6x²-15x=0

If possible use the quadratic formula​

Answer:

Radius is going to be 3 since half of the diameter is the radius.

Formula of a circumference you must remember:

2πr

(2 x pie (3.14 or 22/7) x your given radius or have of the diameter.

2 x 3.14 x 3 = 18.84

Answer:

22.7 km

Step-by-step explanation:

The Pythagorean Theorem is:

a² + b² = c²

where a and b are legs and c is the hypotenuse.

The hypotenuse is the longest side of a right triangle and can be identified as being across from the right angle. The legs are interchangeable between the variables a and b.

Because it's clear that x is the hypotenuse:

15² + 17² = x²

225 + 289 = x²

514 = x²

√514 = √x²

x = √514

Because we can't simplify √514 anymore, we can keep it as radical 514 or round it:

22.6715681 ≈ 22.7

Answer: X=8 Y=138

Step-by-step explanation:

Answer: x=2 and y=12

Step-by-step explanation:

Answer:

1±√2=q

or

q=2.41, -0.41

Step-by-step explanation:

we are given the equation q²-2q-1=0, and we want to use the quadratic equation, which is (-b±√(b²-4ac))/2a

a is 1 (there is a 1 in front of q²)

b is -2

c is -1

substitute into the equation:

q=(2±√(4-4*1*-1))/2

solve for the discriminant:

√(4-4(1*-1))

√8

now the equation:

(2±√8)/2=q

simplify:

1±√2=q

or if your application asks for a decimal:

√2≈1.41

so:

1+1.41=2.41=q

or

1-1.41=-0.41=q

Hope this helps!

Answer:

h(x)=6^x/3 is what I got hope I could help

A) 12 and 33 can be divided by 3 so 12:33 = 4:11

B= 20 and 5 can be divided by 5 so 20mm:5mm = 4mm:1mm

Answer:

A. 4: 11

B. 4: 1

Step-by-step explanation:

What are these? These are ratios, which show proportion. For example, for every two dogs, there is one cat. They can be written as words, fractions, or with colons, such as in these problems.

How to simplify: To simplify, think of the highest common factor. If you can't think of the highest, just think of a factor both numbers have in common and keep going until the numbers don't have any factors in common.

In this case, for A, the common factor was 3. 12/3=4 and 33/3=11. This cannot be simplified further because 11 is prime, which means it has no factors besides 1 and 11.

For B, the common factor was 4, so it is 4:1.

Answer:

x=12 and y=6

Step-by-step explanation:

because the angle are same and equal

The value of x is 12 and y is 6.

Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical. For example, the sun and moon might appear the same size but they are actually different in size. However, we are similar figures since both the figures are circular in nature.

Two triangles will be similar if the angles are equal (corresponding angles) and sides are in the same ratio or proportion(corresponding sides). Similar triangles may have different individual lengths of the sides of triangles but their angles must be equal and their corresponding ratio of the length of the sides or scale factor must be the same. If two triangles are similar that means,

As per the situation we have given that

The similarity in figures show that the angles are equal.

Also, the corresponding sides are also equal.

Hence, the value of x is 12 and y is 6.

Learn more about similarity here:

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Answer:

Step-by-step explanation:

The arithmetic sequence usually write as [tex]a_{n}=a_{1} +(n-1)d[/tex], where a1 is the first term and d is a common difference.

[tex]a_{n} = a_{1}+(n-1)d\\a_{n} = 0+(n-1)0.5\\[/tex]

Answer:

A

Step-by-step explanation:

Think about the square root of 64, which is 8. It will only be slightly higher than 8, which will not even be .5, so 8 is the closest number.

Answer:

333 :)

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

there is only one side in which there is 3 out of total six sides so 1/6

Answer:

  (x +6)² +(y +3)² = 36

Step-by-step explanation:

The standard form equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

__

We have a circle with diameter 12, so its radius is 6. The center is given as (h, k) = (-6, -3), so the equation can be written ...

  (x -(-6))² +(y -(-3))² = 6²

Simplifying this a suitable amount, we have the equation ...

  (x +6)² +(y +3)² = 36

Answer:

2 < or equal to (t) < or equal to 1000

Step-by-step explanation:

2 is the profit of the (t) amount of t shirts so the amount should be greater than or equal too 1000 because if they have 500 shirts 500 x 2 is 1000

The domain of this function will be given by the set A[1, 500].

The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is the math club which is selling T-shirts to raise money. Each T-shirt sold represents a profit of $2. The club has a total of 500 T- shirts.

The function representing the profit by selling [x] T - shirts can be written as -

P(x) = 2x

or

y = 2x

Maximum value of y = 2x 500 = $1000

The domain of this function will be given by the set A[1, 500].

Hence, the domain of this function will be given by the set A[1, 500].

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Answer:

y=-1/3x+5

Step-by-step explanation:

I know the equation would be y=-1/3x+5 because of slope intercept form.

y=mx+b

y= the y coordinate of a point on the graph

m= slope of the graph

x= the x coordinate of a point on the graph

b= y intercept

We know the slope of the graph is -1/3, and we know the y- intercept of the graph is 5.

So, the equation is y=-1/3x+5.

Answer:

The value for partners savings bank at the end of 1 year is $12,362.70. The value for Selwyn's at the end of 1 year is $12,334.58. The future value obtained by investing in Partners Saving Bank is more as compared to Selwyn’s Saving Bank. Hence Joseph is recommended to choose Partners Saving Bank.

Step-by-step explanation:

The value of the interest rate and the compounding applied, gives the

value in the account after one year.

Reasons:

The amount Joseph receives as gift, A₀ = $12,000

Amount interest from Partner's Savings Bank, r = 3% compounded semiannually

Interest rate offered by Selwyn's, r = 2.75% compounded continuously

Required:

The value of the two account at the end of one year.

Solution:

[tex]A_t = A_0 \cdot \left(1 + \dfrac{r}{2} \right)^{2 \times t}[/tex]

The amount at the end of one year (t = 1) in Partner's Savings Bank is therefore;

[tex]A_t = 12,000 \times \left(1 + \dfrac{0.03}{2} \right)^{2 \times 1} = 12,362.7[/tex]

The value of an account at Selwyn's is therefore;

The interest rate compounded continuously is presented as follows;

[tex]A(t) = \mathbf{A_0 \cdot e^{r \cdot t}}[/tex]

A₀ = The original amount invested = $12,000

Which gives;

[tex]A(t) = 12,000 \times e^{0.0275 \times 1} \approx \mathbf{12,334.58}[/tex]

Learn more here:

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Answer:

184 in²

Step-by-step explanation:

Given :

Width, w = 6 inches

Length, l = 10 inches

Height, h = 2 inches

To obtain how much wrapping paper is needed ; we take the surface area of the box

Surface area = 2(lw + lh + wh)

Surface area = 2((6*10) + (6*2) + (10*2))

Surface area = 2(60 + 12 + 20)

Surface area = 2(92)

Surface area = 184 in²

The amount of wrapping paper needed = 184 in²

Answer:

80

Step-by-step explanation:

the answer is 80 because 8×10=80

Answer:

116

Step-by-step explanation:

Area of whole thing is 196 and area of grass is 80 so you do 196-80 to get 116.

Answer:

46

Step-by-step explanation:

Answer:

x=46

Step-by-step explanation:

Respuesta:

120 metros

Explicación paso a paso:

Dado que:

Área del lote cuadrado = 900 m²

Área, A de cuadrado = s²

Donde, s = longitud del lado

s² = 900

Toma el cuadrado de ambos lados

s = raíz cuadrada (900)

s = 30

Se requiere metro lineal de alambre para cercar, el lote será el perímetro del lote cuadrado;

El perímetro del lote cuadrado = 4s

Por eso,

Perímetro del lote cuadrado = 4 * 30

Perímetro del lote cuadrado = 120 m

Answer:

The first one.

Step-by-step explanation:

so 1 stands for x and -5 stands for y. When you plug in 1 into the equation the answer is -5. So that order pair works with that equation.

Answer:

[tex]y=\frac{1}{4} x-3[/tex]

Step-by-step explanation:

y=mx+b -- m = slope, b = y-int

Answer:

14

Step-by-step explanation:

√196

Calculate the square root of 196 and get 14.

14

Answer:

90 degrees

Step-by-step explanation:

The three angles of a triangle always add up to 180 degrees, so knowing this, all three of the measures given should add up to 180.

First, you need to solve for x:

S(x+10) + R(2x+60) + T(50+x) = 180

Add up all of the like terms:

10 + 60 + 50 = 120

x + 2x + x = 4x

So now you are left with 4x + 120 = 180

And solve for x:

4x/4 + 120/4 = 180/4

x + 30 = 45

x + 30-30 = 45-30

x = 15

Now that we have the value of x, plug it into the measure given for angle R:

(2x+60)

= (2(15)+60)

= (30 + 60)

= 90

So the measure of angle R is 90 degrees.

I hope this helped! :)

Answer:

36

Step-by-step explanation:

Use the counting principle.

2 * 3 * 6 = 36

Answer: 36

Answer: 30 outfits

Step-by-step explanation:

2 x 5 x 3 =30

Answer:

5575 cm³

Step-by-step explanation:

The volume of a sphere is V = (4/3)πr³.  If we substitute r = (d/2 where r is the radius and d the diameter), this formula becomes:

                                        πd³

V = (4/3)π·d³/8, or V = -------------

                                           6

and so, if d = 22 cm, the volume is:

        π(22 cm)³

V = ------------------- = 5575 cm³

              6

Answer:

volume of a cylinder = 1408

hope this answer helps you...

Answer:

1407.616

Step-by-step explanation:

Volume of cylinder=πr²h

V=3.142×8×8×7

V=1407.616

NOTE: radius =diameter/2=16/2

giving 8.

Answer:

[tex]4\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]4\frac{3}{4} -\frac{1}{3} \\\\\frac{19}{4} -\frac{1}{3} \\\\\frac{57}{12} -\frac{4}{12} \\\\\frac{53}{12} \\\\4\frac{5}{12}[/tex]

Answer:

leon's older brother is 4 5/12 feet tall

Step-by-step explanation:

4 3/4 - 1/3

= 4 5/12