How do you the distributive property to write an equivalent expression for 2(9+5k).

Answers

Answer 1
Answer: 2 ( 9 + 5 K ) :

2*9 + 2 * 5 k

= 18 + 10 k

hope this help!!
Answer 2
Answer: 2(9) + 2(5k)
18 + 10k

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What is the domain for the piece of the function represented by f(x)=x+1

Answers

Answer:

(-∞, ∞)

Step-by-step explanation:

As you can see for each value of x , f(x) is defined

example , for x = -8000 , f(x) is defined to be -7999.

                 for x = 0 , f(x) is defined to be 1.

                 for x = 8000 , f(x) is defined to be 8001.

Also,

By its graph , Which is a straight line , So, it is defined everywhere

Thus,

its domain is(-∞, ∞)

Clint bought 3 T-shirts at $9 each and 2 pairs of shorts at $12 each. Explain how to find the total Clint spent.

Answers

total cost=shirtcost+shortscost

shirtcost=number of shirts time cost per shirt
shirtcost=3 times 9=$27

shortscost=number of shirts times cost per short
shortcost=2 times 12=$24

total cost=27+24=51

total is $51
You need to use multiplication.

3 x 9 = 27

2 x 12 = 24

Now add 24 and 27 wich make 51.

-6z+12 factor out the coefficient of the variable

Answers

reverse distributive
ab+ac=a(b+c)
factor each
-6z=-1*2*3*z
12=2*2*3

so common is
2*3=6
6=a
-6z/6=-1z
12/6=2
6(-z)+6(2)=6(-z+6)

Write an inequality for each situation. The temperature is below 40 f

Answers

< = less than
t<40
t = temperatur
< = less than
40 = the temperature limit

Bradley solved the following equation: 4(5x – 6) = 2(8x + 10) Step Work Justification 1 20x – 24 = 16x + 20 2 4x – 24 = 20 3 4x = 44 4 x = 11 Which of the following has all correct justifications Bradley used to solve this equation? 1. Associative property of addition. 2. Subtraction property of equality. 3. Addition property of equality. 4. Multiplicative inverse. 1. Associative property of addition. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality. 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Multiplicative property of equality. 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality.

Answers

Solution:

The equation solved by Bradley is

→4(5x – 6) = 2(8x + 10)

Step Work  

1. 20 x – 24 = 16 x + 20    → [ Distributive property]

Taking variable on one side of equation

2 . 4 x – 24 = 20  → [Subtraction property of equality.]

Taking constant on one side of equation

3 . 4 x = 44 →[Addition property of equality.]

Dividing both sides by 4

4 . x = 11          → [Division property of equality.]

Out of all the four options given ,Fourth option [ 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality ], completely satisfies the work done  in equation.

Find the leg of each isosceles right triangle when the hypotenuse is given the measure 12 cm

Answers

Answer:16.97cm

Step-by-step explanation:

To find the hypotenuse side of an isosceles of side 12cm each

Using pythagoras theorem

hyp^2=opp^2+adj^2

hyp^2=12^2+12^2

Hyp^2=144+144

hyp=√288

Hyp=16.97cm