A rectangle has an area of 36 square units. As the length and the width change, what do you know about their product? Is this length proportional to the width? Justify your reasoning.

Answers

Answer 1
Answer: Area = 36 = length*width

Then, while the area is constant the product length*width is constant.

Length and area are inversely related.

That means that to keep the same product (area), length vary in inverse proportion to width.

If you increase length, widht has to decrease to satisfy this relation:

width = 36/length

Of course, you can also say: length = 36 / width.
Answer 2
Answer:

Answer:

its b i did it

Step-by-step explanation:

trust me its bbbbbbbbbbbb


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Three times a number, increased by 1, is 25

Answers

The answer is 8. 
8 x 3 = 24
24 + 1 = 25 
Hope I helped :)
8 times 3 = 24 + 1 = 25

The Distance between two towns is 120 Kilometers. There are aproximately 8 Kilometers in 5 miles Which measurement is closest between the number of miles between these two towns? Option 1: 75 miles Option 2: 70 miles Option 3: 80 miles Option 4: 85 miles

Answers

Answer:

Step-by-step explanation: Take 120 and divide it by 8 then multiply that by 5 and you get 75. its closest but 120 km is roughly 74.5 miles

Write expression as a complex number in standard form and show work [(13i)/(1-2i)]

Answers

the solution
let A = 13i /1-2i 
    so A = 
13i (1+2i) /(1-2i) ( 1+2i) = 13i (1+2i) /1² - (2i)² = 13i -26 / 1  
finally A = 13i -26 

A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.9%, predict how many of the phones are likely to be defective. Round to the nearest whole number

Answers

About 15 phones are likely to be defective.

Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

Answers

Answer:

y = (1)/(2) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

m_(perpendicular) = - (1)/(m) = - (1)/(-2) = (1)/(2)

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = (1)/(2) x + 1 ← equation of perpendicular line

Find the perpendicular distance from the point (3, -4) to the line 3x- 4y + 10 =0.​

Answers

Answer:

3x - 4y = -10

-4y = -3x - 10

y = (3/4)x + (5/2)

The slope of the perpendicular line will be -4/3.

From (3, -4), go up 4 units, then left 3 units. You will be at (0, 0), so the equation of this line is y = (-4/3)x.

(3/4)x + (5/2) = (-4/3)x

9x + 30 = -16x

25x = -30

x = -6/5, so y = (-4/3)(-6/5) = 24/15 = 8/5

d = √((3 - (-6/5))² + (-4 - (8/5))²)

= √((21/5)² + (-28/5)²)

= (1/5)√(21² + (-28)²)

= (1/5)√(441 + 784)

= (1/5)√1,225

= (1/5)(35)

= 7