = - 9

Emily and Rachel had lunch at the mall. Emily ordered two slices of pizza and three cookies and her bill was $8. Rachel ordered one slice of pizza and four cookies and her bill was $9. What was the price of one slice of pizza? What was the price of one cookie?

Answers

Answer:

one slice of pizza: $1

one cookie: $2

Step-by-step explanation:

Emily: two pizzas (1+1)+three cookies (2+2+2)= 8

Rachel: one pizza (1)+four cookies (2+2+2+2)= 9

can i plz get brainilest? :)

Answer:

piza 1 buck

cooky 2 bucks

Step-by-step explanation:

i did not look at the other answer...

lol i copied the other answer

Given the coordinates for the function below which of the following are coordinates for its inverse

Answers

Answer:

Not sure but I believe it is A

Step-by-step explanation:

The coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)

The correct answer is an option (B)

What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"It is a function that serves to “undo” another function.""The inverse function of y = f(x) is [tex]x=f^{-1}(y)[/tex]. "

For given question,

We have been given a function.

We need to find the coordinates of the inverse function.

We know, the coordinates of the inverse of a function obtained by interchanging the first and second elements of each pair.

So, the coordinates of the inverse function would be, ($0.08, $1.00),

($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)

Therefore, the coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)

The correct answer is an option (B)

Learn more about inverse function here:

https://brainly.com/question/2541698

#SPJ2

Which graph represents the solution set to the following system of linear inequalities? y <= 2x + 7 y > - 1/3 * x - 2

Answers

A linear inequality seems exactly like a linear equation where the inequality sign is replaced by the equality sign.

Solution set is the dark region enclosed by both inequality equation shown in attached graph.

Given inequality are, [tex]y\leq 2x+7,y>-\frac{1}{3}x-2[/tex]

By using graphing tool, draw graph of both inequality.

The dark region enclosed by both inequality equation shown in attached graph is solution set for given equation.

Learn more:

https://brainly.com/question/21130875

Please help! Correct answer only!

Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Answer:

The probability is 0.107

Paloma ran 33/4
miles around the school track. If each lap is 1/2
mile, how many laps did she run?


Explain how to find the answer.

Answers

Answer:

16.5

Step-by-step explanation:

[tex](33/4)/(1/2)[/tex]=[tex]33/4*2[/tex]=66/4=33/2=16.5

Answer:

16 1/2 or 33/2

Step-by-step explanation:

i divided 33/4 by 1/2 which gave me 66/4 so i simplify it and it gave me 33/2 or 16 1/2

I’m desperateee help meeee!!!

Answers

Answer:

f(2)=5

q(2) =-5

p(2) = 5

f(x) and p(x) has the same output value

PLEASE HELP ME. Really need help


Find the features of the line 4y-3x = 108.

find:

x intercept

y-intercept

Answers

x intercept(y=0)

4y-3x=108

4×0-3x=108

-3x=108

x=108/-3

x=-36

y intercept(x=0)

4y-3×0=108

4y=108

y=108/4

y=27

Kathleen bought 8.3 ounces of walnuts. The next day, she used 1.7 ounces of them in a recipe. How many ounces does she have left?

Answers

Answer:

6.6 ounces left

Step-by-step explanation:

Take the amount she had and subtract the amount she used

8.3-1.7 =6.6

Answer:

She has 6.6 ounces left.

In the figure, PQ is parallel to RS. (see picture)

Which of the following angles has a measure equal to 100°?

A) a

B) b

C) c

D) d

Answers

A, because 180-80=the 100° needed

Answer:

A

Step-by-step explanation:

Because B corresponds with 80 and a line segment is 180 degrees b + a =180 and a would be 100.

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

Answer is   6

=========================================================

How to get this answer:

Locate 6 on the x axis. Draw an arrow down until you reach the f(x) curve, then move to the left until you reach the y axis. We started at x = 6 and ended on y = -6. See the diagram below for this process in action.

So basically f(6) = -6. Visually the point (6,-6) is on the f(x) curve.

Through similar steps, we see that g(5) = -5

Therefore,

4*f(6) - 6*g(5) = 4*(-6) - 6*(-5) = -24 + 30 = 6

True or false a multiple of 3 must end in 6 or 9

Answers

Answer: False

Step-by-step explanation: 18 is a multiple of 3 and doesn't end in 6 or 9.

Answer:

True

Step-by-step explanation:

Find the value of x the triangle shown below

Answers

Answer:

[tex]82[/tex]

Step-by-step explanation:

[tex]24+74+x=180[/tex]

[tex]98+x=180[/tex]

[tex]x=180-98[/tex]

[tex]x=82[/tex]

Answer:

x =82

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees

24+74+x = 180

Combine like terms

98+x = 180

Subtract 98 from each side

98+x-98= 180-98

x =82

which of the following descriptions represent the transformation shown in the image? Part 3b

Answers

Answer:  d) none of the above

Step-by-step explanation:

Start at Black Triangle: B = (0, -4)   C = (4, -1)   D = (2, -5)

End up at Red Triangle: B = (2, 0)  C = (-2, 3)   D = (0, -1)

Rotation of 180°: (x, y) → (-x, -y)

Reflection across y-axis: (x, y) → ( -x, y)

Reflection across x-axis: (x, y) → (x, -y)

Reflection across x=1: (x, y) → (2 - x, y)

[tex]a) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across y-axis}\\B:\ (0, -4)&(0, 4)&(0,4)\\C: (4, -1)&(-4,1)&(4,1)\\D: (2, -5)&(-2,5)&(2,5)\end{array}[/tex]

[tex]b) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x = 1}\\B:\ (0, -4)&(0, 4)&(2,4)\\C: (4, -1)&(-4,1)&(6,1)\\D: (2, -5)&(-2,5)&(4,5)\end{array}[/tex]

[tex]c) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x-axis}\\B:\ (0, -4)&(0, 4)&(0,-4)\\C: (4, -1)&(-4,1)&(-4,-1)\\D: (2, -5)&(-2,5)&(-2,-5)\end{array}[/tex]

None of the given options transform the black triangle onto the red triangle.

