All categories

3 years ago

Simplify the expression: 2+(a +5) =

Mathematics

2 answers:

nekit [7.7K]3 years ago

6 0

Answer:

a+7

Step-by-step explanation:

2 + 5 = 7
7+a or a+7

Nataliya [291]3 years ago

6 0

Answer:

a=-7

Step-by-step explanation:

first we do commutative property of real number

the expression becomes ;

2+(7+a)=

then association property follow-up

(2+7)+a=

7+a=

then we minus 7 to both sides

7-7+a=-7

0+a=-7

a=-7

You might be interested in

Find the scale factor of the dilation. Then tell whether the dilation is a reduction or and enlargement...

faltersainse [42]

Scale factor is 1/3
And I think it's an enlargement

5 0

3 years ago

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

I need the answers for this please

Ilia_Sergeevich [38]

Answer:

A AND B IS TRUE C IS FALSE

Step-by-step explanation:

6 0

3 years ago

Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going

Tju [1.3M]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities a

tester [92]

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

3 0

3 years ago