Distance formula : sqrt (x2 - x1)^2 + (y2 - y1)^2
(2,-10)....x1 = 2 and y1 = -10
(22,27)....x2 = 22 and y2 = 27
now we sub
d = sqrt ((22 - 2)^2 + (27 - (-10)^2)
d = sqrt ((20^2) + (37^2))
d = sqrt (400 + 1369)
d = sqrt 1769
d = 42.059 rounds to 42.06 <==
Answer:
y = -0.1
Step-by-step explanation:
1. subtract 1.3 from both sides 1.3 - y/0.2 - 1.3 = 1.8 - 1.3
2. simplify -y/0.2 = 0.5
3. multiply both sides by 0.2 0.2(-y/0.2) = 0.5 x 0.2
4. simplify -y = 0.1
5. divide both sides by -1 -y/-1 = 0.1/-1
and you’re done! c:
Answer:
The measure of side BC = 5 unit and The measure of side AC = 5 unit
Step-by-step explanation:
Given as :
In a triangle ΔABC
The measure of side = AB = 5 unit
The measure of angle A = ∠A = 45°
The measure of angle C = ∠C = 30°
Now, For a triangle the sum of three angles of triangle = 180°
∴, ∠A + ∠B + ∠C = 180°
Or, 45° + ∠B +30° = 180°
Or , ∠B = 180° - ( 45° + 30°)
Or, ∠B = 180° - 75°
i.e ∠B = 105°
<u>Now, From figure </u>
Sin 45° =
Or, =
Or, BC =
∴ BC = 5
So, The measure of side BC = 5 unit
<u>Again , from figure</u>
Cos 45° =
Or, =
Or, AC =
∴ AC = 5
So, The measure of side AC = 5 unit
Hence The measure of side BC = 5 unit and The measure of side AC = 5 unit Answer
(2j+7)(2j−7)
=(2j+7)(2j+−7)
=(2j)(2j)+(2j)(−7)+(7)(2j)+(7)(−7)
=4j2−14j+14j−49
=4j2−49
Answer:
y = 25x+100
Step-by-step explanation: You are paying 25$ times how many months he stayed there, plus a 100 dollar sign up fee, so y = 25 dollars per month, plus 100 dollars.