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4 years ago

The difference between the areas of the figures is less than 4.

Mathematics

1 answer:

KengaRu [80]4 years ago

5 0

Answer:

We know that:

If T = area of the triangle

and R = area of the rectangle:

I T - RI < 4.

Now, we know that:

T = 8*6/2 = 8*3 = 24

R = 4*(x - 4) = 4*x - 16

Then replacing those values, we can write:

I24 - (4*x - 16)I < 4

I40 - 4*xI < 4

Now let's solve it:

First we aim for the first value that is not a solutions, this is when:

I40 - 4*xI = 4

we can write this as:

40 - 4*x = +-4

The first extreme is:

40 - 4*x = +4

x = (40 - 4)/4 = 9

The other extreme is:

40 - 4*x = -4

x = (40 + 4)/4 = 11.

Then the set of solutions is: S = (9, 11)

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Use substitution to solve the linear system of equations.

zzz [600]

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-10x + 2y = -30 (2)
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3 years ago

How do you implicitly differentiate: sqrt(xy)=x^2y+1

Furkat [3]

Implicit expression refers to equation that are not strictly expressed in terms of y and x separately. In this case, the derivative of expression
sqrt(xy)=x^2y+1 is

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dy (x^2 - 0.5 (x/y) ^0.5) = dx (2xy - 0.5 (y/x)^0.5)
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3 years ago

The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95. Round each rate to the nearest hu

beks73 [17]

Answer:

$2.79 per pound of apples.

0.36 pounds per dollar.

The unit rate representing cost of per pound apples is typically used.

Step-by-step explanation:

We have been given that the weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95.

Since we know when rates are expressed as a quantity of 1, such as 100 meter per second or 5 miles per hour, they are called unit rates. We need to have 1 in our denominator to express two quantities as unit rate.

Let us find the unit rate in terms of cost of per pound bag of apples.

$\text{Unit rate as the cost of organic apples per pound}=\frac{\$13.95}{5 \text{ pounds of organic apples}}$

$\text{Unit rate as the cost of organic apples per pound}=\frac{\$2.79} {\text{ pound of organic apples}}$

Therefore, our unit rate will be $2.79 per pound of apples.

Let us find unit rate of pounds of apples per dollar.

$\text{Unit rate as the pounds of organic apples per dollar}=\frac{5\text{ pounds of organic apples}}{\$13.95}$

$\text{Unit rate as the pounds of organic apples per dollar}=\frac{0.3584 \text{ pounds of organic apples}}{\$}$

$\text{Unit rate as the pounds of organic apples per dollar}\approx \frac{0.36 \text{ pounds of organic apples}}{\$}$

Therefore, our another unit rate will be 0.36 pounds per dollar.

Since, we purchase apples or other items according to their price per piece or their price per pound in our daily life, therefore, the unit rate representing cost of per pound apples is typically used.

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3 years ago

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Andreas93 [3]

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3 years ago

What is the value of -33 over 9+2

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Answer:

Step-by-step explanation:

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3 years ago