Answer:
parallel line slop2 = -5/4
perpendicular line slope = 4/5
Step-by-step explanation:
If 2 lines are parallel, they will have equal slopes.
Therefore, the slope of a line parallel to y = 1/4 - 5/4 x will be -5/4
If 2 lines are perpendicular, their slopes are negative reciprocals of each other. So the slope of the perpendicular line = -1 ÷ -5/4 = 4/5
The initial statement is: QS = SU (1)
QR = TU (2)
We have to probe that: RS = ST
Take the expression (1): QS = SU
We multiply both sides by R (QS)R = (SU)R
But (QS)R = S(QR) Then: S(QR) = (SU)R (3)
From the expression (2): QR = TU. Then, substituting it in to expression (3):
S(TU) = (SU)R (4)
But S(TU) = (ST)U and (SU)R = (RS)U
Then, the expression (4) can be re-written as:
(ST)U = (RS)U
Eliminating U from both sides you have: (ST) = (RS) The proof is done.
<span>p=210e^(0.0069*20)
'e' is a mathematical constant equal to 2.718281828459
</span>
<span>0.0069*20 = .138
e^.138 =
</span>
<span>2.718281828459^.138 =
</span>
<span>
<span>
<span>
1.1479755503
</span>
</span>
</span>
210 * <span>1.1479755503 =
</span>
<span>
<span>
<span>
241.074865563
</span>
</span>
</span>
Apply substitution
x+4(-2x-4)=19
x – 8x – 16 = 19
-7x = 19 + 16
-7x = 35
x = -5
Then substitute this value to the other equation
y=-2x-4
y = -2(-5) – 4
y = 10 – 4
y = 6
the answer is then letter A. (-5,6)
