Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2/3 x=9-2(-1/3x+3)

infinitely many solutions
no solution
cannot be determined
one solution

Given:

The equation of a line is:

[tex]y=x+1[/tex]

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

[tex]y=x+1[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]m=1[/tex]

Slope of the given line is 1.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.

The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-4)=1(x-3)[/tex]

[tex]y+4=x-3[/tex]

Subtracting 4 from both sides, we get

[tex]y=x-3-4[/tex]

[tex]y=x-7[/tex]

Therefore, the equation of the required line is [tex]y=x-7[/tex].

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

Steps of construction:

(For Diagram please find in attachment)

Answer:

why arent you doing the quiz yourself do it yourself thats cheating.

Step-by-step explanation:

Answer:

c =2

Step-by-step explanation:

4.5c/4.5=9/4.5

c =2

Answer:

[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]

[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]

[tex](e)\ \sqrt 8 <2.9[/tex]

[tex](f)\ \sqrt5 <4.5 < 5[/tex]

Step-by-step explanation:

Required

Which are true

[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]

Take square root of 5

[tex]2.2 <2.3 < 56[/tex] --- This is true

[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]

Take square root of 5

[tex]2.2 <2.4 < 56[/tex]  --- This is true

[tex](c)\ 7.4 < 5 <5.5[/tex]

This is false because [tex]7.4 > 5[/tex]

[tex](d)\ \sqrt 3 <3 <3[/tex]

This is false because [tex]3 = 3[/tex] not [tex]3 < 3[/tex]

[tex](e)\ \sqrt 8 <2.9[/tex]

Take square root of 8

[tex]2.8 <2.9[/tex] --- This is true

[tex](f)\ \sqrt5 <4.5 < 5[/tex]

Take square root of 5

[tex]2.2 <4.5 < 5[/tex] --- This is true

Answer:

100 dimes and 50 nickels

Step-by-step explanation:

5×50=2.00

10×100=10.00

Answer:

14. (8,9,10)

15.no(A)

this is the answer

Answer:

y=13/4 x -21

or in khan 13/4x - 21

GIMMIE BRAINLIEST OR SOMETHING

Work:

Slope = 5-(-8)/(8-4)

=13/4

So the equation is y=13/4x + b

plug it in and the equation is

y=13/4 x -21

Answer:

13/4 x-21

Step-by-step explanation:

:D

Answer: slope is -3/2

Step-by-step explanation:

(-2,5) (4,-4)

Use the slope formula y2-y1/x2-x1

5-(-4)/-2-4 = -3/2

Answer:

The slope of the line containing (-2,5) and (4,-4) is [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

Answer:

11.70cans ≈ 12cans

Step-by-step explanation:

According to question,

Now,First we have to find the total surface area of cylinder

total surface area of cylinder=2×π×r² + 2×π×r×h

Put values,we get

⇒2×3.14×3.4² + 2×3.14×3.4×24

⇒585.0448 square meters

Now,one can of paint covers 50 square meters.

So,To paint 585.0448 m² Area We need 585.0448 / 50 = 11.70Cans

Total Cans needed is 11.70cans ≈ 12cans .

Answer:

mean=21.7

median=23

mode=12

Step-by-step explanation:

Mean=37+12+32+23+12+40+11+12+10+23+27/11

=21.7(3 s.f)

Median: 10,11,12,12,12,23,23,27,32,37,40

Median=23

Mode=12

Answers:

Refer to the diagram below.

The explanation for each part is below as well.

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

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s  because A = B is the same as B = A.

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

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

i = 10

If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

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

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

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

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

12i = -132

i = -132/12

i = -11

As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.

The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.

Answer:

x = - 72

Step-by-step explanation:

Given

- 16 = [tex]\frac{x}{4}[/tex] + 2 ( subtract 2 from both sides )

- 18 = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

- 72 = x

Answer is = - 72

It's a Right answer....

Mark me as brainliest....

Answer:

The time would be 4:59

Step-by-step explanation:

Answer:

(- 6, - 36 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = x² + 12x ← is in standard form

with a = 1, b = 12, c = 0 , then

x = - [tex]\frac{12}{2}[/tex] = - 6

Substitute x = - 6 into f(x) for corresponding value of y

f(- 6) = (- 6)² + 12(- 6) = 36 - 72 = - 36

vertex = (- 6, - 36 )

Answer:

A: (-6, -36)

Step-by-step explanation:

This should be the right answer on edge,

please correct me if I'm wrong.

