All categories

3 years ago

Property used in the equation 9+3+1

Mathematics

2 answers:

Tju [1.3M]3 years ago

4 0

Answer:

That is the<u> associative property</u>. In addition, it doesn't matter what order you add things in, so you can "associate" any grouping of additions and get the same result:

(a+b)+c = a+(b+c)

Note that this is true for multiplication as well:

(a*b)*c = a*(b*c)

Ne4ueva [31]3 years ago

3 0

Associative property

You might be interested in

A rectangle has a length of 6x-5y+1 if the perimeter of the rectangle is 16x-4y-4 determine an expression for its width

dimaraw [331]

Answer:

Width = 3y - 3

Step-by-step explanation:

P = 2l + 2w

12x - 4y - 4 = 2(6x - 5y + 1) + 2w

12x - 4y - 4 = (12x - 10y + 2) + 2w

6y - 6 = 2w

w = 3y - 3

4 0

2 years ago

Please answer this in two minutes

solniwko [45]

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

(8sqrt(3))^2 + b^2 = 16^2

64 * 3 + b^2 = 256

192 + b^2 = 256

b^2 = 64

b = 8

The ratio of the lengths of the sides of this triangle is

8 : 8sqrt(3) : 16

which reduces to

1 : sqrt(3) : 2

This is the ratio of the lengths of the sides of a 30-60-90 triangle.

m<W = 30 deg

5 0

3 years ago

3. Find the value of m for which the equation mx + 14 = 12 + 2 has one repeated root.

umka2103 [35]

Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.

<h3>What is the quadratic equation?</h3>

The quadratic equation is given as follows:

mx² + 12x - 12.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

If $\mathbf{\Delta > 0}$ , it has 2 real solutions.

If $\mathbf{\Delta = 0}$ , it has 1 real solutions.

If $\mathbf{\Delta < 0}$ , it has 2 complex solutions.

For this problem, the coefficients are:

a = m, b = 12, c = -12.

Hence the discriminant is:

b² - 4ac = 144 + 48m.

We want it to be of 0, hence:

144 + 48m = 0

m = -144/48

m = -3.

More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811

#SPJ1

7 0

2 years ago

The inequality below represents h, the number of hours Ellie need to work this week to earn at least $360 by the end of the mont

Gnom [1K]

Answer:

The answer to your question is 10 hours.

Step-by-step explanation:

Inequality 12h + 240 > 360

Solve the inequality as if it was an equation

12h > 360 - 240

12h > 120

h > 120 / 12

h = 10 hours

Let's evaluate some number of hours

If h = 3 12(3) + 240 > 360

36 + 240 > 360

276 > 360 Incorrect, she needs to work more

than 3 hours

If h = 5 12(5) + 240 > 360

60 + 240 > 360

300 > 360 Incorrect, she needs to work more

than 5 hours

If h = 7 12(7) + 240 > 360

84 + 240 > 360

324 > 360 Incorrect she needs to work more

than 7 hours

If h = 11 12(11) + 240 > 360

132 + 240 > 360

372 > 360 Correct, she needs to work at least

10 hours.

7 0

3 years ago

What is a radius of a circle given by the equation x²-2x+8y-47=0

Zolol [24]

First, we are going to rewrite it as a parabola equation.
Rewrite.
$8y=-x^2+2x+47$
Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

7 0

3 years ago

Read 2 more answers