Use the distance formula: D=sqrt((x2-x1)^2+(y2-y1)^2)
Plug in:
D=sqrt((9-8)^2+(-1-2)^2)
D=sqrt(1^2+(-3)^2)
D=sqrt(1+9)
D=sqrt(10)
So the distance is about 3.16 units
Hope this helped!
Answer:
The answer is D) No; Y doesn't vary directly with x.
Step-by-step explanation:
It isn't A because:
y=2x:
2(2)=4=y Not true, 2(4)=8=y Not true, 2(6)=12=y Not true
It isn't B:
y=5x
5(2)= 10=y True, 5(4)=20=y Not true, 5(6)=30=y Not true
It isn't C:
y=7x
7(2)=14=y Not true, 7(4)=28=y Not true, 7(6)=42=y Not true
Answer:
Option B
Step-by-step explanation:
Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides
Area of the triangular sides = 2(Area of the triangular base)
= ![2[\frac{1}{2}(\text{Base})(\text{Height})]](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%29%28%5Ctext%7BHeight%7D%29%5D)
= 10 × 12
= 120 ft²
Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)
= (10 + 13 + 13)(15)
= 36 × 15
= 540 ft²
Surface area of the prism = 120 + 540
= 660 square feet
Option B will be the answer.
Answer:
<u>The correct answer is r = ∛GM*T²/4π²</u>
Step-by-step explanation:
Let's rewrite the formula to find the period of orbit of a satellite around a planet, to solve for r, this way:
T^2=(4pi^2/GM)r^3
T² = (4π²/GM) * r³
r³ = T²/ (4π²/GM)
r³ = T² * GM/4π²
r³ = GMT²/4π²
∛r³ = ∛GM*T²/4π²
r = ∛GM*T²/4π²
<u>The correct answer is r = ∛GM*T²/4π²</u>
7x+5y=-24 (1)
4x+y=42 (2)
multiply equation (2) by 5 to get
20x+5y=210 (3)
then calculate (3)-(2) which gives you
13x=234 hence x=18
then substitute for x in either equation to get y=-30
