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3 years ago

Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5). (12, 18)

1 answer:

5 0

$\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ H(5,\ 13)\ \text{and}\ K(7,\ 5).\ \text{Substitute:}\\\\x=\dfrac{5+7}{2}=\dfrac{12}{2}=6\\\\y=\dfrac{13+5}{2}=\dfrac{18}{2}=9\\\\Answer:\ \boxed{(6,\ 9)}$

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Factor 60-36w60−36w60, minus, 36, w to identify the equivalent expressions.

Phoenix [80]

Answer: 60( 1 - 72)

Step-by-step explanation: i think it might be right so heres a proof

5 0

1 year ago

The point (3,6) is represented on the graph. Which point also belongs on this graph? (36,72)(35,75)(70,30)(42,85)

anygoal [31]

Answer:

The answer is (36,72)

3 0

3 years ago

una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la

seropon [69]

Answer:

The formula for calculating the width of the window is

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$

Step-by-step explanation:

<u><em>The question in English is</em></u>

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

$P=2(l+w)$

we have

$P=6\ m$

$6=2(l+w)$

simplify

$3=(l+w)$

isolate the variable l

$l=3-w$ ----> equation A

The area of the window is equal to

$A=lw$

we have

$A=2\ m^2$

$2=lw$ ----> equation B

substitute equation A in equation B

$2=(3-w)w$

solve for w

$2=3w-w^2$

$w^2-3w+2=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$w^2-3w+2=0$

$a=1\\b=-3\\c=2$

substitute in the formula

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$ ---> formula for calculating the width of the window

$w=\frac{3(+/-)\sqrt{1}} {2}$

$w=\frac{3(+/-)1} {2}$

$w=\frac{3(+)1} {2}=2\ m$

$w=\frac{3(-)1} {2}=1\ m$

7 0

3 years ago

The fish population in a local stream is decreasing at a rate of 2.5% per year. The original population was 45,000. Write an exp

Julli [10]

Answer:

y=45000(1-0.03)^x

Step-by-step explanation:

1) the exponential decay formula is

y=c(1-r)^x

where c= starting amount

r=rate of change

x=time

y=45000(1-0.03)^x

y=45000-1350x

4 0

3 years ago

A cell phone provider offers a plan that costs $40 per month plus $0.20 per text message sent or received. A comparable plan c

Svetradugi [14.3K]

You do the following.

Take the price of the most expensive subscription and retract the price of the cheap one.

$50-$40 = $10

Since we know what the price of a text message and the difference in dollars between the two subscriptions, we can calculate how many text messages has to be sent. We just divide the result from before ($10) with the price of a text message ($0.2)

$10/$0.2 = 50

The total number of text messages that needs to be send in order for the price of the subscriptions to be the same, is 50.

4 0

3 years ago