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3 years ago

10

What equation do u use to find x, the length of the hypotenuse of the right triangle

2 answers:

torisob [31]3 years ago

5 0

To find the length of a hypotenuse of a right triangle you use the formula

a^2 + b^2 = c^2

a = opposite side

b = adjacent side

c = hypotenuse

Vladimir79 [104]3 years ago

4 0

A squared plus b squared equals c squared
To find the c you square root the c squared

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The estimated number of organisms in a population after t days is shown in the table below. t days estimated number of organisms

Lelu [443]

Answer:

The function $n=591.68(1.2056)^t$ best models the situation.

Step-by-step explanation:

The values in the table do not lie over a straight line because their slope is not a constant; for example

$m_1=\frac{1250=860}{4-2} =195$

$m_2=\frac{1850-1250}{2}=275$

we see here that $m_1\neq m_2$ therefore a linear equation cannot represent this situation.

The values in the table are increasing exponentially , therefore the equation modeling the situation will be of the form:

$n=ab^t$

we take two points from the table for evaluating $a$ and $b$ namely points $(2,860)$ and $(4,1250)$

thus we have

(1). $860=ab^2$

(2). $1250=ab^4$

From equation (1) we solve for $a:$

$a=\frac{860}{b^2}$

and put this value into equation (2)

$1250 =\frac{860}{b^2}b^4$

$b^2=\frac{1250}{860}$

$\boxed{b=1.2056}$

with this value $b$ , we solve for $a$ in equation (1):

$860=a(1.2056)^2$

$a=\frac{860}{(1.2056)^2}$

$\boxed{a=591.68}$

Thus we have the equation

$\boxed{n=591.68(1.2056)^t}$

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Answer: Whole= Part x %/100

Step-by-step explanation:

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Step-by-step explanation:

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chubhunter [2.5K]

Answer:

x-Intercept: 1

y-Intercept: $\frac{1}{2}$

Step-by-step explanation:

Step 1: Rearrange the equation x+2y=1 into y=mx+b

2y = -x + 1

$y=-\frac{1}{2}x +\frac{1}{2}$

Step 2: Find x and y intercept

We know the y intercept is at 'b' which is $\frac{1}{2}$

We know the x intercept is when y = 0 so we set y = 0 and solve for 'x'

$(0)=-\frac{1}{2}x +\frac{1}{2}\\-\frac{1}{2}=-\frac{1}{2}x \\\frac{-\frac{1}{2}}{-\frac{1}{2}} = -\frac{-\frac{1}{2}}{-\frac{1}{2}}x\\1=x$

So we know when y = 0 x is equal to 1

Therefore the x intercept is 1 and the y intercept is $\frac{1}{2}$

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