A variable y varies directly with x and the constant of variation is 3. what is the value of y when x =2

Answer:

4.2 blocks

Step-by-step explanation:

Using SOH CAH TOA

Distance d can be obtained using :

SOH ;

Sin θ = opposite / hypotenus

Hypotenus = 6

Opposite = d

θ = 45°

Sin 45° = d / 6

0.7071067 * 6 = d

4.2426406 = d

Hence, distance d, Oak street to Elm street is = 4.2 blocks

9514 1404 393

Answer:

  113.57 square units

Step-by-step explanation:

The area of each of the 6 triangular faces is ...

  A = 1/2bh

  A = (1/2)(4)(6) = 12 . . . . square units

The area of the base is ...

  A = (3√3)/2·s² . . . . . . for side length s

  A = (3√3)/2×4² = 24√3 . . . . square units

Then the total area is ...

  total area = base area + face area

  = 24√3 + 6(12) = 24(3 +√3) ≈ 113.57 . . . square units

Answer:

14

Step-by-step explanation:

28/n = n/7

cross multiply

n^2=196

n=14

Answer:

4%

Step-by-step explanation:

310 /7759 x 100% = 4%

9514 1404 393

Explanation:

As written, the equation is not an identity. Perhaps you want to show ...

  (csc(x) +cot(x))² = (cos(x) +1)/(1 -cos(x))

__

We will transform the left-side expression to the form of the right-side expression.

  [tex](\csc(x)+\cot(x))^2=\left(\dfrac{1}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}\right)^2=\dfrac{(1+\cos(x))^2}{\sin(x)^2}\\\\=\dfrac{(1+\cos(x))^2}{1-\cos(x)^2}=\dfrac{1+\cos(x)}{1-\cos(x)}\cdot\dfrac{1+\cos(x)}{1+\cos(x)}=\boxed{\dfrac{\cos(x)+1}{1-\cos(x)}}[/tex]

Answer:

512 units.

Step-by-step explanation:

V = S x S x S

V = 8 x 8 x 8

V = 512

So your answer is 512 units! Please mark brainliest if I got it right :)

Answer:

9 or 3

Step-by-step explanation:

Answer:

Exact form: 925/48

Decimal form: 19.27083

Mixed number form: ↓↓↓↓

[tex]19 \times \frac{13}{48} [/tex]

Step-by-step explanation:

hope that helps :) have a good day!

Answer:

izoom out,its too close

Answer:

5(5c + 7)

Step-by-step explanation:

Common factor of 25 and 35:

5

Simplified:

5(5c + 7)

Answer:

y

Step-by-step explanation:

((((2•3y3) -  22y2) -  3y) -  —) -  2

                               y    

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  y  as the denominator :

                      6y3 - 4y2 - 3y     (6y3 - 4y2 - 3y) • y

    6y3 - 4y2 - 3y =  ——————————————  =  ————————————————————

                            1                     y          

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  6y3 - 4y2 - 3y  =   y • (6y2 - 4y - 3)

Trying to factor by splitting the middle term

5.2     Factoring  6y2 - 4y - 3

The first term is,  6y2  its coefficient is  6 .

The middle term is,  -4y  its coefficient is  -4 .

The last term, "the constant", is  -3

Step-1 : Multiply the coefficient of the first term by the constant   6 • -3 = -18

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   -4 .

     -18    +    1    =    -17

     -9    +    2    =    -7

     -6    +    3    =    -3

     -3    +    6    =    3

     -2    +    9    =    7

     -1    +    18    =    17

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

5.3       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

y • (6y2-4y-3) • y - (6)     6y4 - 4y3 - 3y2 - 6

————————————————————————  =  ———————————————————

           y                          y        

Equation at the end of step

5

:

 (6y4 - 4y3 - 3y2 - 6)    

 ————————————————————— -  2

           y              

STEP

6

:

Rewriting the whole as an Equivalent Fraction :

6.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  y  as the denominator :

        2     2 • y

   2 =  —  =  —————

        1       y  

Checking for a perfect cube :

6.2    6y4 - 4y3 - 3y2 - 6  is not a perfect cube

Trying to factor by pulling out :

6.3      Factoring:  6y4 - 4y3 - 3y2 - 6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3y2 - 6

Group 2:  6y4 - 4y3

Pull out from each group separately :

Group 1:   (y2 + 2) • (-3)

Group 2:   (3y - 2) • (2y3)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

6.4    Find roots (zeroes) of :       F(y) = 6y4 - 4y3 - 3y2 - 6

Polynomial Roots Calculator is a set of methods aimed at finding values of  y  for which   F(y)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  y  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  6  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1,2 ,3 ,6

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00    

     -1       2        -0.50        -5.88    

     -1       3        -0.33        -6.11    

     -1       6        -0.17        -6.06    

     -2       1        -2.00        110.00    

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

6.5       Adding up the two equivalent fractions

(6y4-4y3-3y2-6) - (2 • y)      6y4 - 4y3 - 3y2 - 2y - 6

—————————————————————————  =  ————————————————————————

            y                            y            

Polynomial Roots Calculator :

