Answer:
-1280
Step-by-step explanation:
Given a₁ = -10, n = 8, r =2
Required to find nᵗʰ term.
From the general formula: aₙ= a₁ (r)ⁿ⁻¹
Therefore nᵗʰ = -10(2)⁸⁻¹
= -10(2)⁷
= - 10(128)
= - 1280
<h3>Answer: y = (3/2)x + 0</h3>
This is the same as y = (3/2)x
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Work Shown:
Find the slope of the line through (x1,y1) = (-2,-3) and (x2,y2) = (2,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - (-3))/(2 - (-2))
m = (3 + 3)/(2 + 2)
m = 6/4
m = 3/2
The slope is the fraction 3/2. This is going to be in front of the x, or to the left of the x.
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Plug m = 3/2 and (x1,y1) = (-2,-3) into the point slope formula. Solve for y.
y - y1 = m(x - x1)
y - (-3) = (3/2)(x - (-2))
y + 3 = (3/2)(x + 2)
y + 3 = (3/2)x + (3/2)(2)
y + 3 = (3/2)*x + 3
y + 3 - 3 = (3/2)*x + 3 - 3
y = (3/2)x + 0
The y intercept is zero. This matches up with the fact the graph crosses the y axis at y = 0.
Answer:
(1,0)
Step-by-step explanation:
reflection is flipping
flipping over Y would make -, to + or + to -
in this case -1,0 becomes 1,0
Answer:
2804 cm²
Step-by-step explanation:
<u>Total area comprises of 6 faces: 2 trapezoids and 4 rectangles</u>
- Trapezoid = 1/2*(14+32)*24 = 552 cm² each
- Bottom = 17*32 = 544 cm²
- Top = 14*17 = 238 cm²
- Right side = 17*24 = 408 cm²
- Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²
<u>Total area:</u>
552*2 + 544 + 238 + 408 + 510 = 2804 cm²
Answer:
x=5
:)
Step-by-step explanation:
