What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)?

Answers

Answer 1

Step-by-step explanation:

Given line y=1/3x-4

slope of given line m=1/3

Slope of required line :

m=1/3

As lines are parallel then slope of lines are equal.

Using point slope form:

y-y1=m(x-x1)

p(x1,y1)=(9,8)

y-8=1/3(x-9)

3y-24=x-9

x-3y-9+24=0

x-3y+15=0

Note:if you need to ask any question please let me know.


Related Questions

from 8 abc subtract abc. from 8 abc subtract 8

Answers

7abc and 8abc-8 are the answers.

In a survey of mobile and telephone, it was found that 200 people had telephone, 25
had both, 135 did not have telephone and 300 did not have mobile.
i. How many people participated in the survey?
ii. How many people had mobile only

Answers

Answer:

a)660

b)135

Step-by-step explanation:

a)200+25+135+300=660

b) 135 because since 135 do not have telephone, they will have mobile instead.

Hope this helps! Thanks.

please solve this question i need help​

Answers

Answer:

a=50

b=130

c=130

Step-by-step explanation:

2a-50=a(vertically opposite angles)

a=50

a+c=180(angles on straight line)

50+c=180

c=180-50=130

b=c(vertically opposite angles)

b=130

Matrix addition is shown here.
([3,-2,3],[-5,2,11])=([-5,-4,4],[-4,2,-1])=([m,-6,-2],[-9,7,5])
Enter the value of s

Answers

Answer:

The value of s=10

Step-by-step explanation:

11+(-1)=10

If there are 2.54 centimeters in 1 inch, how long in inches is a meter stick? Hint: There are 100 centimeters in 1 meter. Round your answer to the nearest hundredth.

Answers

Answer:

i dont know that well but i do know 1 meter is roughly 2ft, so id say about 25.5 inches

0.01 inch is the  length of a meter stick.

To find the length of a meter stick in inches, we can use the conversion factor:

1 meter = 100 centimeters

1 inch = 2.54 centimeters

We can set up the proportion:

1 meter / 100 centimeters = x inches / 1 inch

Cross-multiplying:

1 meter × 1 inch = 100 centimeters × x inches

x = (1 meter × 1 inch) / (100 centimeters)

x = 1 inch / 100

x = 0.01 inch

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"Write two equations: one parallel, one perpendicular to (5,-2) y= 1/5x-3
Write in the form y=mx±b,y=mx±b (first the parallel, then the perpendicular)"

Answers

Answer:

For parallel:

gradient is 1/5

[tex]y = mx + c[/tex]

consider (5, -2):

[tex] - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3[/tex]

[tex]{ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}[/tex]

For perpendicular:

gradient, m1:

[tex]m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5[/tex]

gradient = -5

[tex]y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23[/tex]

[tex]{ \boxed{ \bf{equation :y = - 5x + 23 }}}[/tex]

Answer:

Parallel: [tex]y=\displaystyle \frac{1}{5}x-3[/tex]

Perpendicular: [tex]y=-5x+23[/tex]

Step-by-step explanation:

Hi there!

What we must know:

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slopePerpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, -6/7 and 7/6)

Finding the Parallel Line

[tex]y=\displaystyle \frac{1}{5} x-3[/tex]

Given this equation, we can identify that its slope (m) is [tex]\displaystyle \frac{1}{5}[/tex]. Because parallel lines always have the same slope, the slope of the line we're currently solving for would be [tex]\displaystyle \frac{1}{5}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle \frac{1}{5}x+b[/tex]

Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:

[tex]-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b[/tex]

Therefore, the y-intercept is -3. Plug this back into [tex]y=\displaystyle \frac{1}{5}x+b[/tex]:

[tex]y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3[/tex]

Our final equation is [tex]y=\displaystyle \frac{1}{5}x-3[/tex].

Finding the Perpendicular Line

[tex]y=\displaystyle \frac{1}{5} x-3[/tex]

Again, the slope of this line is [tex]\displaystyle \frac{1}{5}[/tex]. The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

To find the y-intercept, plug in the point (5,-2) and solve for b:

[tex]-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b[/tex]

Therefore, the y-intercept is 23. Plug this back into [tex]y=-5x+b[/tex]:

[tex]y=-5x+23[/tex]

Our final equation is [tex]y=-5x+23[/tex].

I hope this helps!

Given that LMN and PQR are
complementary angles, find the measures
of the angles if the m LMN = 8x + 1 and
the m PQR = 2x + 9.

