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2 years ago

16. Find the length of the median CD.

Mathematics

1 answer:

hodyreva [135]2 years ago

7 0

Step-by-step explanation:

16. Length of a line = sqaureroot of ((x1-x0)^2 - (y1- y0)^2)

C (2,-3) D (6,3)

CD = sqaureroot of ((6-2)^2 + (3-(-3))^2)

CD = sqaureroot of ( 16 + 36)

CD = sqaureroot of 52 = 2 root 13 = length

17. E (5, - 1) because the point is under the x axis.

Midpoint = ((x1+ x0)/2 , (y1 +y0) /2)

B (8,1) C (2, - 3)

Midpoint of BC = ((2+8)/2 , (-3+1)/2)

= (10/2 , - 2/2)

= (5, - 1)

18. Length of AE

A (4,5) E(5,-1)

Square root of ((5-4)^2 + (-1-5)^2)

Square root of (1^2 + - 6^2)

Square root of ( 1 + 36)

Square root of 37 = root 37

Please gimme brainliest

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Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

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2 years ago

(NEED HELP WITH NUMBER 1!!!)

alexandr1967 [171]

Answer:

35 ia the answer sorry if im wrong

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3 years ago

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Artist 52 [7]

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2 years ago

Which algebraic expression represents “the difference of fifty-four and seven times a number”?

JulsSmile [24]

Answer:

The difference of fifty-four and seven times a number is written as 54 - 7x.

Step-by-step explanation:

Given: expression “the difference of fifty-four and seven times a number”

We have to write the given algebraic expression represents “the difference of fifty-four and seven times a number”

Consider the given algebraic expression represents “the difference of fifty-four and seven times a number”

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And the difference of fifty-four and seven times a number is written as 54 - 7x.

Thus, The difference of fifty-four and seven times a number is written as 54 - 7x.

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3 years ago

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