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3 years ago

What is the constant of proportionality? 48= 4k

Mathematics

2 answers:

asambeis [7]3 years ago

7 0

Answer:

K=12

Step-by-step explanation:

First you know that what ever is being multiplied, it’s being done so by 4.

So you can divide the answer by the coefficient (the number in front of the variable. Which in this case is 4)

48 divided by 4 is equal to 12!

iogann1982 [59]3 years ago

4 0

Answer:

The constant of proportionality 48 = 4k is 12

Step-by-step explanation:

$k = \frac{y}{x}$

$k = \frac{48}{4} \\ \\ k = 12$

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what is the coordinate of point A after being rotated 90° clockwise, if the coordinates to begin with are (-8,-1)

lys-0071 [83]

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4 years ago

The product of (a + b)(a − b) is a2 − b2. (1 point) Sometimes Always Never

jenyasd209 [6]

ANSWER

$\boxed{Always}$
EXPLANATION

The given product is

$( a - b)(a + b)$

This is always equal to

${a}^{2} - {b}^{2}$

The identity

$( a - b)(a + b) = {a}^{2} - {b}^{2}$

is called difference of two squares.

We can verify this by simply expanding the brackets using the distributive property to obtain,

$( a - b)(a + b) = a(a + b) - b(a + b)$

$( a - b)(a + b) = {a}^{2} + ab - ab- {b}^{2}$

This simplifies to

$( a - b)(a + b) = {a}^{2} - {b}^{2}$

6 0

3 years ago

Read 2 more answers

3. Study the numerical expression 7 x (9-3). Which one of the following expressions is equivalent to this numerical expression?

Nezavi [6.7K]

Answer:

Step-by-step explanation:

First step is to do whatever is in the parentheses: 9-3.

Then you will multiply 7 by that number; which will give you the answer.

B is correct because it does it that way.

7 0

4 years ago

What is the equation for axis of symmetry? HELP ASAP

Degger [83]

Answer:

x=3

Step-by-step explanation:

You have to look at the line(axis of symmetry) and determine what number it is it going thought, and whether it is going through the x or y axis.

In this case the axis of symmetry is going through the x axis and 3, therefore the answer is x=3.

Hope this helps!

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3 years ago

Read 2 more answers

Write the equation of the line that passes through the two points: (-4, 11) and (2,-4)

snow_tiger [21]

Answer:

y= - $\frac{5}{2}$ x+1

Step-by-step explanation:

Utilize the formula of $\frac{y2-y1}{x2-x1}$ to find the distance between two points, or in this case, the equation of the line that passes through two points.

Applying the given points to identify the slope

1. Plug the coordinates into the y and x values. $\frac{-4-11}{2+4}$ =- $\frac{15}{6}$ .

1.5. Simplify; divide both the numerator and the denominator by 3. - $\frac{5}{2}$ .

Applying slope and a point to find the y-intercept of the equation of a line

1. Utilize the formula of y=mx. Though this sounds strange, morph the sign of equality into subtraction.

1.5. Result: y-mx

2. Do this for both points.

First point: (-4,11)

y-mx

11 + $\frac{5}{2}$ (-4)

11 + -10 (11-10)

Plug the result and the slope into y=mx+b to find the slope of the line.

Result: y=- $\frac{5}{2}$ x+1.

Check your answer to confirm that the value of y is true for both points

1. Do the same thing you did with the first point, but use the second point this time.

y-mx

-4 + $\frac{5}{2}$ (2)

-4 + 5

Plug the result and the slope into y=mx+b to find the slope of the line.

Result: y=- $\frac{5}{2}$ x+1. Identical to point one's result.

In conclusion, both of the results are the same. Therefore, the equation of the line must be y=- $\frac{5}{2}$ x+1.

3 0

4 years ago