PLEASEEEEE HELPPPPP!!

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.

Rewrite;

2x - 3y = 24

-3y = -2x + 24

Divide both sides by -3

y = ⅔x - 8

Thus, the slope of 2x - 3y = 24 is ⅔.

Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.

Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.

Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Therefore:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

Rewrite in slope-intercept form.

Multiply both sides by 3

3(y + 7) = 2(x + 3)

3y + 21 = 2x + 6

3y = 2x + 6 - 21

3y = 2x - 15

Divide both sides by 3

y = ⅔x - 5

Answer:

x = 3, x = [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

(a)

The first step is to subtract 23x from both sides, that is

7x² - 23x + 6 = 0 ← in standard form

(b)

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 7 × 6 = 42 and sum = - 23

The factors are - 21 and - 2

Use these factors to split the x- term

7x² - 21x - 2x + 6 = 0 ( factor the first/second and third/fourth terms )

7x(x - 3) - 2(x - 3) = 0 ← factor out (x - 3) from each term

(x - 3)(7x - 2) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]

Answer:

y=-12+1

hopes this hwlps

Answer:

y=-12x+6

Step-by-step explanation:

There is enough information to write this equation in slope-intercept form.

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

m - slope

b - y-intercept

The given slope is -12 and the given intercept is 6.

[tex]y=mx+b\rightarrow \boxed{y=-12x+6}[/tex]

Hope this helps.

Answer:

I think A  but if im wrong tell me sorry if it wrong

Step-by-step explanation:

Answer:

8 is 2 answers. the answer is A

Answer: Andy completed 7 problems.

Step-by-step explanation:

Answer:

!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

[tex] 48\pi \:m/min[/tex]

Step-by-step explanation:

Diameter = 48 m

Therefore radius r = 48/2 = 24 m

[tex]Area \: of \: circular \: oil \: slick \\ A = \pi {r}^{2} \\ differentiating \: w \: r \: to \: t \: on \: \\ both \: sides \\ \\ \frac{dA}{dt} = \frac{d}{dt} (\pi {r}^{2} )\\ \\ \frac{dA}{dt} =\pi \frac{d}{dt} {r}^{2} \\ \\ \frac{dA}{dt} =\pi \times 2{r}\\ \\ \frac{dA}{dt} =2\pi {r} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =2\pi \times {24} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =48\pi \: m \: per \: min[/tex]

Answer:

The scale factor is 152,064:1

Step-by-step explanation:

Scaling

The real distance of a race track in Pike is 2.4 miles.

One mile is equivalent to 63,360 inches, thus 2.4 miles = 152,064 inches.

On a map, that very same distance is represented as 1 inch. Thus the scale factor is 152,064:1

This means every inch on the map is equivalent to 152,064 inches on the race track.

Answer:

1; 180

2: 180

3:155

Step-by-step explanation:

Answer:

The temperature at 5 am is 16 degrees below zero.

Step-by-step explanation:

The temperature at 2 am is 9 degrees below zero:

[tex]T_{2_{am}} = -9 [/tex]

Since at 5 am the temperature had dropped by an additional 7 degrees, we have:        

[tex]T_{5_{am}} = T_{2_{am}} - 7 [/tex]      

[tex]T_{5_{am}} = -9 - 7 = -16 [/tex]

Therefore, the temperature at 5 am is 16 degrees below zero.

I hope it helps you!      

Answer:

[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]

[tex]\dfrac{9 \cdot x + 10}{3} = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]

Therefore;

[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]

Step-by-step explanation:

Given that we have;

[tex]x^2 - 2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} }[/tex]

[tex]x^2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} } + 2 = \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]

[tex]x^2 = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]

[tex]x = 3 ^{-\frac{1}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )^{\frac{1}{2} }[/tex]

[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]

[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]

[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]

[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]

[tex]\dfrac{9 \cdot x + 10}{3} = 3 \cdot x + \dfrac{10}{3} = 3 \times \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } +\dfrac{10}{3} = \dfrac{ 3 ^{\frac{5}{3} } + 3 }{3 ^{\frac{1}{3} } } + \dfrac{10}{3}= \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } }[/tex]

[tex]\dfrac{9 \cdot x + 10}{3} =\dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } } = \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{5}{3} }+ 10 }{3 } } } = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]

Therefore;

[tex]x^3 = \dfrac{9 \cdot x + 10}{3}[/tex]

[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]

Answer:

(A) Let a represent the number of hours Cassie needs to work

(B) The inequality is 10 × a + 30 ≥ 140

(C) a ≥ 11

(D) Cassie needs to work babysitting for her neighbor for at least 11 hours to be able to buy the graphing calculator

Step-by-step explanation:

The least amount Cassie needs for the graphing calculator = $140

The amount Cassey currently have saved = $30

The amount her neighbor offers for her to babysit = $10 per hour

(A) The definition of the variable is given as a = The number of hours Cassie needs to work

(B) The inequality that defines the situation is 10 × a + 30 ≥ 140

(C) Solving the inequality gives;

10 × a + 30 ≥ 140

10 × a  ≥ 140 - 30

∴10 × a  ≥ 110

a ≥ 110/10

∴ a ≥ 11

Which gives;

The number of hours Cassie needs to work = a ≥ 11 hours

(D) The solution means that Cassie needs to babysit for her neighbor for at least 11 hours to be able to buy the graphing calculator.

