Find the values of k for which y = kx + 1 is a tangent to the curve y = 2x^2 + x +3

Answer:

t=[tex]\frac{2-3q}{q+4}[/tex]

Step-by-step explanation:

q(t+3)=2-4t

qt+3q=2-4t

qt+4t=2-3q

t(q+4)=2-3q

t=[tex]\frac{2-3q}{q+4}[/tex]

Length in units:

Use phytogoras theorem or measure it by a ruler if your using a graph paper

AB = 5.65 units

AC = 5.83 units

CB = 1.41 units

Perimeter =5.65 + 5.83 + 1.41 = 12.89 units

Area = 1/2 * 1.41 * 5.65 = 3.98units

Answer:

in short, Yes they are always rational.

here's why...

E.g. suppose [tex]\frac{c}{d}[/tex] and [tex]\frac{a}{b}[/tex] are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give [tex]\frac{ad+bc}{bd}[/tex] and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

Answer:

Irrational.

Step-by-step explanation:

When we simplify √42, we get:

And 6.48074069841 is an irrational number.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

The answer is 77

Answer:

2:3

Step-by-step explanation:

Simply divide each by 10

20/10=2

30/10=3

and your ratio is 2:3

Answer:

  1.42 m

Step-by-step explanation:

Each inch is 0.0254 meters, so 56 of them is ...

  56(0.0254 m) = 1.4224 m ≈ 1.42 m

Answer:

#4          x = 3 ± i√31

                       2

Step-by-step explanation:

Solve by completing the square

  x² - 3x + 10 = 0    

  x² - 3x       =  -10

 x² - 3x + 9/4  =  -10 + 9/4       half of 3 and square the answer (half of 3 = 3/2  

                                                 and square the number   (3/2)²  = 9/4    

x² - 3x + 9/4  =  -31/4

[tex](x - \frac{3}{2} )^2 = \frac{-31}{4}[/tex]

[tex]\sqrt{(x-\frac{3}{2})^2 } =\sqrt{\frac{-31}{4} }[/tex]

[tex]x - \frac{3}{2} = \frac{i\sqrt{31} }{2}[/tex]  

x = 3/2 ±  i[tex]\sqrt{31}[/tex] /2

x = 3 ± i√31

          2

The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

Mindy claims 20 sets of shoes and consistently she buys two additional matches.

The first term is 20 and the common difference between the succession terms is 2. Then the equation is given as,

aₙ = a₁ + nd

aₙ = 20 + 2n

The number of weeks is given as,

50 = 20 + 2n

50 = 20 + 2n

50 = 20 + 2n

Simplify the equation, then we have

2n = 50 - 20

2n = 30

n = 30 / 2

n = 15

The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

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Hello there!

7 is greater than -7, because positive numbers are always greater than negative ones.

a>-a

The > sign means "greater than"

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

Answer:

80

Step-by-step explanation:

60/3 becomes 20 and then it says equal to 1/4 x because x divided by 4 so we multiply by 4 to get 80

Answer:

49 square metres

Step-by-step explanation:

The area of a square is the length of the side times itself.

The area is 7 x 7 = 49

Answer:

its 25.

Step-by-step explanation:because 50 divided by 2 is 25.

Answer:

40 units

Step-by-step explanation:

1) Find the side length of the square

Let the side be "s".

[tex]\rightarrow \frac{1}{2} \times s \times s = 50 \ \text{cm}^{2}[/tex]

[tex]\rightarrow s \times s = 50 \times 2[/tex]

[tex]\rightarrow s \times s = 100[/tex]

[tex]\rightarrow \sqrt{s \times s} = \sqrt{100}[/tex]

[tex]\rightarrow s = \±10[/tex]

[tex]\rightarrow s = 10 \ \text{units}[/tex]                                      (Side lengths can never be negative)

2) Find the perimeter of the square

[tex]\text{Perimeter of square = 4(s) = 4(10) = 40 units}[/tex]

Answer:

x > -7 (Hey man think before ask)

Step-by-step explanation:

It is so easy .....

Answer:

-6,-4,-2,3

Equation: x>−7

Step-by-step explanation:

Just ask.

Hope this helps.

Answer:

x=2 ,. y=y -3

Step-by-step explanation:

I hope it helps

The equations of the lines given in the graph will be y = 3x and y =-5x -2.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For line one the points are:-

( 1,3 ) and ( 0,0)

Slope = ( 0 - 3) / ( 0 - 1 )

Slope = 3

The equation will be,

y = 3x

For line two the points are:-

(-1,3) and (0,-2),

Slope = ( -2 - 3 ) / ( 0 + 1)

Slope = -5

The y-intercept will be,

y = mx +c

c = -2

The equation can be written as:-

y = -5x - 2

To know more about an equation of the line follow

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The maximum height each tooth is 2.47cm.

