Answer: z = 7 or z=-5
Step-by-step explanation:
First you need to factor the polynomial.
To factor - 2z -35 You will need to find two numbers that their product is -35 and their sum is -2 and the numbers -7 and 5 works out.
Rewrite the polynomial as,
- 7z + 5z - 35 = 0 factor the left by grouping
( -7z) (5z -35) = 0
z(z -7) 5(z - 7) = 0 Factor out z-7
(z-7)(z+5) = 0 Now apply the zero product by setting each of them equal 0.
z-7= 0 or z+5=0
+7 +7 -5 -5
z = 7 or z= -5
Hypothesis = It rains
Conclusion = The game is canceled
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Explanation:
The general format for a conditional is "If P, then Q".
P is the hypothesis and Q is the conclusion. They are placeholders.
In this case
Some textbooks will write to indicate "if P, then Q"
Answer:
Angle A would be 40°
Step-by-step explanation:
The sum of all angles of a triangle is 180° always.
So, the sum of 80° , 11x - 4 and 15x would be 180°
80° + 11x - 4 + 15x = 180°
80 - 4 + 11x + 15x = 180°
76 + 26x = 180
26x = 104
x =
x = 4
Since angle A is 11x - 4, its measure would be
(11 x 4) - 4
44 - 4
40.
Answer:
(14.1, 14.1)
Step-by-step explanation:
If the point (x,y) is on the line y=x, then it has coordinates (x,x).
Find the distances from this point to points (-6,2) and (10,-9):
Equate these distances:
Square this equation:
So, the coordinates are (14.1, 14.1)