Answer:
Step-by-step explanation:
Use midpoint formula to find the coordinates of each midpoint.
(x, y) = (½ (x₁ + x₂), ½(y₁ + y₂))
The coordinates of B and C are given.
Coordinates of D:
(x, y) = (½ (4 + 2), ½(6 + -2))
(x, y) = (3, 2)
Coordinates of E:
(x, y) = (½ (4 + -2), ½(6 + -4))
(x, y) = (1, 1)
Slope of DE:
m = Δy / Δx
m = (2 − 1) / (3 − 1)
m = 1/2
Slope of BC:
m = Δy / Δx
m = (-2 − -4) / (2 − -2)
m = 1/2
Therefore, DE is parallel to BC.
The answer is: "
6.2 light years" .
______________________________________________________{ <u>Note</u>: There are no answer choices provided. If there are supposed to be, then round to answer choice closest to "
6.2 light years ".
}.
______________________________________________________Explanation:______________________________________________________ ![(5.9 * 10^1^3 km) * ( \frac{1 light year}{9.46 *10^1^2 km}](https://tex.z-dn.net/?f=%285.9%20%2A%2010%5E1%5E3%20km%29%20%2A%20%28%20%5Cfrac%7B1%20light%20year%7D%7B9.46%20%2A10%5E1%5E2%20km%7D%20)
;
= (
![\frac{5.9 * 10^1^3 km}{9.46 * 10^1^2 km}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5.9%20%2A%2010%5E1%5E3%20km%7D%7B9.46%20%2A%2010%5E1%5E2%20km%7D%20)
light years ;
= ![\frac{5.9 km}{9.46 km} * (10^1^3^-^1^2)](https://tex.z-dn.net/?f=%20%5Cfrac%7B5.9%20km%7D%7B9.46%20km%7D%20%2A%20%2810%5E1%5E3%5E-%5E1%5E2%29)
light years ;
= ![\frac{5.9 km}{9.46 km} * (10^1)](https://tex.z-dn.net/?f=%20%5Cfrac%7B5.9%20km%7D%7B9.46%20km%7D%20%2A%20%2810%5E1%29)
light years ;
= ![\frac{5.9 km}{9.46 km} * (10)](https://tex.z-dn.net/?f=%20%5Cfrac%7B5.9%20km%7D%7B9.46%20km%7D%20%2A%20%2810%29)
light years ;
= ![\frac{5.9 km}{9.46 km} * (10)](https://tex.z-dn.net/?f=%20%5Cfrac%7B5.9%20km%7D%7B9.46%20km%7D%20%2A%20%2810%29)
light years ;
= ![\frac{5.9 km * 10}{9.46 km}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5.9%20km%20%2A%2010%7D%7B9.46%20km%7D)
light years ;
= ![\frac{59 km}{9.46 km}](https://tex.z-dn.net/?f=%20%5Cfrac%7B59%20km%7D%7B9.46%20km%7D)
light years ;
<u>Note</u>: We can "cancel out" BOTH of the units of "km" ; → {since: "km/km = 1 "} ; and rewrite:
_______________________________________________________ = ![\frac{59}{9.46}](https://tex.z-dn.net/?f=%20%5Cfrac%7B59%7D%7B9.46%7D)
light years ;
= " { 59 ÷ 9.46 } " light years ;
= 6.2367864693446089 light years._________________________________________________________Round to "
6.2 light years" ; since there are no answer choices provided.
_________________________________________________________
Answer:
<h2>6</h2><h2 />
Step-by-step explanation:
3x16-12 divided by 6
<u>3 (16) - 12 </u>
6
= <u>48 - 12</u>
6
= 6
Answer:
she will have to work 25 hours
Step-by-step explanation:
$10 per 1 hour she has $50
$300-$50=$250
10 x 25 =250
Answer: f (3)=5
Step-by-step explanation:How you start the equation is by plugging
3
into both of the
x
's in the problem to make it:
f
(
3
)
=
3
(
3
)
−
4
Next, you multiply the
3
(
3
)
to get
9
and subtract
4
. So in the end, you leave the
f
(
3
)
and
9
−
4 is
5
, so the
y
in the equation is
5
.