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3 years ago

What variable stands for the constant in this equation? y = kx

Mathematics

2 answers:

Norma-Jean [14]3 years ago

7 0

Answer:

Equation:

The number that is not attached to a variable is considered a constant.
A constant is a number on it's own.

In the equation y = kx, y represents the constant because y is not attached to a number or variable.

- zyxx

jeka943 years ago

6 0

Answer: constant of proportionality - the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.

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2 + 10 = 24 3 + 6 = 27 7 + 2 = 63 5 + 3 = ????

True [87]

Answer:

40

Step-by-step explanation:

2 + 10 = 24

2(2 + 10) = 2×12 = 24

3 + 6 = 27

3(3 + 6) = 3×9 = 27

7 + 2 = 63

7(7 + 2) = 7×9 = 63

5 + 3 = 40

5(5 + 3) = 5×8 = 40

7 0

3 years ago

Frank weighs 160 pounds and is on a diet to gain two pounds a week so that he can make the football team. John weighs 208 pounds

gladu [14]

Answer: If Frank and John can meet these goals with their diets , they will weigh same after 9.6 weeks and they will weigh 179.2 pounds.

Step-by-step explanation:

Let x = Number of weeks.

As per given question ,

Weight of Frank after x weeks = 160+2x (pounds)

Weight of John after x weeks = 208-3x (pounds)

When Weight of Frank= Weight of John

$\Rightarrow\ 160+2x= 208-3x$

$\Rightarrow\ 2x+3x= 208-160$

$\Rightarrow\ 5x= 48\Rightarrow\ x=\dfrac{48}{5}=9.6$

Weight of Frank after 9.6 weeks = 160+2(9.6) = 179.2 pounds

Weight of John after 9.6 weeks = 208-3(9.6)=179.2 pounds

Hence, If Frank and John can meet these goals with their diets , they will weigh same after 9.6 weeks and they will weigh 179.2 pounds.

3 0

3 years ago

The diameter of the inscribed circle in a regular hexagon is 4√3 inches long. What is the perimeter of this regular hexagon?

barxatty [35]

Answer:

12√3 inches or 20.785 inches.

Step-by-step explanation:

A regular hexagon can be defined as a polygon with 6 sides.

The formula for the perimeter of a regular hexagon =

6 × the length of the sides of the hexagon.

From the above question, we are told that there is an inscribed circle I'm the hexagon with a diameter of 4√3 inches long

Step 1

Find the radius of the circle

Radius of the circle = 4√3/2 = 2√3 inches

Step 2

The radius of the inscribed circle = Length of one of the sides of a regular hexagon.

Hence, the perimeter of the regular hexagon = 6 × 2√3

= 12√3 inches

= 20.784609691 inches.

Approximately 20.785 inches

3 0

2 years ago

What is the maximum length of a rod that can fit into a box with dimensions 4 x 3 x 12in?

Stella [2.4K]

Should just be your largest dimension which is 12, right?

5 0

3 years ago

X2 + 45x = -200 Using the quadratic formual and the discirimnat

dybincka [34]

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

$b^{2}-4ac$

Every quadratic formula has the structure:

$ax^{2} +bx+c=0$

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

$x^{2} +45x+200=0$

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

$(45)^{2} -4(1)(200)$

Solve:

$2025-800=1225$

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

$x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}$