Answer:
x = 30 and y = -34
Step-by-step explanation:
Given the following functions
(1/4)^(x+y) = 256... 1
log₄(x-y) = 3.... 2
From equation 2;
x-y = 4³
x-y = 64
x = 64 + y ... 3
Substitutw 3 into 1
From 1:
(1/4)^(x+y) = 256
(1/4)^(64+y+y) = 256
(1/4)^(64+2y) = 256
Take log₄ of both sides
64+2y log₄ (1/4) = log₄256
-(64+2y) = 4log₄4
-(64+2y) = 4
64+2y = -4
2y = -4 - 64
2y = -68
y = -34
Since
x = 64 + y .
x = 64 - 34
x = 30
Hence x = 30 and y = -34
<span>64-40ab
=8(8-5ab)
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A) Vertical angles are congruent: It is true. Vertical angles are called opposite angles, so they are congruent.
B) Angles with measures between 0- 90 degrees are complementary: It is false. Complementary angles are angles that the sum of their value is 90°
C) Straight angles are complementary: it is false. Straight angles are angles which value is 180°.
D) Angles with measure between 90 and 180 degrees are obtuse. This statement is true by definition
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Answer:
f(- 5) = 13
Step-by-step explanation:
Substitute x = - 5 into f(x)
f(x) = - 3x - 2 , then
f(- 5) = - 3(- 5) - 2 = 15 - 2 = 13