Answer:
66
Step-by-step explanation:
11 times 6 = 66
Perpendicular, because the slopes of the equations are the same number but one is negative
Y - y1 = m(x - x1)
m = -2 (1, -5)
y - (-5) = -2(x - (-5)
y + 5 = -2(x + 5)
y + 5 = -2x - 10
y = -2x - 15 <<< answer
hope this helps, God bless!
Answer:
<u>Please read the answers below.</u>
Step-by-step explanation:
Let's recall that in a square all its sides are equal length and all the four internal angles measure 90 °
5. If LN = 46, then we have:
OM = <u>46</u> (Same length than LN)
PN = LN/2 = 46/2 = <u>23</u>
ON = √LN²/2 = √ 46²/2 = √ 2,116/2 = √ 1,058 = <u>32.53 (Rounding to two decimal places)</u>
MN = ON = <u>32.53</u>
6. m ∠EFG = <u>90°</u>
m ∠GDH = ∠GDH/2 = 90/2 =<u> 45°</u>
m ∠FEG = ∠DEF/2 = 90/2 =<u> 45°</u>
m ∠DHG = 180 - (∠GDH + ∠DGH) = 180 - (45 + 45)= 180 - 90 = <u>90</u>°
7. Solve for x
6x - 21 = ∠PQR/2
6x - 21 = 90/2
6x - 21 = 45
6x = 45 +21
6x = 66
<u>x = 11</u>
9514 1404 393
Answer:
The volume is 343 times as large.
The length is 7 times as large.
Step-by-step explanation:
If the original cube has side length s, its volume is given by ...
V = s³
When the side length is changed by a factor of 7, the new volume is ...
V = (7s)³ = 7³×s³ = 343s³
The volume of the cube changes by a factor of 7³ = 343.
__
The problem statement tells you the length is 7 times as large.
