Answer:
6
Step-by-step explanation:
Answer:
Step-by-step explanation:
They give us the slope so this makes it a lot easier.
Slope intercept formula is
y=mx+b
(m) is slope
(b) is y intercept
we can apply our slope into the formula
y=-3/2x+b
Now we can replace (y) with the (y) from the ordered pair they gave us (4, 10), and replace the (x) with the (x) from the ordered pair they gave us
(4, 10)
10=-3/2(4)+b
Now solve
10=-6+b
Add 6 to each side
16=b
Now we we put both our slope and intercept into the formula.
Answer:
Equation A: x = -1 and y = 3
Equation B: x = 12 and y = 16
Step-by-step explanation:
In the complex numbers (a + bi) and (x + yi)
(a + bi) + (x + yi) = (a + x) + (b + y)i
(a + bi) - (x + yi) = (a - x) + (b - y)i
Equation A
∵ (x + yi) + (4 – 7i) = 3 – 4i
∴ (x + 4) + (y - 7)i = 3 - 4i
→ Compare the real parts and compare the imaginary parts
∴ x + 4 = 3 and y - 7 = -4
∵ x + 4 = 3
→ Subtract 4 from both sides
∴ x + 4 - 4 = 3 - 4
∴ x = -1
∵ y - 7 = -4
→ Add 7 to both sides
∴ y - 7 + 7 = -4 + 7
∴ y = 3
Equation B
∵ (x + yi) - (-6 + 14i) = 18 + 2i
∴ (x - -6) + (y - 14)i = 18 + 2i
→ (-)(-) = (+)
∴ (x + 6) + (y - 14)i = 18 + 2i
→ Compare the real parts and compare the imaginary parts
∴ x + 6 = 18 and y - 14 = 2
∵ x + 6 = 18
→ Subtract 6 from both sides
∴ x + 6 - 6 = 18 - 6
∴ x = 12
∵ y - 14 = 2
→ Add 14 to both sides
∴ y - 14 + 14 = 2 + 14
∴ y = 16
Answer:
h(x) = -x²+11x+2
Step-by-step explanation:
Answer:
reflections, translations and rotations
Step-by-step explanation:
Yes.
