If i want to show two lines are parallel what formula do i use?

If k represents a number then write an expression for the ratio of 3 less than k to 2 more than k

EleoNora [17]

The key words you should notice when looking at this word problem are “less than.” This means that the order is flipped, so “3 less than k” means “k minus 3.”

The expression for the ratio is k-3:k+3

Hope this helps

3 0

4 years ago

Point b is the midpoint of ac-. if ab= 4x+2 and ac=10x-6, find the length of ac

Natasha2012 [34]

let's bear in mind that B is the midpoint and thus it cuts a segment into two equal halves.

$\bf \underset{\leftarrow \qquad \textit{\large 10x-6}\qquad \to }{\boxed{A}\stackrel{4x+2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{\underline{4x+2}}{\rule[0.35em]{10em}{0.25pt}\boxed{C}}} \\\\\\ AC=AB+BC\implies 10x-6=(4x+2)+(4x+2)\implies 10x-6=8x+4 \\\\\\ 2x-6=4\implies 2x=10\implies x=\cfrac{10}{2}\implies x= 5 \\\\[-0.35em] ~\dotfill\\\\ AC=(4x+2)+(4x+2)\implies AC=[4(5)+2]+[4(5)+2] \\\\\\ AC=22+22\implies AC=44$

3 0

3 years ago

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000,

Fynjy0 [20]

Answer:

C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

$\text{Machine A}=10\cdot 120(\$40)\\\text{Machine A}=\$48,000$

$\text{Machine B}=10\cdot \$100(\$40)\\\text{Machine A}=\$40,000$

Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:

$\text{Overall cost of machine A}=\$40,000+\$48,000+\$30,000$

$\text{Overall cost of machine A}=\$118,000$

$\text{Overall cost of machine B}=\$50,000+\$40,000+\$20,000$

$\text{Overall cost of machine B}=\$110,000$

Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.

6 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST

Tpy6a [65]

Answer:

$slop = \frac{2 - 1}{2 - 0} = \frac{1}{2} \\ for \: point \: x = 0 \: y = 1 \\ y - 1 = \frac{1}{2} \times (x - 0) \\ y = \frac{1}{2} x + 1$

4 0

3 years ago

Find two consecutive odd integers such that 36 more than the lesser is three times the greater

Fofino [41]

Two consecutive odd integers means there's a difference of 2 between the numbers. More than the lesser is adding to the lower integer (x). The greater is the larger integer (x+2). "Is" means equals. Times means multiply.

x= first integer
x+2= second integer

x + 36= 3(x + 2)
multiply 3 by everything in parentheses
x + 36= 3x + 6
subtract x from both sides
36= 2x + 6
subtract 6 from both sides
30= 2x
divide both sides by 2
15= x

x= 15 first consecutive odd integer

x+2= second consecutive odd integer
15+2= 17

ANSWER: 15, 17

Hope this helps! :)

3 0

3 years ago