Ask question

Ask question

All categories

Irina-Kira [14]

3 years ago

5

Match the following items.

2 answers:

Margarita [4]3 years ago

8 0

1. Commutative property of adfition

2. Multiplicative inverse

3. Associative property of addition

4. Distributive property

5. Additive identity

sukhopar [10]3 years ago

6 0

Answer:

1-------------- Commutative property of addition

You can commute the terms in a addition, so doesn't matter wat therm goes left or right,

2 ------------ is multiplicative inverse

Each number X has another number Y so X*Y=1

3-------------- Associative property of addition

When you have parentheses in this type of addition, the order in what you do te equation doesn't matter

4 ------------- distributive property

You can distribute the multiplication here, so x(a +b) = x*a + x*b

5 ------------ Additive identity

There exist one number a so for every number x, x+a = x, and the number a is te zero.

You might be interested in

Which set of polar coordinates describes the same location as the rectangular coordinates (-3,3)

Readme [11.4K]

To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:

r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).

6 0

3 years ago

Read 2 more answers

What are the factors PLEASE HELP!!!

elena55 [62]

Answer:

The answer is (x-6) squared

4 0

3 years ago

Can you Simplify radical

MAVERICK [17]

Answer:

4

Step-by-step explanation:

4 X 4 + 16

4 0

3 years ago

find the curved surface area and total surface area of a right circular cylinder whose height is 15 cm and the radius of the bas

otez555 [7]

Answer:

$CSA = 660cm^2$ --- Curved Surface Area

$TSA = 968cm^2$ --- Total Surface Area

Step-by-step explanation:

Given

Shape: Cylinder

$h = 15$ -- height

$r = 7$ --- radius

Solving (a): The curved surface area (CSA)

This is calculated as:

$CSA = 2\pi rh$

This gives:

$CSA = 2 * \frac{22}{7} * 7 * 15$

$CSA = 2 * 22* 15$

$CSA = 660cm^2$

Solving (b): The total surface area (TSA)

This is calculated as:

$TSA = 2\pi r(h + r)$

This gives:

$TSA = 2 * \frac{22}{7} * 7 * (15 + 7)$

$TSA = 2 * 22 * (15 + 7)$

$TSA = 2 * 22 * 22$

$TSA = 968cm^2$

6 0

3 years ago

Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = x^2 - x + 1 text( on ) [1,8]; M = 21 c =

DanielleElmas [232]

Answer:

$c = 5$

Step-by-step explanation:

Given

$f(c) = M$

$f(x) = x^2 - x + 1$

$Interval: [1,8]$

$M = 21$

Required

Find c using Intermediate Value theorem

First, check if the value of M is within the given range:

$f(x) = x^2 - x + 1$

$f(1) = 1^2 - 1 + 1$

$f(1) = 1$

$f(x) = 8^2 - 8 + 1$

$f(x) = 57$

$1 \le M \le 57$

$1 \le 21 \le 57$

M is within range.

Solving further:

We have:

$f(c) = f(x) = M$

$f(x) = 21$

Substitute 21 for f(x) in $f(x) = x^2 - x + 1$

$21 = x^2 - x + 1$

Express as quadratic function

$x^2 - x + 1 - 21 = 0$

$x^2 - x - 20 = 0$

Expand

$x^2 + 4x - 5x - 20$

$x(x+4)-5(x+4)=0$

$(x - 5)(x+4) = 0$

$x - 5 = 0$ or $x + 4= 0$

$x = 5$ or $x = -4$

The value of $x = -4$ is outside the $Interval: [1,8]$

So:

$x = 5$

$f(c) = f(x) = M$

$f(c) = f(5) = 21$

By comparison:

$c = 5$

4 0

3 years ago