The first step is to determine the maximum volume of a tooth.

Maximum volume of a tooth = volume of the block / number of teeth

81 cm³ / 20 = 4.05cm³

The formula to determine the height of a cone is:

Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²

Where:

Height = 4.05  ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm

To learn more about the volume of a cone, please check: https://brainly.com/question/1315822

Answer:

[tex]450000 \leqslant 15000 + 4t[/tex]

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

Reasons:

[tex]\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC[/tex] Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴  m∠EDA = 0.5 × 180° = 90°

2. [tex]m\widehat{BC}[/tex] = 42°, therefore, m∠BPC = 42°

[tex]\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC[/tex]

m∠BDC = 0.5 × 42° = 21°

3. m∠BEC = m∠BDC = 21°

4. [tex]m\widehat{AB}[/tex] = 180° - (58° + 42°) = 80°

5. [tex]\mathbf{m\widehat{AB}}[/tex] = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = 40°

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × [tex]m\widehat{EA}[/tex]

m∠ECA = 0.5 × 58° = 29°

m∠ECA =  29°

7. m∠BAC = 0.5 × [tex]\mathbf{m\widehat{BC}}[/tex]

m∠BAC = 0.5 × 42° = 21°

m∠BAC = 21°

8. [tex]m\widehat{ED}[/tex]  = 180° - [tex]\mathbf{m\widehat{CD}}[/tex]

[tex]m\widehat{ED}[/tex]  = 180° - 90° = 90°

[tex]\mathbf{m\widehat{ED}}[/tex]  =  90°

9. m∠ECD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠ECD = 0.5 × 90° = 45°

10. m∠ACB = 0.5 × [tex]m\widehat{AB}[/tex]

m∠ACB = 0.5 × 80° = 40°

11. m∠EBD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠EBD = 0.5 × 90° = 45°

12. m∠ADB = 0.5 × [tex]\mathbf{m\widehat{AB}}[/tex]

m∠ADB = 0.5 × 80° = 40°

13. m∠CAD = 0.5 × [tex]\mathbf{m\widehat{CD}}[/tex]

m∠CAD = 0.5 × 90° = 45°

14. m∠EAB = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EAB = 0.5 × 180° = 90°

15. m∠EBC = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EBC = 0.5 × 180° = 90°

Learn more about circle theorems here:

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Answer:your mom

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Any value multiplied by Zero gives Zero, therefore ~

Answer: The answer to this question is true.

Answer:

3. x=14° y=7

4. x=29° y=3

Step-by-step explanation:

3. this is a 45 - 45- 90 triangle

so the side is a-a-a√2 ( two sides are the same)

4y-3=10+2y+1 -- collect like terms

4y-2y=10+1+3

2y=14

y=7

find the angle of the inside triangle

180-59-90 =

31°

we know the big triangle was a 45-45-90 angle

so x+31=45

x=45-31

x=14°

4. this is a square, all sides are same

5y+3y=24

8y=24

y=3

angle is 90°

x+x+9y+5=90

we know y=3 --substitute

x+x+9(3)+5=90

2x+27+5=90

2x=90-27-5

2x=58

x=58/2

x=29

Answer:

They sold 111 Hamburgers

Step-by-step explanation:

Turn this into an equation: first, take the amount of hamburgers and call it 3x due to it being 3 times more than the amount of cheeseburgers, which we will can call x.

So, X+3X=444 is what you need to solve this. This is the same as 4x=444

So, x=111

Now, Input 111 for the final answer; 333 cheeseburgers and 111 hamburgers

Answer:

A

Step-by-step explanation:

n is the number.

So n*6=26

Hey there!

Guide:

• Difference = Subtract

• Is = Equal to

• Product = Multiply

• Quotient = Divide

• Sum = Add

• Unknown number = a number that’s isn’t known yet

Question reads….

“ A [PRODUCT] of [a NUMBER] & 6 [is] 26”

RANDOM:

• Product is multiply/multiplication

• A number is unknown so we will label it as “n”

• 6 stays the same because nothing happened to it

• 26 is BEHIND the equal sign but nothing happens to it because nothing is being compared to it

ANSWER:

“n * 6 = 26”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer: $8 21 quarters

Step-by-step explanation:

20 quarters is $5 plus another is $5.25

8 dollars is $8 plus the $5.25 = $13.25

Have a nice day, and if you could be so kind as to give me a brainliest