Answer:
p = -1 q = -4
Step-by-step explanation:
a system of eq and solve for p and q ??? can do :)
Eq. 1) 8p + 2q = - 16
Eq. 2) 2p - q = 2
use Eq .2 and solve for q
2p - 2 = q
plug into Eq.1 with q
8p +2(2p - 2) = - 16
8p +4p -4 = -16
12p = - 12
p = -1
plug -1 into Eq. 1 for p and solve for q
8(-1) + 2q = - 16
-8 + 2q = - 16
2q = -8
q = -4
(-4,-3) need 20 characters
Answer:
f(g(2)) = 4
Step-by-step explanation:
find g(2) then substitute the value obtained into f(x)
locate x = 2 on the x- axis, go vertically up to meet g(x) at (2, 5 )
locate x = 5 on the x- axis, go vertically up to meet f(x) at (5, 4 )
then f(g(2)) = 4
Answer:

Step-by-step explanation:
The satellite has 30 modular units.
There are equal numbers of non-upgraded sensors in each unit.
Let us assume that on the entire satellite there are x numbers of upgraded sensors.
Then as per the given condition, there are
number of non-upgraded sensors in one unit.
Therefore, the number of non-upgraded sensors on the entire satellite is
=6x
Hence, total number of sensors in the satellite is (x+ 6x) =7x
Therefore, the required fraction of the upgraded sensors is
. (Answer)
Answer:
Statement: AB=CD, BC=AD
Reason: By definition of parallelogram .
Statement: AC=AC
Reason: Reflexive property of equality.
Step-by-step explanation:
1.Statement:
.
Reason: For parallel lines cut by a transversal , corresponding angles are congruent.
2.Statement:AB=CD,BC=AD
Reason: By definition of parallelogram.
3.Statement: AC=AC
Reason: Reflexive property of equality.
4.Statement:
.
Reason: SSS criterion for congruence.
5.Statement:
.
Reason: Given .
6.Statement:
.
Reason: By definition of parallelogram.
7.Statement:
.
Reason: Alternate Interior Angles Theorem.