A grid shows the position of a subway stop at your house. The subway stop is located at (-5, 2) and your house is located (-9,9). What is the distance, to the nearest unit, between your house and the subway stop?

Answers

Answer 1

Answer: $A(-5;\ 2);\ B(-9;\ 9)\n\n|AB|=√((-9-(-5))^2+(9-2)^2)=√((-4)^2+7^2)=√(16+49)\n\n=√(65)\approx8\ (units)$

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A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item. Write an expression for the revenue generated by selling x items. How many items would you need to sell to break even? Write an equation and solve it.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.

The net income formula:

y= (5 - 4)x - 120

(5-4)= contribution margin per unit sold (x)

120= fixed costs

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 120 / 1

Break-even point in units= 120 units

Prove:

y= 1*120 - 120

y= 0

A stack of paper contains 400 sheets. The volume of the stack is 140.25 cubic inches. Each sheet of paper is identical, with a length of 11 inches and a width of 8.5 inches. Find the height of each sheet of paper. Please put the process.

Answers

Answer:

$0.00375\ \text{inches}$

Step-by-step explanation:

Volume of the stack of paper is 140.25 cubic inches

The length and width of the stack will be equal to that of a single sheet of paper so

$l=11\ \text{inches}$

$w=8.5\ \text{inches}$

Let $h$ be the height of the stack.

Volume of the stack would be

$lwh=140.25\n\Rightarrow h=(140.25)/(lw)\n\Rightarrow h=(140.25)/(11* 8.5)\n\Rightarrow h=1.5\ \text{inches}$

So the stack has a height of 1.5 inches. Now there are 400 sheet of paper in the stack.

Thickness of one sheet of paper is given by

$(1.5)/(400)=0.00375\ \text{inches}$

Hence, the height of each sheet of paper is $0.00375\ \text{inches}$ .

Simplify this expression: 19 – (–8) – (–14) = ?
A. 41
B. –7
C. –3
D. 25

Answers

When you are subtracting a negative, you treat it as if you are adding a positive. So 19-(-8) would be 19 + 8 which is 27. Then do the same thing with the 14, so instead of 27 -(-14) it's 27 + 14 which is 41. So your answer is 41. I hope this helps! XD

Which expression could be substituted for y in the second equation to find the value of x?2x - y = - 10
2x - 3y = 1

Answers

Answer:

x=31/4,y=−11/2

The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m, find the length of a leg

Answers

The length of the legs of this isosceles triangle is 19 meters.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know an isosceles triangle has two equal sides and their opposite angles are also equal.

Given, The leg of the isosceles triangle is two less than three times the length of its base.

Assuming the base to be x meter,

∴ The other two legs are (3x - 2).

The perimeter of the triangle is 45 m and we know it is the sum of the lengths of all the sides.

So, (3x - 2) + (3x - 2) + x = 45.

7x - 4 = 45.

7x = 49.

x = 7.

So, the length of the legs are (3.7 - 2) = 19 meters.

learn more about triangles here :

brainly.com/question/16886469

#SPJ2

Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

What was Miguel's mistake if any?

Answers

Answer:

Step-by-step explanation:

According to my answer, he shound have computed 2^3 which is 8 and suibstract that from four getting four, then multiplying it by tow to get eight so it should be 4 so Miguel made no mistakes.Since he was doing the order of operations for each step of the equation.

Answer:

C. Miguel incorrectly multiplied before dividing in step 3.

Step-by-step explanation:

32 ÷ 2(2³ - 4)

Solving parenthesis and exponent.

32 ÷ 2(8 - 4)

32 ÷ 2(4)

The division is first, then multiplication.

32/2 (4)

16(4)

= 64

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