Step-by-step explanation:
(2x³y^-4)^-2 = 1/(4x⁶y^‐8) = y⁸/(4x⁶)
1/(8x⁵y^-7) = y⁷/(8x⁵)
4x^-9y⁴ = 4y⁴/x⁹
so, the whole expression is then
y⁸/(4x⁶) × y⁷/(8x⁵) × 4y⁴/x⁹
4y¹⁹/(32x²⁰) = y¹⁹/(8x²⁰)
so, D is the correct answer.
Answer:
Step-by-step explanation:
1200(1+.08*2)= 1392
Answer:
The solution to this system is (4, 1/6).
Step-by-step explanation:
Please separate these two equations for clarity. I like to write them in column format:
2.5y + 3x = 27
5x – 2.5y = 5
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8x = 32, and x = 4.
Subbing 4 for x in the second equation yields 5(4) - 2.5y = 5.
Then 20 - 2.5y = 5, or 15 = 2.5y. Solving for y, we get y = 1/6.
The solution to this system is thus (4, 1/6).
Answer:
1) True 2) True 3) False 4) True
Step-by-step explanation:
In this question let's verify those options
1.Triangle A B C is inside triangle D E F. (true)
If A, B and C are midpoints of DEF then connecting those midpoints we have an interior triangle.
2. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. (true)
3. Angles D F E and A B C are right angles. (false)
These triangles are similar. And In this case, the right angles are:

D and C are opposed to the larger side, and not F, and B
Because:
4. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. (true)
Let's test this by the Pythagorean Theorem. For DE is the hypotenuse and FD and FE is their legs.