Answer:

3.514 degrees per hour

Step-by-step explanation:

To find change per hour, you find the slope, which is change in output (temperature) over change in input (hours)

y2-y1 / x2-x1

-12.3 - 0 / 3.5

3.514 degrees per hour

Answer: He is Incorrect, It's 38

Work: For this question, I did the Cross-Product Method. The Cross Product Method is when you solve equation via to fractions. With the CPM, One one side of the fraction, I had x / 20 (Twenty being the whole number) and on the other side, I had 190/100 (190 being the percent) After setting this up, I made the equation. 190 times 20 is 3800, and the other multiplication is 100 times x which is 100x. So, the new equation is 3800 = 100x. I divided both sides by 100, and the answer is 38 = x

I hope this helps, and Happy Holidays! :)

Answer:

No, Marcus is not correct. He converted the percent to a decimal correctly and he multiplied correctly, but he put the decimal in the wrong place in the answer. There should be two decimal places in the answer, so the answer should be 38.

Step-by-step explanation:

I took the assingment in edge 2020

Answer:

-70 so A

Step-by-step explanation:

Answer:

D) 70

Step-by-step explanation:

Here is the correct mathematical way of find a distance between two points on the number line.

Take the absolute value of the difference of their coordinates.

If the points on a number line correspond to coordinates a and b, the distance between the points is

|a - b|

Your problem:

|a - b| = |-57 - 13| = |-70| = 70

The distance is 70.

Answer: D) 70

Answer:

y=x

Step-by-step explanation:

using slope intercept form and slope formula so y=x

Answer:

y=mx+c

x co-ordinates is 5 & -2

y co-ordinates is 5 & -2

m is the gradient so you have to do change in y over change in x (basically the difference in the y axis )

so change in y : (-2)-5 = -7

change in x: (-2)-5= -7

so divide this and you get 1 which is m

Now the equation is y= 1x+C but x=1 theoretically

therefore all you do now is substitute the values onto the equation to find C. ALWAYS USE THE SAME SET OF COORDINATES.

5=1(5)+ C

5=5+C

C= 0

equation is y=x

Step-by-step explanation:

Answer:

A: 0

B: pi/3

E: 5pi/3

Step-by-step explanation:

The solution to the trigonometric equation is 0 , π/3 , 5π/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

sin ( x/2 ) + cos ( x ) - 1 = 0

sin ( x/2 ) - ( 1 - cos ( x ) ) = 0

On further simplification , we get

( 1 - cos ( x ) ) = 2sin² ( x/2 )

So , sin ( x/2 ) - 2sin² ( x/2 ) = 0

Taking sin ( x/2 ) as the common factor , we get

sin ( x/2 ) ( 1 - 2sin ( x/2 ) ) = 0

So , the solutions to the equation are

sin ( x/2 ) = 0

x = 0 , 2π

And , ( 1 - 2sin ( x/2 ) ) = 0

sin ( x/2 ) = 1/2

x = π/3 , 5π/3

Hence , the solutions are x = 0 , π/3 , 5π/3

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ2

Answer:

2+2=4

Step-by-step explanation:

Imagine 2 lItTlE fishies in a pond, 2 more little FIsHiEs swim next to them, how many FisHiEs are in a group? Four WiDdlE fiShies are in the pond. Good LuCk

Answer:

Option A

Step-by-step explanation:

for right angle triangle a²+b²= c²

60²+80²= 10000

√10000= 100

hope it helps!

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The answer A.

A as in Apple.

Answer:

-1/2 is m and 3 is b

Step-by-step explanation:

-1/2 is the slope and 3 is the y-intercept,

Answer:

Step-by-step explanation:

The slope m is -1/2

The y-int b is 3

Since the slope is negative the graph should start from the top left and should go down all the way down to the bottom right. The line should also pass the point (0,3) since 3 is the y-int

Answer:

x = 1

Step-by-step explanation:

Answer:

C. Positive 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

because we find the reciprocal and 9 divided by -3 and 8 divided by -4

9 divided by -3 is  -3 and 8 divided by -4 is -2

so -3 times -2 is 6

Answer:

slope: 7/2

y-int: (0, -5)

(0, -5) (10/7, 0)

Answer:

Hope This Helps!!

it's not perfect.. but we get the idea...

Answer:

its 44

Step-by-step explanation:

180=46+90+x

180=136+x

44=x