Answers

Answer:

∠ LMN = 65° , ∠ PQR = 25°

Step-by-step explanation:

Complementary angles sum to 90°

∠ LMN + ∠ PQR = 90° , that is

8x + 1 + 2x + 9 = 90

10x + 10 = 90 ( subtract 10 from both sides )

10x = 80 ( divide both sides by 10 )

x = 8

Then

∠ LMN = 8x + 1 = 8(8) + 1 = 64 + 1 = 65°

∠ PQR = 2x + 9 = 2(8) + 9 = 16 + 9 = 25°

Choose the correct option

Answers

Answer:

(c)

Step-by-step explanation:

for the volume of a box all three dimensions must be multiplied with each other to create a cubic result.

3x²y × 4y²z × 5z²x

we need to combine the elements belonging to each other = that can be combined for simplification :

the constants, the x, the y and the z.

3×4×5 = 60

x²×x = x³

y×y² = y³

z×z² = z³

so, in total, that multiplication result is

60x³y³z³

therefore, (c) is the right answer

Answer:

volume of a retagular box whose adjacent egged 3x²y , 4y²z and 5z²x respectively is

( C ) 60x³y³z³

Step-by-step explanation:

hope it's help

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

simplify the expression 44=5g-8-g

Answers

G is 13
If you want I can show steps

Answer:13

Step-by-step explanation:

In the figure below, which answer choice correctly identifies the name of two rays?

Answers

Answer:

plz mark me as brainlist

Step-by-step explanation:

b)JK and KL

Answer:

JK AND KL

Step-by-step explanation:

4. 2) 836
does anyone know this?

Answers

Answer:

418

Step-by-step explanation:

2) 836 = 836/2

=418

•°•2) 836=418

Answer:

836/2=418,Hope it helps.

Help me please! What shape is it?

Answers

it is a square has 4 equal sides and a pentagon has 5 so the answer is


SQUARE

You're a square !!!1!!!!!!!!11

after a 20% reduction, you purchase a television for $336. What was the television's price before the reduction?

Answers

the price would be $403.20 before reduction and you multiple $336 by 1.2 to figure this out

PLZZ HELP ME (50 POINTS)

Answers

Answer:

x = w / 57r is the answer

Is [tex] \frac{1}{ \sqrt{5} } [/tex] a rational or a non-rational number​

Answers

Answer:

yes it is a rational number..

It’s non-rational and it’s irrational, Don’t trust me? Simplify
1/root 5 = root 5/5(multiplication of root 5 on numerator and denominator

In a charity triathlon, Mark ran half the distance and swam a quarter of the distance. When he took a quick break to get a drink of Gatorade, he was just starting to bike the remaining 24 miles. What was the total distance of the race?

Answers

Ran 1/2 - 48 m
Swam 1/4 - 24m
Bike 1/4 - 24m

24x4= 80+16= 96

The race was 96 miles long

The total distance of the race is D = 96 miles

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let's denote the total distance of the race as "d" miles.

According to the given information, Mark ran half the distance and swam a quarter of the distance. This can be expressed as:

Distance Mark ran = d/2 miles

Distance Mark swam = d/4 miles

After Mark's quick break, he was just starting to bike the remaining 24 miles. Since he has already completed running and swimming, the total distance he has covered at that point is:

And this distance is equal to 24 miles, as given in the problem:

d/2 + d/4 + 24 = d

On simplifying the equation , we get

( 3/4 )d + 24 = d

Subtracting ( 3/4 )d on both sides , we get

( 1/4 )d = 24

Multiply by 4 on both sides , we get

d = 96 miles

Hence , the total distance of the race, denoted by "d", is 96 miles

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1- Operations with Fractions

2 1/2 - 5/3

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{5}{6}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2} -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

a cylindrical barrel contains 42 gallons of oil the diameter is 18 inches. determine the radius of a barrel in centimetres

Answers

diameter = 2*Radius
18 = 2*radius
Radius =18/2 =9 inches

What’s the answer for 5g=20

Answers

g=4 because you have to divide both sides by 5 to figure out what g equals

Find the area of the sector of a circle with diameter 32 feet and an angle of 7Pi/4
radians.Round your answer to four decimal places.

Answers

Answer:

703.7168 ft²

Step-by-step explanation:

Use the sector area formula, a = 1/2r²θ

If the diameter is 32 feet, then the radius is 16 feet.

Plug in the radius and angle measure into the formula, and solve:

a = 1/2r²θ

a = 1/2(16)²(7[tex]\pi[/tex]/4)

a = 703.7168

So, the area of the sector is 703.7168 ft²

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):



Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Answer:

see below

Step-by-step explanation:

Part A

We can shift f(x) to the left or shift it up

Part B

f(x+k) for a shift to the left

f(x) + k for a shift up

Part C

Looking at shifting f(x) to g(x) by going left, we are shifting 6 units to the left

f(x+6) will shift f(x) 6 units to the left

g(x) = f(x+6)

We can all shift f(x) up, we can shift up 18 units

f(x) +18 will shift the function up 18 units

g(x) = f(x) +18

A survey was conducted to see which of four major sports American college students prefer to watch: baseball, basketball, football, or soccer. Of those surveyed, 53% said they prefer football, 26% chose basketball, and 15% preferred baseball. If there were 1,000 American college students in a room, how many would you expect to prefer soccer?

