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Snowcat [4.5K]
2 years ago
15

Please help me I really need these to be answered. Whoever does it gets 100 points!

Mathematics
2 answers:
Anika [276]2 years ago
6 0

Answer:

1. C

2. B

3. B

4. A

5. B

Galina-37 [17]2 years ago
3 0

Answer:

1. C

2. B

3. B

4. A

5. B

Step-by-step explanation:

if u dont mind giving me brainliest im just tryna rank up.

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What is the factorise 3m-6
cupoosta [38]

The answer is:      "  3(m − 2)  "  .

__________________________________

  →  The "factorized version" of the binomial expression, " 3m − 6 " ,  is:

__________________________________

                →   "  3(m − 2) " .

__________________________________

Explanation:

To solve:

__________________________________

<u>Note</u>:  We are given the expression:  " 3m − 6 " ;

and we are asked to "factorize" this expression.

Note that this expression is a "binomial expression" — which means there are two (2) terms — in this case:   "3m" and "6" .

Since only one (1) of these 2 (two) terms has a variable, and the remaining terms is a "constant" (non-zero integer), write these 2 (two) terms as:

 1)  the coefficient of the variable given in the term shown with a "coefficient" :

       →   that is:  "3"  ;  and:

 2)  the other term:  "6" .

→  With the numbers:  "3 and 6" , we can factor out a "3" ;  

          →  {since:  " 6 ÷ 3 = 2 "} ;

 →   So;  given:  

               " 3m − 6 " ;  

 →   We can "factor out" a "3" ; as follows:

           →   Take the first term:  " 3m " :

                    " 3m  =  3 * m " ;

__________________________________

           →   Take the second term:  "  6 " :

                    "  6 = 3 * (what value?) ;

                 → divide each of this equation by "3" ;

    to isolate the "missing value" on one side of the equation; & to solve for the "missing value" ; as follows:

        →           "  6 / 3 = [ 3 * (what value?) ] / 3  ;

                    →  to get:  " 2  =  "(the missing value)"  ;

    →   So;    "  6 = 3 * (what value?) ;

           →     " 6 = 3 * 2 " .  

           →   Take the second term:  "  6 " :

           →     " 6 = 3 * 2 " .

__________________________________

So:    " 3m − 6 "  =  (3 * m) − (3 * 2) " .  

Factor out a "3" ;  as follows:

__________________________________

    →  " 3m − 6 "  =  (3 * m) − (3 * 2) " ;

                           =   " 3(m − 2)  "

__________________________________

Let us check our answer:

__________________________________

Note the "distributive property of multiplication"  :

__________________________________

        a(b + c) = ab +  ac ;  

        a(b − c) = ab −  ac ;

__________________________________

So:  Take our answer:  " 3(m − 2) " .

__________________________________

" 3(m − 2)  = ?  (3*m)  −  (3*2)  " ??  ;

__________________________________

Let us substitute "4" for "m" ;  in both sides of the equation;

              →  to see if the equation holds true;  i.e. to see if both sides of the equation are equal when:  " m = 4 " ;

__________________________________

 We have:

__________________________________

     →  " 3(m − 2)  = ?  (3*m)  −  (3*2)  " ??  ;

First let us rewrite this equation;  substitute "4" for "m" ; as follows:

     →   " 3(4 − 2)  = ?  (3*4)  −  (3*2)  " ??  ;

__________________________________

And calculate;  to see if each side of the equation is equal ; i.e. to see if the equation holds true; as follows:

     →   " 3(2)  = ?  (12)  −  (6)  " ??  ;

     →   "  6  = ?  (6)  " ??  ;

     →   "  6 = 6 " !  Yes!  The equation holds true!

__________________________________

Hope this answer was helpful!

Best wishes!

__________________________________

8 0
3 years ago
The diameter of a circle is 2 meters. What is the area?<br> Exact answer in simplest form
kow [346]

Answer:

22/7

Step-by-step explanation:

Diameter is 2m

we know,

radius= Diameter/2

r = d/2

r = 2/2

r = 1

Now,

area of circle= πr^2

22/7 * 1^2

22/7 ....... answer

7 0
3 years ago
Read 2 more answers
Kelly went bowling five times during the summer. Her scores were 130, 160, 120, 213, and 220. If she wanted to misrepresent the
Masja [62]
Of course it is c. range would show the difference between the highest and lowest scores, there is no mode in her data set, and the median is the middle point of the data set

3 0
2 years ago
The saddleback Seahawks football team gained 37 yards in the first quarter of the game, they lost 88 yards in the second Quarter
vivado [14]
Loss of yards

37 - 88 - 105 + 12 = -144
8 0
3 years ago
Which solids have infinitely many planes of symmetry? Check all that apply. right square pyramid cube right cylinder right hexag
allsm [11]

The answer is: Sphere and Right cylinder.

The explanation for this answer is shown below:

By definition, the numbers of planes of symmetry depends of each solid (a figure of three dimensions). The plane of symmetry divides the solid into two congruent halves which have mirror images.

Based on the information above, a cube has nine plane of symmetry, a square pyramid has four planes of symmetry, the hexagonals prims have thirteen and the spheres a cylinders have infinite number of plane of symmetry.

8 0
3 years ago
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