The coordinated of the preimage would be :
x = x cos θ + y sin θ
y = x sin θ + y cos θ
where
x = -4
y = 7
θ = -90
hope this helps
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)
m=(12-7.5)/(120-30)
m=0.05
y=0.05x+b, using point (30,7.5)
7.5=0.05(30)+b
7.5=1.5+b
b=6
y=0.05x+6
4/8 simplifies to 1/2. 5/10 also simplifies to 1/2 therefore 5/10 and 4/8 are equal
Answer:
Has no real solution (only imaginary solutions)
Step-by-step explanation:
x²-3x+8=0
recall for a quadratic equation in the form
ax² + bx + c = 0
the if b²- 4ac is negative (i.e less than zero), then the equation has no real solutions.
in this case,
a=1, b = -3 and c=8
b²- 4ac,
= (-3)² - (4)(1)(8)
= 9 - 32
= - 23 (negative number hence no real solutions)
Answer:
B
Step-by-step explanation:
Basically you are dividing X by 4, meaning the number of boxes, if you took all the mugs out of the boxes there are 55 mugs.