3 years ago

Find the value of x in the diagram below. Classify

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

Answer:

x = 31.3

Step-by-step explanation:

100° and (3x + 6)° are vertical angles. Vertical angles are congruent.

To find the value of x, set both equal to each other.

3x + 6 = 100

3x = 100 - 6 (subtraction property of equality)

3x = 94

x = 94/3 (division property of equality)

x = 31.3 (nearest tenth)

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Find the equations of the tangents to the curve x=9t2+3, y=6t3+3 that pass through the point (12,9).

Xelga [282]

Answer:

The equation will be " $y=x-3$ ".

Step-by-step explanation:

Given:

Points (12, 9) = (x, y)

⇒ $x=9t^2+3$

then,

$\frac{dy}{dt}=18t$

or,

⇒ $y=6t^3+3$

then,

$\frac{dy}{dt}=18t^2$

⇒ $\frac{dy}{dx}=\frac{18t^2}{18t}$

$=t$

By using the point slope form.

The equation of tangent will be:

⇒ $y-9=1(x-12)$

$y-9=x-12$

$y=x-12+9$

$y=x-3$

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