Either:
y-8=2(x+3)
y-8=2x+6
-2x+y=14
or
y-8=2(x+3)
y=2x+14
Answer:
3/2
Step-by-step explanation:
replace dis in y to check your answer
Answer:
37
Step-by-step explanation:
Using order of operations, multiplication is done before addition.
given
7 + 5 × 6 ← perform multiplication
= 7 + 30 ← do the addition
= 37
9514 1404 393
Answer:
25 +0i
Step-by-step explanation:
The conjugate of a complex number is that number with the sign of the imaginary part reversed.
For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...
(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)
= 9 +12i -12i -16i² = 9 +16 = 25
The real part of the product is 25; the imaginary part is 0.
(-3 +4i)(-3 -4i) = 25 +0i
_____
You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.
9514 1404 393
Answer:
162°
Step-by-step explanation:
The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.
So, central angle ABC is twice the measure of inscribed angle ADC:
m∠ABC = 2·81° = 162°
