What is the value of 3x2+y3 when x=2 and y=−2?

Answer:  y=-7x + 37

Step-by-step explanation:

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

9 = -7(4) + b

9 = -28 + b

+28  +28

b = 37  

The equation will be y= -7x + 37

The equation of line passes through the point (4, 9) will be;

⇒ y = - 7x + 37

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (4, 9).

And, The parallel line is,

⇒ y = - 7x - 9

Now,

Since, The equation of line passes through the point (4, 9).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = - 7x - 9

m = dy/dx = - 7

m = - 7

Thus, The equation of line with slope - 7 is,

⇒ y - 9 = -7 (x - 4)

⇒ y - 9 = - 7x + 28

⇒ y = - 7x + 28 + 9

⇒ y = - 7x + 37

Therefore, The equation of line passes through the point (4, 9) is,

⇒ y = - 7x + 37

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The image point of A ( -7 , 4 ) after a translation of left by 3 units and up by 5 units is ( -10 , 9 )

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the point be A ( x₁ , y₁ ) be = A ( -7 , 4 )

Now , the translation of point A ( -7 , 4 ) by left 3 units is

A ( -7 - 3 , 4 )

Now , the new point after the translation by left 3 units

A' ( -10 , 4 )

And the translation of point A' ( -10 , 4 ) by up 5 units is

A'' ( -10 , 4 + 5 )

Now , the new point after the translation up by 5 units is

A'' ( -10 , 9 )

So , the image after the translation of left by 3 units and up by 5 units is

A'' ( -10 , 9 )

Hence , the image after translation is is A ( -10 , 9 )

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Answer:

22.3

Step-by-step explanation:

divide 13/7 = 1.86

multiply 1.86x12 = 22.3

Answer:

1,006

Step-by-step explanation:

Answer:

1006

Step-by-step explanation:

_plexstyx

Answer:

9.5

Step-by-step explanation:

13-x-x=-6

13+6=2x

19=2x

9.5=x

Answer:9

Step-by-step explanation:

13 - 9 - 9

Answer: Every 12 months (aka once a year)

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

Explanation:

List out the multiples of 4 and 3

Multiples of 4 = {4, 8, 12, 16, 20, 24, ...}

Multiples of 3 = {3, 6, 9, 12, 15, 18, 21, 24, ...}

The terms in bold are the common multiples between the two lists. The smallest or lowest common multiple (LCM) is 12. Every 12 months, or every 1 year, Tiki gets her hair cut and a new shirt in the same month.

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A shortcut to find the LCM is to multiply the values 4*3 = 12. This only works when the GCF of the two original numbers is 1.

Answer: The next two terms are 33 and 39

Step-by-step explanation:

9,15,21,27    

First determine how you get from one value to the other.

To get from 9 to 15 you add 6.

To get from 15 to 21 you add 6 to 15.

And to get from 21 to 27 you add 6 to 21  

So to get to the next term add 6 and another 6 to the value you get.

27 + 6 = 33

33 + 6 = 39

Answer:

it should be true well it has to be

Answer:

- 4/5

Step-by-step explanation:

Step 1:

n + 7/10 = - 1/10

Step 2:

n = - 1/10 - 7/10

Answer:

n = - 4/5

Hope This Helps :)

Answer:7³=343

343 × M = 343m

Step-by-step explanation:

7×7×7=343

Answer:

y=3/4x+45

Step-by-step explanation:

Answer:

the equation is 1/3x + 2

Step-by-step explanation:

Let us take ratio constant as 'x'

Therefore ratio of angles

3x:5x:9x:13x

Sum of interior angles of quadrilateral is 360 degree.

3x+5x+9x+13x=sum of interior angles of quadrilateral

=>3x+5x+9x+13x=360

=>30x=360

=>x=12

Answer:

5/6 and 75 1/3%

Step-by-step explanation:

8 1/3 = 25/3

25/3 pages of a book in 10 minutes

Multiply both numbers by the reciprocal of 10, which is 1/10

25/3 x 1/10 = 25/30 = 5/6

So, Charlotte reads 5/6 pages of a book in 1 minute.

Which is equal to 75 1/3%

hope this helps! :)

Answer:

46

Step-by-step explanation:

Answer:

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes

Step-by-step explanation:

The given parameters are;

The time it takes through the streets to drive to the nearest bowling alley = 45 minutes

The speed of driving through the streets = 30 miles per hour (mph)

The speed of driving through the freeway to the bowling alley = 65 mph

From the speed of driving through the streets and the time taken we have;

The formula for speed, S, is S = Distance/Time

Therefore, 30 mph = Distance/45 minutes

Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour

30 mph = Distance/45 minutes = Distance/(3/4 hour)

30 mph = Distance/(3/4 hour)

Distance = 30 mph × 3/4 hour = 22.5 miles

Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;

Time = Distance/Speed

The speed through the freeway = 65 mph while the distance remain 22.5 miles

Therefore;

Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.

Answer:

-23 31/40

Step-by-step explanation:

Answer:

15 DEGREES

Step-by-step explanation:

OK SO BASICALLY,  USING THE EXTERIOR ANGLES THEOREM, YOU FIND THAT 9x = 5x + something. That something is 4x so:

9x = 5x + 4x

THEN YOU FIND THAT 8x = 5x + something. That something is 3x so:

8x = 5x + 3x

4x and 3x and 5x are the interior angles of the triangle (ABC)

Then you use triangle theorem and get 4x + 3x + 5x = 180

Then: 12x = 180 and so you get x = 15

Answer:

Step-by-step explanation:

Part A;

[tex]\frac{3.9\times10^3^3}{1} = \frac{x}{1.44\times 10^7} \\Cross\Multiply\\x = 3.9\times 10^3^3 \times 1.44 times 10^7\\\\x = 6.045\times 10^4^0[/tex]

Part B ;

[tex]1.435 \times 10^3 \:mm = 1.4\m\\1.435 \times 10^-^3\: mm = 0.001435\m[/tex]

The more reasonable one is 1.4m .0.001435 is too small(its not even up to 1)

Answer:

1.2675 × 10^37. 

Step-by-step explanation:

you would have to multiply 3.9 x 3.25= 12. 675 and it is not in scientific notation so you would do 1.2675 x 10^37

Hope it helps!

Answer:

64

Step-by-step explanation:

7 + 22 × 4 - 31 = 64

How the answer is 64:

Use BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) for order of operation.

22 × 4 is first which is equal to 88

7 + 88 is next which is 95

95 - 31 is last which is 64.

The answer is 64, not 85.

Answer:

6x5.04 =30.24

Step-by-step explanation:

I just multiplied.

Answer:

number=5

Step-by-step explanation:

35/7=5

quotient is the answer to a division problem

Steps to solve:

35/n = 7

~Multiply 1/35 to both sides

35/n * 1/35 = 7 * 1/35

~Simplify

n = 5

Best of Luck!

Answer:

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

XZ=19

Step-by-step explanation:

the total length of the segment is 37, and half of the segment is 18, so to find the other half of the segment, you would subtract the half from the total amount: 37-18=19

hope this helps

Answer:

-3

Step-by-step explanation:

-6-(-3)

=>-6+3

=>-3

Answer:

a. -3

Explanation:

-6+3

-3

Answer:

67

Step-by-step explanation:

you need to get 180 degrees, so 67 plus the 113 should get your answer