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3 years ago

10PTS pls help me on this math problem and pls explain how you did it.

Mathematics

2 answers:

erastovalidia [21]3 years ago

4 0

Answer:

y = 8

Step-by-step explanation:

Line1 with points (4, 1) and (0, 0):

slope = (y₂ - y₁) / (x₂ - x₁)

= (0 - 1) / (0 - 4)

= 1/4

Perpendicular line is opposite inverse so original slope 1/4 becomes -4/1 or simply -4.

Line2 with points (1, 0) and (-1, y):

slope = (y₂ - y₁) / (x₂ - x₁)

= (y - 0) / (-1 - 1)

= y / -2

y must equal to 8 for the slope to be -4 as stated above.

ivann1987 [24]3 years ago

4 0

Answer:

Step-by-step explanation:

First, you need to find the slope of the first line by using point slope formula (y2-y1) = m(x2-x1)

0 - 1 = m(0-4)

-1 = -4m

--- ----

- 4 -4

1/4 = m (slope)

Because the first line is perpendicular to the second line, the slope of the second line is the inverse. 1/4 ----> - 4/1

y - 0 = -4(-1-1)

y - 0 = -4(-2)

y = 8

These are the line equations:

y = -4x + 7

y = 1/4x

I think this is right but if anyone sees something wrong or needs more clarification please comment!

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Steve invested money in the stock market. In the first year, his stock increased 50%. He paid his stockbroker $350 and then lost

telo118 [61]

Answer:

Original amount invested = $3400 .

Step-by-step explanation:

Let the original investment of Steve = $x

Stock increased in the first year = 50% of amount invested

Therefore total amount after one year = x + 0.5x = 1.5x

Commission paid to the stock broker = $350

Amount lost by him = $400

Amount withdrawn by him = $300

Total amount decreased from the amount after 1 year

= 1.5x - (350 + 400 + 300)

= 1.5x - 1050

This remaining amount is doubled, so the final amount

= 2(1.5x - 1050)

= 3x - 2100

This final amount is equal to $8100

3x - 2100 = 8100

3x = 8100 + 2100

3x = 10200

x = $3400

Therefore original amount invested in the stock market was $3400 .

8 0

3 years ago

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$