Solve 7y-6=2y+8
Show that 7/8-5/6=1/24
Show that 5/8÷7/12=1 1/14
Simplify fully v4×v7÷vt

Answers

Answer:

Please check the explanation part for more details.

Step-by-step explanation:

1. Solve [tex]7y - 6= 2y + 8[/tex]

Send all components contain [tex]y[/tex] to the left, the other components to the right:

<=> [tex]7y - 6 = 2y + 8[/tex]

(sign of  [tex]2y[/tex] is changed from negative to positive, sign of [tex]6[/tex] is changed from negative to positive)

<=> [tex]5y = 14[/tex]

Divide both sides of equation by [tex]5[/tex]:

<=> [tex]y = \frac{14}{5}[/tex]

2. Show that  [tex]\frac{7}{8} - \frac{5}{6} =\frac{1}{24}[/tex]

First, we prove that [tex]24[/tex] is least common multiple(LCM) of the denominators of [tex]2[/tex] components on the left side ([tex]8[/tex] and [tex]6[/tex]).

[tex]8 = 2^{3}[/tex]

6 = [tex]2[/tex] x [tex]3[/tex]

=> LCM = [tex]2^{3}[/tex] x [tex]3[/tex] = [tex]8[/tex] x [tex]3[/tex] = [tex]24[/tex]

Multiply the first component [tex]\frac{7}{8}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{8} = 3[/tex]

=> [tex]\frac{7}{8} = \frac{7*3}{8*3} = \frac{21}{24}[/tex]

Multiply the second component [tex]\frac{5}{6}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{6} = 4[/tex]

=>[tex]\frac{5}{6} = \frac{5*4}{6*4} = \frac{20}{24}[/tex]

=>[tex]\frac{7}{8} -\frac{5}{6} = \frac{21}{24} - \frac{20}{24} = \frac{1}{24}[/tex]

3. Show that [tex]\frac{5}{8} / \frac{7}{12} = \frac{11}{14}[/tex]

[tex]\frac{5}{8} / \frac{7}{12} =[/tex] [tex]\frac{5}{8} * \frac{12}{7} =[/tex] [tex]\frac{60}{56} =\frac{60/4}{56/4} = \frac{15}{14} = 1\frac{1}{14}[/tex]

4. [tex]\frac{v4*v7}{vt} = \frac{v}{v} * \frac{v*4*7}{t} = \frac{v*28}{t}[/tex]

Hope this helps!

:)

The cost of a hall rental for a wedding is $500. Each meal at the wedding will cost an additional $45.50
a) Write an algebraic expression equation for the total cost of the wedding.
b) Calculate how many people attended the wedding if the wedding cost totalled $3912.50.

Answers

Answer:

a) 45.50p + 500

b) 45.50p + 500 = 3912.50

p = 70

Step-by-step explanation:

p = number of people

$45.50 for a meal for each person, so:

45.50p

The constant is $500, so let's add that to the expression:

45.50p + 500

Karen is making a set of costumes for the school play using a piece of cloth. She reduces the length of the cloth she intends to use by 10%. If the initial length of the cloth that she wanted to use was 15 meters, what is the new length of the cloth she wants to use?

Answers

Answer:

The new length is 13.5 meters

Step-by-step explanation:

Here, we are interested in calculating the new length of the cloth she wants to use

What we know from the question is that she is making a reduction of 10% from an initial of 15 meters

Thus, the length she is to use can be calculated by first getting what 10% of 15 meters is

Mathematically, that would be ;

10/100 * 15 = 1.5 meters

We now subtract this from the total of 15 meters

= 15 meters - 1.5 meters = 13.5 meters

Simplify (x-5)+(X+1)

Answers

Answer:

2x - 4

Step-by-step explanation:

x - 5 + x + 1

→Add like terms (x and x, -5 and 1):

2x - 4

HELLPPPP HELPPP PLEASEE

Answers

Answer:

| 4x - 6 | = - 6

Step-by-step explanation:

The absolute value function always produces a positive value.

| 4x - 6 | = - 6 ← negative value is not possible

Answer:

The first one

Step-by-step explanation:

For the second one x is equal to 11 bc -2 minus 11 is 9 which is a solution

The third one x is equal to 0 which is a solution

The last one x is equal to 4 which is a solution

There are no solution for the first on bc it does not equal to -6

Correct me if this is wrong

Carlos is five years older than twice his sister's age. Carlos is 13.

Which equation and solution correctly identifies his sister's age?

A.) 2 x + 5 = 13; x = 4
B.) 2 x - 5 = 13; x = 9
C.) 2 x - 5 = 13; x = 4
D.) 2 x + 5 = 13; x = 9
this is a multiple choice answer

Answers

Answer:

a. ) 4

Step-by-step explanation:

13-5= 8

8/2=4

Answer:

A.) 2 x + 5 = 13; x = 4

Step-by-step explanation:

Find the volume of a cone with a radius of 20cm and a height of 15cm.

Answers

Answer:6283.19 cm cubed, assuming pi is 3.14 or it's 2000 pi

Step-by-step explanation:

V=pi r squared times h over 3

Answer:

The answer is around 6283.19

Step-by-step explanation:

I know this because the formula of the cone is V=πr^2h/3 so substituded the known value to get this answer.

Pi equal 3.14

Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume

Answers

See attachment below
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