Suppose that y varies directly with x, and y = 10 when x = 5. What direct variation equation relates x and y? What is the value of y when x = 2?

Answer: cube

Step-by-step explanation:

Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides

The shape with six equal square, flat sides is known as a cube.

A cube is a three-dimensional geometric shape characterized by six equal square faces. Each face of the cube is identical, and the shape is formed by connecting these faces at right angles. This regular polyhedron is fundamental in mathematics and has practical applications in various fields. Cubes are extensively used in geometry, trigonometry, and calculus to illustrate concepts such as volume and surface area. In addition to its mathematical significance, cubes are prevalent in everyday objects like dice and building blocks. Understanding the properties of cubes is crucial in engineering and architecture, where it aids in designing structures and solving spatial problems efficiently.

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Answer:

0 solutions

Step-by-step explanation:

they have the same slope and different y intercepts so they never intersect

Answer:

This equation has no solution

Step-by-step explanation:

To find our many solution the system of equation has, we need to  solve simultaneously, we can either solve by substitution method, by elimination method or both method.

We will be using substitution method to solve.

Here are the system of equation;

y= -4x+2 ----------(1)

24x+6y=6---------(2)

First, we are going to substitute equation (1) in equation (3)

{what we mean by substituting equation (1) in equation (2) is then any where we see y in equation (2),  we will be replacing it by[-4x + 2]}

24x + 6(-4x + 2)  = 6

Then, we will go ahead and open the bracket

24x  -  24x  +  12  =6

This simply shows that there is no solution to this system of equation

Answer:

I think is (A)

They got same y intercept

they both cross at 0

but they are opposite graph like X

Step-by-step explanation:

Answer:

it's C

Step-by-step explanation:

Answer: c

x-intercept ( 1 /3 , 0)

Step-by-step explanation:

Answer:

x = -3√10 and x = 3√10

Step-by-step explanation:

98-x^2=8

x^2 = 98 - 8

x^2 = 90

x = +/- 3√10

Answer:

[tex]\pm3\sqrt{10}[/tex]

Step-by-step explanation:

The solution to an equation is when the equation is equal to 0 (also known as the roots/x intercepts.)

[tex]98-x^2=8\\-x^2=-90\\x^2=90\\x=\pm\sqrt{90} \\x=\pm3\sqrt{10}[/tex]

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(-2-1)^2+(3-4)^2}\implies d=\sqrt{(-3)^2+(-1)^2} \\\\\\ d=\sqrt{9+1}\implies d=\sqrt{10}[/tex]

To find the distance between two points (1,4) and (-2,3) using the distance formula, perform the relevant calculations and steps.

To find the distance between two points using the distance formula, you can follow these steps:

So, the distance between the points (1,4) and (-2,3) is approximately 3.16 units.

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Answer:

120 yards

Step-by-step explanation:

A map scale is a ratio.

1 inch : 30 yards

Multiply both sides of the ratio by 4.

4 * 1 inch : 4 * 30 yards

4 inches : 120 yards

Answer:

So we know 4 inches  is 120 yds

Step-by-step explanation:

We can use ratio's to solve this problem

1 inch           4 inch

------------ = --------------

30 yds         x yds

Using cross products

1 * x = 30*4

x = 120

So we know 4 inches  is 120 yds

Answer:

x=36

Step-by-step explanation:

< CAB and <EAD are vertical angles and vertical angles are equal

<CAB = <EAD

36 = x

Answer:

[tex]y =\displaystyle\frac{1}{4}x^{0.5}[/tex]

It is a power function.

Step-by-step explanation:

We are given the following function in the question:

[tex]y =\displaystyle\frac{1}{4}x^{0.5}[/tex]

We have to check whether the given function is a power function or not.

Power Functions :

[tex]f(x) = ax^p,[/tex]

where a is a constant and not equal to zero and p is a real number.

