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3 years ago

Identify the line of reflection:

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

4 0

Answer:

x-axis

Step-by-step explanation:

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Choose the method to solve the problem below: There are members on a board of directors. If they must form a subcommittee of mem

shepuryov [24]

Answer:

b. 56

Step-by-step explanation:

Please consider the complete question.

There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?

We will use combinations for solve our given problem.

$^nC_r=\frac{n!}{r!(n-r)!}$ , where,

n = Number of total items,

r = Items being chosen at a time.

For our given scenario $n=8$ and $r=3$ .

$^8C_3=\frac{8!}{3!(8-3)!}$

$^8C_3=\frac{8!}{3!\cdot 5!}$

$^8C_3=\frac{8\cdot7\cdot6\cdot5!}{3\cdot2\cdot1\cdot 5!}$

$^8C_3=8\cdot7$

$^8C_3=56$

Therefore, 56 different subcommittees are possible and option 'b' is the correct choice.

4 0

3 years ago

Solve for all possible values of x.

KATRIN_1 [288]

Answer:

Option d) x = 25

Step-by-step explanation:

we have

$\sqrt{x-9}+4=8$

Solve for x

Subtract 4 both sides

$\sqrt{x-9}+4-4=8-4$

$\sqrt{x-9}=4$

squared both sides

$(x-9)=(+/-)4^2$

$(x-9)=(+/-)16$

Adds 9 both sides

$x=9(+/-)16$

$x1=9(+)16=25$

$x2=9(-)16=-7$

Verify

1) For x=25

$\sqrt{25-9}=4$

$\sqrt{16}=4$

$4=4$ ----> is true

therefore

x=25 is a solution

2) For x=-7

$\sqrt{-7-9}=4$

$\sqrt{-16}=4$

The radicand cannot be a negative number

therefore

x=-7 is not a solution

4 0

3 years ago

Read 2 more answers

Is 5/8 greater than 1/2

Leviafan [203]

Basically, you have five bigger pieces compared to five smaller pieces. So 5/8 is greater than 5/10. When the numerators are the same, we don't have to worry about converting any numbers. Let's look at like fractions (same denominators). SO YEAH

3 0

3 years ago

the utilities bill for the Miller's' house in April was $132. forty two percent of the bill was for gas, and the rest was for el

Lynna [10]

Hey You!

132*42% = 55.44

132 - 55.44 = 76.56

So, the Millers paid $55.44 for gas and $76.56 for electricity.

4 0

3 years ago

Read 2 more answers

Karen spends $600 on bills each month. Of this total, 10% is for phone, 1/4 is for internet, and 3/5 is for utilities. If the re

dalvyx [7]

Answer:

$30

Step-by-step explanation:

divide 600 by 10 to get 60

divide 600 by 4 to get 150

divide 600 by 5 to get 120, then multiply 120 by 3 to get 360.

600-60-150-360=30

3 0

3 years ago

Identify the line of reflection:​

Identify the line of reflection: