Answer:
(3,2)
Step-by-step explanation:
The system is
x + y = 5
x -y = 1
Add the equations to eliminate y
2x = 6----->x=3
Substitute this value in any equation
3+y = 5----->y=2
The solution is (3,2)
Answer:
∠D = 56°
∠D = 180° - (35° + 89°) = 56°
Answer:
The graph in the attached figure
see the explanation
Step-by-step explanation:
we have

we know that
The radicand must be greater than or equal to zero
so

solve for x
Adds 3 both sides


Multiply by -1 both sides
Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so
The domain of the function is the interval (-∞,-3]
For x=-3 ---> the value of y=0
The range is the interval {0,∞)
therefore
The graph in the attached figure
Answer:
p^(-9) or 1/p^9
Step-by-step explanation:
Here we have:
(5p)^(-7)
----------------
(20p)^2
Let's temporarily remove the coefficient 5/20 and reduce it to 1/4.
then we have:
1 1 1
(1/4) ------------- = (1/4) -------------- = ------------
p^7*p^2 p^(7 + 2) p^9
The figure is a right angle
Complementary = sum of 90 degrees
35 + 2x - 5 = 90
30 + 2x = 90
2x = 60
Solution: x = 30