Answer:
see the explanation
Step-by-step explanation:
we know that
If the absolute value of the scale factor is less than 1, then the dilation produces a contraction of the original image
If the absolute value of the scale factor is greater than 1, then the dilation produces an expansion of the original image
so
<u><em>Verify each value</em></u>
1) -4
therefore
The dilation produces an expansion of the original image
2) 0.25
therefore
The dilation produces a contraction of the original image
3) -2/3
therefore
The dilation produces a contraction of the original image
4) 2.3
therefore
The dilation produces an expansion of the original image
Answer:
(-5)(-9)
Step-by-step explanation:
any negative multiplied by any negative will always equal a positive
Answer:
a.) -20p - 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Alexis spends:</u>
- $8.50 + $7.25 + $5 = $20.75
<u>Money left:</u>
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
