Answer:
Step-by-step explanation:
∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.
∠D = ∠B
∠A = ∠E
△ABC and △EDC are similar because they have the same angles.
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
When you write it as an inequality you get x + 4 > 13
Hello,
To divide by a fraction, multiply by its reciprocal.
Solution:
8/0 x 3/11
The greatest common factor is 3; cancel 3 out.
The problem will simplify to 8/33.
Faith xoxo
8 jars because you subtract 0.56 from 6. Afterwards, you divide the difference which is 5.44, by 0.68 and get eight.