What is the measure of B?

Mathematics

2 answers:

Alexxx [7]3 years ago

8 0

57+96+132= 285

B=360-285
= 75

Zielflug [23.3K]3 years ago

3 0

Answer:

57+132+96 = 285

360-285= 75

B = 75

Step-by-step explanation:

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A2+b2 = C2solve for a

lesantik [10]

$a^2+b*2=c^2$

$a^2+2b=c^2

$ $\text{Regroup terms}$

$a^2=c^2-2b
$ $\text{Subtract 2b from both sides}$

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3 years ago

The equation of a circle is (x + 6)^2 + (y - 4)^2 = 16. The point (-6, 8) is on the circle.

pantera1 [17]

Answer:

y = 8 is the equation of tangent.

Step-by-step explanation:

The equation of the tangent to the circle at (-6,8) is of the form:

y = mx + c

where m is the slope of the tangent and c is the y-intercept.

The point (-6,8) lies on the circle and the tangent line as well.

Hence (-6,8) satisfies the line equation:

8 = m(-6) + c ⇒ c-6m = 8 -------------1

We know that slope of two perpendicular lines are related as:

$m_{1}\times m_{2}=-1$

At any point on the circle, the normal line at a point is always perpendicular to the tangent line at that point.

Hence :

$m_{normal} \times m_{tangent}=-1$

We can find the slope of the normal at point (-6,8) as it passes through the centre of the circle (-6,4) by using the two-points formula for slope.

$m=\frac{y_2-y_1}{x_2-x_1}$