6.6    Find roots (zeroes) of :       F(y) = 6y4 - 4y3 - 3y2 - 2y - 6

    See theory in step 6.4

In this case, the Leading Coefficient is  6  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1,2 ,3 ,6

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        3.00    

     -1       2        -0.50        -4.88    

     -1       3        -0.33        -5.44    

     -1       6        -0.17        -5.73    

     -2       1        -2.00        114.00    

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Final result :

 6y4 - 4y3 - 3y2 - 2y - 6

 ————————————————————————

            y            

Answer:

72 I think, I don't rly know use a calculator lol

Answer:

B. x=5, y=4

Step-by-step explanation:

the tiny triangle is 3x smaller so just divide those numbers by three

Answer:

x = 150°

Step-by-step explanation:

From the picture attached,

Segment AC and segment BC are the tangents to circle O.

By the property of angle between tangent and the radius of a circle,

"Angle between the radius and tangent drawn to the circle is 90°"

m(∠OAC) = m(∠OBC) = 90°

Sum of opposite angles of the quadrilateral OBCA is 180°,

m(∠OAC) + m(∠OBC) = 180°

Therefore, quadrilateral OBCA is a cyclic quadrilateral.

By the same property of cyclic quadrilateral,

m(∠AOB) + m(∠ACB) = 180°

x° + 30° = 180°

x = 180 - 30

x = 150°

Add the half circle to the rectangle and subtract the triangle.

Area of half circle = 1/2 x pi x 8.5^2 = 113.4325

Area of rectangle = 11 x 17 = 187

Area of triangle: 1/2 x 3 x 17 = 25.5

Total area: 113.4325 + 187 - 25.5 = 274.9325 square m

Perimeter: outside dimension for 1/2 circle = 1/2 x 3.14 x 17 = 26.69

Perimeter = 26.69 + 11 + 11 + 9 + 9 = 66.69 m

Answer:

27x

Step-by-step explanation:

Answer:

28.57% is the answer

The function which shows the cube root of parent function is; Choice A; G(x) = ³√(1/4)x.

It follows from task content that upon observation and test of values that;

At point x = 4, G(x) = 1.

This of course stands through for the graph and hence Choice A; is correct.

Read more on graph of functions;

https://brainly.com/question/3939432

#SPJ2

Answer:

Correct answer is C.

Step-by-step explanation:

Did the test

Answer:

45595

Step-by-step explanation:

plug in 7 for n and solve

This is the population 7 years after 2002(2009)

Answer:

The answer is "In the i-th to J-th hour, the Wrestler played only 24 match-ups".

Step-by-step explanation:

Let [tex]x_i[/tex] label the number of teams played by the wrestler for [tex]1 \leq i \leq 75[/tex], after i-th hour, where [tex]1 \leq x_i \leq 125[/tex].   This also means [tex]25 \leq x_i + 24 \leq 149[/tex]. The Pigeonhole Principle means that [tex]\ni i \neq j \ni x i+ 24 = x ,j[/tex] is played exactly 24 matches  between the i-th and j-th-hours end. Thus, 150 integrals [tex]x_1,x_2,......x_{75}, x_1+24,x_2+24.[/tex]  In the i-th to J-th hour, the Wrestler played only 24 match-ups.

Answer:

The remainder is -64

Step-by-step explanation:

Given

[tex]7x^2 - x^3[/tex]

Divided by [tex]x - 8[/tex]

Required

Determine the remainder

Equate [tex]x - 8[/tex] to 0

[tex]x - 8 = 0[/tex]

Solve for x

[tex]x = 8[/tex]

Using remainder theorem, substitute 8 for x in [tex]7x^2 - x^3[/tex]

So, we have:

[tex]7 * 8^2 - 8^3[/tex]

Evaluate all exponents

[tex]7 * 64 - 512[/tex]

[tex]448 - 512[/tex]

[tex]-64[/tex]

Answer:

(-3, -2)

Step-by-step explanation:

The point is at -3 on the x, and -2 on the y. make sure to include x first in the coordinates! (x, y)

brainliest plz if someone else answers

angle 2 and angle 6 need to be congruent

Answer:

area = 28 cm²

Step-by-step explanation:

area = 8 x 3.5 = 28 cm²

Answer:

28 cm²

Step-by-step explanation:

Because the length of the rectangle is 8 and the width is 3.5 cm which we know we that the area is "length x width" so we should multiply both numbers getting 28 cm

Answer:

hi can you give me some points because i did in fact "answer "your  qyestion thank you

Step-by-step explanation:

Answer:

D. 8

Step-by-step explanation:

2p=16

divide both sides by 2 to get p alone

p=8

Answer:

The number of quarts of papaya juice in 1 quart of apply juice is 8.

Step-by-step explanation:

2p = 16

2p/2 = 16/2

p = 8

Answer:

10 inches

Step-by-step explanation:

Answer:

Left 5 spaces, then down 2 spaces

Step-by-step explanation: