The ordered pair of point H is (1, -7).
The correct answer between all the choices given is the third choice. I
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Answer:
The coordinates are (6.5, 1.7).
Step-by-step explanation:
The difference between A and B's x-coordinate is 15. 7/10 of this is 10.5, which added to -4 gives us an x-coordinate of 6.5.
The difference between A and B's y-coordinate is 11. 7/10 of this is 7.7, which added to -6 gives us a y-coordinate of 1.7.
Therefore, the coordinates are (6.5, 1.7).
Answer:
1/6(1x+1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>This is going to be an arithmetic progression:</u>
- 48500, 48500 + 1200, 48500 + 1200*2, ...
<u>So the first term is </u>
<u>and the common difference is </u>
<u>Sum of AP is:</u>
- S = (a₁ + aₙ)*n/2 = (2a₁ + (n - 1)d)*n/2
<u>Substitute and solve for n:</u>
- (2*48500 + (n - 1)*1200)*n/2 = 321000
- (97000 + 1200n - 1200)n = 642000
- 1200n² + 95800n - 642000 = 0
- 6n² + 479n - 3210 = 0
<u>Solving we get a positive root of:</u>
- n ≈ 6.21 and it rounds up to 7 years
Answer:
(8x - 5y)(8x + 5y)
Step-by-step explanation:
To factor the expression, use the difference of squares pattern. A difference of squares is subtraction between two perfect squares and factors as a² - b² = (a-b)(a+b).
The expression has the perfect squares 64x² and 25y². Take the square root of each. The factors become (8x - 5y)(8x + 5y).