Answer:
ΔABC ~ ΔDEC
Step-by-step explanation:
Given : DE║AB
Statements Reasons
1). DE║AB 1). Given
2). ∠CDE ≅ ∠CAB 2). Corresponding angles
[Since DE║AB and AC is the transverse]
3). ∠CED ≅ ∠CBA 3). Corresponding angles
[Since DE║AB and BC is the transverse]
4). ΔABC ~ ΔDEC 4). By AA property of similarity
Hence ΔABC is similar to ΔDEC.
Answer:
Equation of the tangent to the curve
y = 240x - 215994
Equation of the normal
y = (-1/240)x + 9.75 = - 0.00417x + 9.75
Step-by-step explanation:
y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36
dy/dx = 32x + 48
At the point (6,900),
dy/dx = 32(6) + 48 = 240
Equation of the tangent at point (a,b) is
(y - b) = m(x - a)
a = 6, b = 900, m = 240
y - 6 = 240(x - 900)
In the y = mx + b form,
y - 6 = 240x - 216000
y = 240x - 215994
The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)
Slope of the normal line = -1/240
Equation of normal
y - 6 = (-1/240)(x - 900)
y - 6 = (-x/240) + 3.75
y = (-1/240)x + 9.75
y = - 0.00417x + 9.75
2.00+1.50= 3.50.
3.50x8= 28.00
I'm assuming they each paid 41.00 dollars for two games,
41.00x8= 328.00
328.00+28.00= $356.00
Hope this is correct and/or it helps!
Sorry, didn't realize my mistake.
9514 1404 393
Answer:
- 14/9
- -3.6
- 5/4
- 11/2, 7/8, 5/18
Step-by-step explanation:
1. n = (11/6 -2/3)(4/3) = (7/6)(4/3) = 14/9
__
2. x = (9.82 -28.18)/5.1 = -3.6
__
3. y = 3/2 -1/4 = 5/4
__
4a. t = 2(3 -1/4) = 11/2
4b. y = (1/5 +1/2)(5/4) = ((2+5)/10)(5/4) = 7/8
4c. x = (11/3 -2)/6 = (5/3)(1/6) = 5/18