Comparing the given function, we get:

[tex]a = \displaystyle\frac{1}{4}\\\\p = 0.5[/tex]

Hence, the given function is a power function.

The equation y = 1/4x^0.5 is a power function because it fits the general form of a power function, y = ax^n, with a constant coefficient and a real number exponent.

Yes, the function y = 1/4x^0.5 is indeed a power function. A power function is of the form y = ax^n, where a is a constant and n is a real number, representing the power of x. In the given function, a is equal to 1/4, and n is 0.5, which is equivalent to the square root of x (since raising a number to the 0.5 power is the same as taking its square root).

Therefore, we can express the square root of x as x raised to the power of 1/2, fitting the form of a power function.

In this exercise we have to use the knowledge of equations to write the intersection equation, so we have to:

The formula for setting up an equation is given by:

[tex](y - y1) = m(x - x1)[/tex]

1.) So by the formula above, substituting for the values ​​given in the statement, then:

[tex](y - 120) = -2(x - 7)[/tex]

2.) The equation in slope intercept form will be:

[tex](y - 120) = -2(x - 7)\\(y - 120) = -2*x + (-2*-7)\\y - 120 = -2x + 14\\y = -2x + 134[/tex]

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Answer: You lay out the 3 demential shape into a net then find the area of the net. There are 2 surfaces that are 81 square feet. and 4 surfaces that are 18 feet. 81 + 81 + 18 + 18 + 18 + 18 = 234.

The surface area is 234 Square Feet. Hope this helps and brainliest is always appreciated. :)

Answer: 234

Step-by-step explanation:

Surface area of a rectangular prism: 2lengthheight + 2lengthwidth + 2heightwidth

Length: 9 | Height: 9 | Width: 2

2(9x9) + 2(9x2) + 2(9x2) = 234

Answer:

52.3 litres.

Step-by-step explanation:

The car consumption is 75/20 = 3.75 km/litre.

Volume of petrol needed to travel 196 km

= 196 / 3.75 = 52.3 litres.

Answer:

127.3

Step-by-step explanation:

The formula you gave is is known as the Pythagorean Theorem.

It is used to find the hypotenuse (longest side) of a right triangle with the lengths of the other two legs (sides).

Here, a is the hypotenuse of two adjacent triangles. Both triangles are right triangles, and have legs (not including the hypotenuse) of 90 ft.

Now, the formula is a^2 + b^2 = c^2.

A and b are the two shorter legs of the triangle: 90 and 90. Let's insert these values into the formula.

90^2 + 90^2 = c^2

90^2 is 8100, and 8100 plus 8100 is 16200.

16200 = c^2 (c is the hypotenuse, or a)

Now, we just have to find the square root of 16200.

sqrt16200=127.27....

When we round this to the nearest tenth, we get 127.3.

km + 5x = 6y

Subtract 5x from each side:

km = 6y - 5x

Divide both sides by k:

m = 6y - 5x / k

Answer:

Step-by-step explanation:

m=-5x/k+6y/k

Answer:

(- 2, - 1)

Step-by-step explanation:

To determine which ordered pair is a solution of the inequality, substitute the x-coordinate into the left side and compare validity with the y-coordinate

(- 2, - 1)

- 6 + 5 = - 1 = - 1 → (- 2, - 1) is a solution

(2, - 1)

6 + 5 = 11 > - 1 → (2, - 1) is not a solution

(3, - 5)

9 + 5 = 14 > - 5 → (3, - 5) is not a solution

(- 3, - 5)

- 9 + 5 = - 4 > - 5 → is not a solution

The only pair that makes the inequality true is (- 2, - 1 )

Answer:

c = 36

Step-by-step explanation:

Use the formula (b/2)^2 to solve for the max or min.

ax^2 + bx + c

b = 12

(12/2)^2

6^2 = 36

You can check you work

y = x^2 + 12x + 36

y = (x + 6) (x + 6) It works!

