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Mathematics

1 answer:

Sholpan [36]3 years ago

8 0

No comprende amigo........................

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Find the distance between the two points -4,-5 and 2,3. Show your work.

rjkz [21]

Answer

Steps are included the distance formula is the square root of the equation (x2-x1)^2+(y2-y1)^2

$\sqrt{ \left( 2 - -4\right)^2 + \left( 3 - -5\right)^2}\\ \sqrt{ \left( 2 + + 0\right)^2 + \left( 3 + 5\right)^2}\\\sqrt{\left( 6\right)^2 + \left( 8\right)^2}\\\sqrt{ 36 + 64 }\\ \sqrt{ 100 } \approx 10$

your final answer is 10

6 0

2 years ago

Ming throws a stone off a bridge into a river below.

AURORKA [14]

Answer:

1 seconds after being thrown, the stone reaches its max height

Step-by-step explanation:

The parabolic (quadratic) equation is:

$h(x)=-5(x-1)^2+45$

Lets expand this in the form $ax^2+bx+c$ , so we have:

$h(x)=-5(x-1)^2+45\\h(x)=-5(x^2-2x+1)+45\\h(x)=-5x^2+10x-5+45\\h(x)=-5x^2+10x+40$

We can say the values of a,b, and c, now to be:

a = -5

b = 10

c = 40

The number of seconds at which the max would occur is given by the point, x, at:

$x=-\frac{b}{2a}$

We know a and b, let's find the seconds, x,

$x=-\frac{b}{2a}=-\frac{10}{2(-5)}=-\frac{10}{-10}=--1=1$

Hence,

1 seconds after being thrown, the stone reach its max height

6 0

2 years ago

Read 2 more answers

Please understand the explanation

aivan3 [116]

<em> $answer = 12.56 \: square \: km\\ radius = 4km \\ area \: of \: quarter \: circle = \frac{\pi {r}^{2} }{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3.14 \times {4}^{2} }{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3.14 \times 16}{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 12.56 \: square \: km \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment$ </em>