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3 years ago

What is the equation of the line that passes through the point (-2,0) and has a slope of 5/2?

Mathematics

1 answer:

liq [111]3 years ago

7 0

Answer:

Step-by-step explanation:

y - 0 = 5/2(x + 2)

y = 5/2x + 5

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Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

(a) Length of AB

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

(b) Are AB and CD congruent

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

3 years ago

A boat costs $11,850 and decreases in value by 10% per year. How much will the boat be worth after 8 years?

arsen [322]

11,850 x .9 = 11,605

11605 x . 9 = 9,598.5   year 2

9,598.5 x .9 = 8,638.65

8,635 x .9 = 7,774.785 year 4

7,774.785 x .9 = 6,997.31

6,6997.31 x .9 = 6297.58   year 6

6297.58 x .9 = 5,667.82

5,667.82 x .9 = 5,101.04 year 8

The answer is D

8 0

3 years ago

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A pebbe falls into a pond. From the surface, it descends atf a rate of two feet get around. Where us the pebble in relation to t

Rashid [163]

The pebble slowly falls and it's in the middle of the surface and bottom

4 0

3 years ago

Determine the solution to the following system of equations: 2x+4y=-12 x+2y=-2

jolli1 [7]

Answer:

undefined/no solution

Step-by-step explanation:

you use elimination to solve. So multiply 2x+4y=-12 by 1 and x+2y=-2 by 2. then you subtract 2x+4y=-12 by 2x+4y=-4 and get 0y=-8. Anything divided by 0 is undefined/no solution because you can't divide anything by 0.

4 0

3 years ago

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A cylinder has a base area of 44.6 mm2 and a height of 24 mm.

Free_Kalibri [48]

Volume of cylinder = base area x height
= 44.6 x 24
= 1070.4 mm³

7 0

3 years ago

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