Answers

Answer:

Step-by-step explanation:

53+26+15=94

94-100=6

So I'm just gonna assume that 6% of people prefer to watch soccer.

Now to solve how many people out of 1000 would watch soccer we'd have to multiply 1000 by 0.09 which gives us 90.

So 90 people out of 1000 would prefer to watch soccer.

brainiest to whoever right

Answers

Answer:

The area is 7.5 square units

R varies directly as S and inversely as T. if R = 8 when S = 4 and T = 3, then R is equal to ​

Answers

Answer:

R = 6S/T

Step-by-step explanation:

R ∝ S/ T

》R = kS/ T

》k = RT/ S

If R = 8 when S = 4 and T = 3

then, k = (8 × 3)/ 4

k = 6

∴ R = (6 × S)/ T

what is the 30th square number

plz tell the answer​

Answers

Answer:

900

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

Answer:

900

Step-by-step explanation:

30 square is like 30×30=900

Please answer maths question! Photo is easier to read

Answers

Answer:

Step-by-step explanation:

152

Miguel's coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Miguel $5.95 per pound, and Type B coffee costs $4.65 per pound. This month's blend used three times as many pounds of Type B coffee as Type A, for a total cost of $796.00. How many pounds of Type A coffee were used?

Answers

Answer:  40 lb of Type A

Step-by-step explanation:3 pounds of Type B and 1 pound of Type A will give 4 pounds of mix at a cost of ...  3($4.65) +($5.95) = $19.90Then $796 is the cost equivalent of 796/19.90 = 40 times that 4-lb mix. Since each instance of that 4-lb mix has 1 lb of Type A, $796 worth of blend has 40 lb of Type A coffee._____Additional commentIf you'd like to do this using a variable, you can let 'a' represent the amount of Type A coffee used. Then (3a) is the amount of Type B, and the total cost is ...  5.95a +4.65(3a) = 796  19.90a = 796 . . . . . . . . simplify  a = 796/19.90 = 40 . . . as above___There will be 120 lb of Type B coffee in that amount of blend.

The amount of Type A coffee that were used is 40 pounds.

What are word problems in Algebra?

Word problems in Algebra can be solved by correctly identifying the parameters given and the one(s) meant to be solved with the appropriate use of arithmetic operations.

From the given information;

Type A coffee costs Miguel $5.95 per poundType B coffee costs $4.65 per pound.

For this month, the equation can be expressed as:

A + 3A

Thus;

5.95A + 3(4.65)A = 796.005.95A +13.95A = 796.0019.9A = 796.00A = 796.00/19.9A = 40

Therefore, we can conclude that the amount of pounds of type A coffee that were used is 40 pounds.

Learn more about word problems here:

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Need help with solving please

Answers

Answer:

x=8

Step-by-step explanation:

4 ^(1/2x) = 256

Rewriting 256 as a power of 4

4 ^(1/2x) = 4^4

Since the bases are the same, the exponents are the same

1/2x = 4

Multiply each side by 2

1/2x *2 = 4*2

x=8

Tom and Larry are food inspectors at a cookie making company. Tom tests every 8th batch of dough for fat percentage. Larry tests every 28th batch of dough for carbohydrate percentage. If they both start working at the same time, which batch will be the first that they both test?

Answers

9514 1404 393

Answer:

  56th batch

Step-by-step explanation:

The least common multiple of 8 and 28 is 8·7 = 56. Tom and Larry will both test the 56th batch.

__

There are a couple of ways to find the least common multiple (LCM) of a pair of numbers.

1. Factor them and use the highest power of the unique factors.

  8 = 2³

  28 = 2²×7

Unique factors are 2 and 7. Their highest powers are 3 and 1, so the LCM is ...

  (2³)(7) = 56

__

2. Divide the product by the greatest common divisor (GCD). Here, both numbers are divisible by 4:

  8 = 4·2

  28 = 4·7

So, the LCM is 8×28/4 = 56.

Answer:

Step-by-step explanation:

8=2x2x2

28=2x2x7

lcm of 8,28= 56

How would you write 5x5x5x5x5x5 in exponential form

Answers

Answer:

5^6

Step-by-step explanation:

This is because the exponent is how many numbers are in the multiplication equation, in this case, five. Because there are six five's being multiplied together, our exponent is six.

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