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3 years ago

Find the slope of the line passing through each of the following pairs of points.

1 answer:

5 0

Look carefully at the first pair: (−3, 9), (−3, −5) Note that x does not change, tho' y does. This is how we recognize a vertical line (whose slope is undefined). The equation of this vertical line is x = -3.

Looking at the second pair: from (3,4) to (5,6), x increases by 2 and y by 2; thus, the slope is m = rise/run = 2/2 = 1.

Third pair: as was the case with the first pair, x does not change here, and thus the equation of this (vertical) line is x=0 (which is the y-axis). The slope is undefined.

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The area of a square is 64n36 square units. What is the side length of one side of the square?

storchak [24]

Answer:

Step-by-step explanation:

Since the formula for the area of a square is A = x^2, where x is the side length, x = √A.

If A = 64 square units, the side length is √64 units (8 units)

If A = 36 square units, that length is √36 units (6 units)

5 0

3 years ago

Find f if f′(x)=2x−3/x^4, x>0 and f(1)=2.

slavikrds [6]

$f'(x)=2x-\dfrac3{x^4}$
$\displaystyle\int f'(x)\,\mathrm dx=\int\left(2x-\frac3{x^4}\right)\,\mathrm dx$
$f(x)=x^2+\dfrac1{x^3}+C$

Given that $f(1)=2$ , we get

$2=1^2+\dfrac1{1^3}+C$
$2=2+C$
$\implies C=2$

so that

$f(x)=x^2+\dfrac1{x^3}$

8 0

3 years ago

I NEED AN ANSWER PLEASE :(((

Alekssandra [29.7K]

Answer:

80 lemons

Step-by-step explanation:

Let x represent the amount of lemons that were on the tree.

We can use this to set up an equation:

$40\%x=32$

Note that percentages can also be written as that number over 100.

$\frac{40}{100}x=32$

Simplify the fraction.

$\frac{2}{5}x=32$

Multiply both sides by 5

$2x=160$

Divide both sides by 2

$x=80$

There were 80 lemons on the tree before he picked the lemons.

6 0

2 years ago

Tom is 45 and pays $2042 on his mortgage each month while his total take home pay is $5950 per month. The national average, for

Scrat [10]

Take the amount that he pays for his mortgage, so $2042, and divide that by his total pay, $5950. You’ll get .34016907. Then to make a decimal into a percentage, you multiply it by 100. This gives you 34%, meaning he spends less than the national average on housing.

6 0

3 years ago

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Mars2501 [29]

Answer:

-6

Step-by-step explanation: dont know, did math. this is the answer on edge

6 0

3 years ago

Read 2 more answers