Work Shown:

m = (y2-y1)/(x2-x1)

m = (7-2)/(11-3)

m = 5/8

m = 0.625

m = 0.6

Answer:

line L is not parallel to AB

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 )

Given

3y = 4 - 2x ( divide terms by 3 )

y = [tex]\frac{4}{3}[/tex] - [tex]\frac{2}{3}[/tex] x ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Calculate slope of AB using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(1, 3) and (x₂, y₂ ) = B(- 2, - 1)

[tex]m_{AB}[/tex] = [tex]\frac{-1-3}{-2-1}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes

Since the slopes are not equal then the lines are not parallel

Answer:

10

Step-by-step explanation:

Top angle of tri:

180 - 115 =

65

So:

65+4K+5+6k+10 = 180 (angles in tri add to 180)

Solve:

80+10k = 180

10k = 100

K = 10

Answer:

10

Step-by-step explanation:

y = 180 - 115

y = 65

Total of angles in a triangle is 180

(4k + 5) + (6k + 10) + 65 = 180

combine like terms

10k + 80 = 180

Subtract 80 from both sides

10k = 100

Divide both sides by 10

k = 10

Answer:

36.87°

Step-by-step explanation:

Given the right angle triangle :

To obtain the value of Cosθ ; we use the trigonometric relation :

Cosθ = Adjacent / Hypotenus

The adjacent angle isn't given :

Opposite = 9 ; hypotenus = 15

Adjacent = √(hypotenus ² + opposite ²)

Adjacent = √(15² - 9²)

Adjacent = √(225 -81)

Adjacent = √144 = 12

Hence,

Cos θ = 12/15

θ = Cos^-1(12/15)

θ = 36.87°

Answer:

[tex]192.27\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of sector with radius [tex]r[/tex] and measure [tex]\theta[/tex] is give by [tex]A=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.

What we're given:

Therefore, the area of the shaded regions (two sectors) is:

[tex]A=2\cdot 9^2\pi\cdot \frac{136}{360}=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}[/tex]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required data are not given.

I will use the following data as an illustration of how to calculate median and range.

We have:

[tex]x: 11, 13, 14, 15, 18, 20[/tex]

Calculate range

Identify the highest and the least

[tex]Highest = 20[/tex]

[tex]Least = 11[/tex]

So, the range is:

[tex]Range = Highest -Least[/tex]

[tex]Range =20-11[/tex]

[tex]Range =9[/tex]

Calculate the median

The number of data we are using is 6 (i.e. even).

So, the position of the median item is:

[tex]Median =\frac{1}{2}(n+1)[/tex]

[tex]Median =\frac{1}{2}(6+1)[/tex]

[tex]Median =\frac{1}{2}*7[/tex]

[tex]Median =3.5th[/tex]

A decimal result implies that the median is the mean of the integer values before and after the result.

In this case, the median is the mean of the item at 3rd and 4th positions.

So:

[tex]Median = \frac{14+15}{2}[/tex]

[tex]Median = \frac{29}{2}[/tex]

[tex]Median = 14.5[/tex]

Answer:

ssueuwuwiaiwaiaiiaiw

Answer:

integers are { 3 , 4 , 5 }

Step-by-step explanation:

- 1 < 2x - 5 ≤ 5

- 1 + 5 < 2x - 5 + 5 ≤ 5 + 5                           [ adding by 5 ]

4 < 2x + 0 ≤ 10

4 < 2x ≤ 10

2 < x ≤ 5                                                     { divide by 2 ]

Therefore, integers are { 3 , 4 , 5 }

Answer:

x = 30 ml of 10%

50 - x = 20 ml of 15%

Step-by-step explanation:

0.10x + 0.15(50 - x) = 0.12(50)

distribute

0.10x + (7.5 - 0.15x) = 6

Combine like terms

-0.05x = -1.5

Divide both sides by -0.05

x = 30 ml of 10%

50 - x = 20 ml of 15%

Answer:

C

Step-by-step explanation:

Difference means subtraction. That makes B incorrect.

D is wrong because we have no way of knowing if g and h are squares.

A is wrong because the numerical numbers (2 and 6) are not perfect squares. Even if you take out a 2 you are not left with numbers that are prefect squares.

That leaves with C which is the correct answer. The literals are perfect squares and so are the numbers.

Answer:

C

Step-by-step explanation:

Answer:

There was no van stated in the question, but if the van was the truck, the answer would be $50.

Step-by-step explanation:

We can split the problem into 2 parts. First, there is a flat fee of $30 to rent the truck.

Now, we can calculate the cost to rent the truck for 80 miles excluding the flat fee by multiplying the values together.

$0.25/mile * 80 miles = $20

Now, we can add the values up.

This will give us: $30 + $20 = $50

Answer:

Image point → (-4, 0)

Step-by-step explanation:

Coordinate of a point → (0, 1)

Rule for the transformation has been given as,

D₄ o R₉₀

First use R₉₀ → Rotation of the point by 90° counterclockwise

Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,

(x, y) → (-y, x)

(0, 1) → (-1, 0)

Further use D₄ → Dilation of the point by a scale factor of 4 about the origin

If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,

(x, y) → (kx, ky)

By applying this rule,

(-1, 0) → (-4, 0)

Therefore, image point will be → (-4, 0)

Answer:

the answer is B

Step-by-step explanation: