Can the sides of a triangle have lengths 2,4, and 10? Yes or no

Answer:

w = pt

Step-by-step explanation:

\(p=\frac{w}{t}\\\\p*t=\frac{w}{t}*t\\\\pt=w\\\\\boxed{w=pt;t\neq 0}\)

Hope this helps.

A set is a mathematical model for a collection of diverse things; it amy comprises of elements or members. The set {A∪B}∩{B∩C'} will be equal to {4,7}.

A set is a mathematical model for a collection of diverse things; it comprises elements or members, which can be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

The following sets are given,

A∩B means the number should be in either set A or set B. Therefore, we can write,

{A∪B} = {3 , 4 , 6 , 7 , 8}

B∩C' means the number should be in ser B, but should not be in set C. Therefore, we can write,

{B∩C'} = {4, 7, 10}

{A∪B}∩{B∩C'} means that both the sets {A∪B} and {B∩C'} should contain the digits,

{A∪B}∩{B∩C'} = {4, 7}

Hence, the set {A∪B}∩{B∩C'} will be equal to {4,7}.

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the axis of symmetry is the vertical line then the  correct answer, which is x = 5/6.

What is function?

a function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

To find the axis of symmetry for the function f(x) = 2x + 4x - 5, we need to first put it in standard form, which is in the form of f(x) = a(x-h)^2 + k. To do this, we can complete the square as follows:

f(x) = 2x + 4x - 5

f(x) = 6x - 5

f(x) = 6(x - 5/6)

Now we can see that the vertex of the parabola is at (5/6, 0), which means the axis of symmetry is a vertical line passing through the vertex. Therefore, the axis of symmetry is x = 5/6.

None of the given options (a, b, c, d) match with the correct answer, which is x = 5/6.

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Answer:

\( \frac{49}{16} \: or \: 3 \frac{1}{16} \)

Answer:

Step-by-step explanation:

take 72 degree as reference angle

using cos rule

cos 72=adjacent/hypotenuse

0.30=4/x

x=4/0.30

x=13.33

x=13.3

Answer:

1. 0.004

Step-by-step explanation:

0.04(1/10) = 0.004.

Number of shoppers per hour (during business hours) = 84

Time spent by each shopper (average) = 5 mins

→ 60 mins (1 hour) = 84 shoppers

→ 60 = 84

→ 84/60

→ 1.4

→ 1.4 × 5 = 7

→ 7 shoppers on an average, are waiting in the checkout line to purchase at the "Good Deals store"

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–TheExtraterrestrial

Answer:

number of shoppers per hour ( during business hours )84

Answer: $1.65

Step-by-step explanation: 19.80 / 12 = 1.65

Answer:

20

Step-by-step explanation:

8 is near to 10 so +1

The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Using Cramer's rule, the value of x is ...

  \(x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}\)

  x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

  x = 7

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

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

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer:

D

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

=3x^3+8x^2-7x-4-(2x-6)

=3x^3+8x^2-9x+2

Answer:

Average density of Sun is 1.3927 .

Given:

Radius of Sun = 7.001 × km = 7.001 × cm

Mass of Sun = 2 ×  kg = 2 ×  g

To find:

Average density of Sun = ?

Formula used:

Density of Sun =

Solution:

Density of Sun is given by,

Density of Sun =

Volume of Sun =

Volume of Sun =

Volume of Sun = 1.436 ×  

Density of Sun =

Density of Sun = 1.3927

Thus, Average density of Sun is 1.3927 .

Step-by-step explanation:

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Answer:

\(\frac{18}{45}\) and  \(\frac{14}{35}\)

Step-by-step explanation:

One way you can tell is to divide the fractions.

Put in your calculator 18÷45 = 0.4

Put in your calculator 14÷35 = 0.4

Answer:

9599

Step-by-step explanation:

use technology.

Answer:

9595

Step-by-step explanation:

x = 331 x 29

= 9595

331

x 29

----------

9595

Answer:

A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.

B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.

Answer:

57+x = 45

The sum means your adding numbers. it says the sum of 57 and a number x. That means you are adding 57 and the number x. which is written as 57+x. It says after that "is 45" so the sum or answer is 45.

You can also solve for x.. if you want to, the answer would be x=-12.

because.. 57+-12 = 45

Step-by-step explanation:

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

Semicircle.

Explanation:

In the circle, line NK is a diameter line.

This divides the circle into semicircles (equal halves).

Thus, the arc NKJ is a Semicircle.

Answer:

Step-by-step explanation:

more info

Answer:

y = 3/2x + 1

Step-by-step explanation:

I hope this helps

The equation of the linear function in slope intercept form is y = 3/2 x + 1.

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope = Change in y coordinates / Change in x coordinates

The line passes through (0, 1) and (-2, -2).

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

          = -3 / -2

          = 3/2

The line touches the Y axis at (0, 1).

So the y intercept is 1.

So the equation in slope intercept form is,

y = 3/2 x + 1.

Hence the equation is y = 3/2 x + 1.

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Answer:

6-4 times x=18

btw x=9

Answer:

4x - 6 =15

Step-by-step explanation:

I will use "x" as our variable to represent the number we are trying to find.  

Let's take the problem piece by piece.

Six less than four times a number.

If we are using x to represent our number, we know that when we do four times that number we are multiplying x times 4, which is the same as writing "4x."

Next we know that we are taking six less than 4x. Six less than means we will be subtracting 6 from our 4x, which is the same as writing 4x - 6.

Finally, we know that six less than 4x (4x - 6) equals 15. Now we have a full equation:

4x - 6 =15

Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³