Answer:

D  36

Step-by-step explanation:

Answer:

Alright well solve for a by multiplying both sides of the equation, then isolating the variable

a = 2b/5 + c/5 Hope this helps have a nice day :)

Step-by-step explanation:

Answer:

D. The plumber charges a flat rate of $75.

Step-by-step explanation:

The vertical intercept is the point where the data intersects the vertical axis.  The vertical axis will be the dependent variable, and the horizontal axis will be the independent variable.  

In this situation, the total cost depends on how many hours the plumber works; this means that the total cost is the dependent variable, going on the vertical axis, and the number of hours is the independent variable, going on the horizontal axis.

The vertical intercept, since it is on the vertical axis, will be where the horizontal axis is 0.  In this situation, this means the cost when the plumber has been there 0 hours; this is the flat-rate fee he charges, $75.

Answer:

87857570

Step-by-step explanation:

Answer:

The possible outcome could be 4 or 3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

There are 12 possible outcomes. Of the 12, 6 are even and 4 have B's. That would give up 10/12. But then you would subtract the possible outcomes that are BOTH even AND have a B. Only 2 possible outcomes have an even number and the letter B. So 10 minus 2 is 8. That would give you 8/12. Simplify and you will get your answer of 2/3!

Just took the test, so trust me on this fellow K12ers!

Answer:

Yes, see attached plot

Step-by-step explanation:

Answer:

-29

Step-by-step explanation:

-b+5y

We know that b=4 and y= -5

We can substitute these into the expression

-(4) +5(-5)

-4 -25

-29

Answer:

eight hundred thirty four thousand two hundred nine

All you got to do is write the places and the number.

Plzzz mark brainlest and thank em would be very much thankful

Answer:

2x2=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

You plot 13/8 on 1 and 5/8

You plot 20/8 on 2 and 4/8 also known as 1/2

Answer:

It will cost Lou $28.86 to fill the tank

Step-by-step explanation:

Lou's tank holds 14 gallons.  It has 6.2 gallons in it.  

14- 6.2  = 7.8

Lou can put in 7.8 gallons to fill it.

7.8 gallons and $3.70

7.8 * 3.7 = $28.86

It will cost Lou $28.86 to fill the tank

Answer:

XD ok first cause u need to know how to do this (-)negetive numbers r eazy its just backwards from other numbers, if the the number has a (-) then just remember its smaller if the number is big so if it say -5 and -4 which one is grater or something its realy the smaller one cause it has a (-) so the answer would be -4 is bigger. ok so for your Q the smallest to gratest would be fist the biggest normal number that dose not have a (-) then after that you do the (-) numbers... - 5.25 is bigger , but it has a (-) so its realy actualy smaller, and -5.09 is bigger that -5.25 because its smaller with a (-) SO THE ANSWER to your Q is: -5.25, -5.09, 1.002

Step-by-step explanation:

Answer: C . sin55/8 = sin30/b

Answer:

C. [tex]\frac{\text{Sin 55}^{\circ}}{8}=\frac{\text{Sin 30}^{\circ}}{b}[/tex]

Step-by-step explanation:

We have been given that in triangle ABC, mA 55, mB-30, and a 8. We are asked to find the equation that we can use to solve the length of side b.

We will use law of sines to solve our given problem.

[tex]\frac{\text{Sin A}}{a}=\frac{\text{Sin B}}{b}=\frac{\text{Sin C}}{c}[/tex], where A, B and C represents angle of a triangle corresponding to sides a, b and c respectively.

Upon substituting our given values in law of sines we will get,

[tex]\frac{\text{Sin 55}^{\circ}}{8}=\frac{\text{Sin 30}^{\circ}}{b}[/tex]

Therefore, the option C is the correct choice.

Answer:

1 meter = 39.370 inches.....so 5 meters = (5)(39.370) = 196.85 inches

Answer:

9/w=x(your result)

x-v=( your final answer )

Please mark my answer as brainliest

Step-by-step explanation: