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3 years ago

The width of a rectangular card is 2 cm lekss than the Tength. The area is 15 cm. Find the length and

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:

Step-by-step explanation:

Area A = 15square cm

Length L = x

Width w = x - 2

Area = L × w

15 = x(x - 2)

15 = x^2 -2x

x^2 -2x - 15 = 0

Solving by factorization

x^2 - 5x + 3x - 15 = 0

(x^2 -5x) + (3x -15) = 0

x(x - 5) + 3(x - 5) = 0

(x + 3)(x - 5) = 0

(x + 3) = 0 or (x - 5) = 0

x = -3 or 5

Since x can't be negative therefore x is 5cm

Length = 5cm

Width = 5-2 = 3cm

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If Paul ran 1.5 miles in 23 minutes, how long does it take him to run 1 mile?

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Answer:Idk

Step-by-step explanation:

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3 years ago

Add 3 feet 6 in add 3 feet 6 in + 8 ft 2 in + 4in + 2ft 5in what does that add up to

Troyanec [42]

Answer:

173 inches

Step-by-step explanation:

i don't entirely understand the question but i think you're trying to add 3 feet 6 inches + 8 feet 2 inches + 4 inches + 2 feet 5 inches?

(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)

i've added these parentheses in order to make it easier to see the grouped measurements. this isn't necessary but i'm just doing it to hopefully aid my explanation since there's so many terms in the expression!

start by converting everything to inches just to make the addition as well as showing your work easier. all you have to do is multiply the amount of feet by 12 because there are 12 inches in a foot! :)

(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)

for your first measurement, 3 feet 6 inches, convert 3 feet to inches by multiplying the amount of feet, 3, by 12.

3(12) = 36 (therefore 3 feet is equal to 36 inches!)

and add the remaining 6 inches.

36 + 6 = 42 (therefore 3 feet 6 inches is equal to 42 inches!)

(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)

for your second measurement, 8 feet 2 inches, convert 8 feet to inches by multiplying the amount of feet, 8, by 12.

8(12) = 96 (therefore 8 feet is equal to 96 inches!)

and add the remaining 2 inches.

96 + 2 = 98 (therefore 8 feet 2 inches is equal to 98 inches!)

(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)

nothing needs to be done to this quantity since it's already in inches.

(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)

for your fourth measurement, 2 feet 5 inches, convert 2 feet to inches by multiplying the amount of feet, 2, by 12.

2(12) = 24 (therefore 2 feet is equal to 24 inches!)

and add the remaining 5 inches.

24 + 5 = 29 (therefore 2 feet 5 inches is equal to 29 inches!)

now, here is the expression with everything in inches.

42 inches + 98 inches + 4 inches + 29 inches aka 42 + 98 + 4 + 29

now add everything up!

42 + 98 + 4 + 29 = 173 inches

your total is 173 inches! i hope this helps and i hope i explained it well enough. have a lovely day! <3

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3 years ago

Suppose that Y and Z are points on the number line.

Cerrena [4.2K]

Answer:

16-17 is the answer

although I am not sure

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3 years ago

Show me how to solve 10>x/2 +4

postnew [5]

Treat this as if the inequality sign was the same thing as an equal sign. Most of the equality rules apply to inequalities (with a few exceptions)

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$6>\dfrac{x}{2}$

Multiply both sides by 2

$2\times6>\dfrac{x}{2}\times2$

$12>x$

We want the unknown variable on the left side (because it looks nicer)

$x$

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3 years ago

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Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your

ololo11 [35]

No, they forgot to switch variable labels after solving for the independent variable...

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Now that you have solved for the independent variable x, you switch the variable labels...

y=(x-4)/-8

f^-1(x)=(x-4)/-8 which should really be rewritten as:

f^-1(x)=(4-x)/8 :P

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3 years ago

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