What is the value of x? Enter your answer in the box. ___ cm

Mathematics

1 answer:

Lelu [443]3 years ago

7 0

Answer:

The value of x is 94 cm.

Step-by-step explanation:

Given information: VT=95.2 cm, VY=34 cm, and TK=168 cm.

Let the length of YK be y.

Since TY is angle bisector, therefore by triangle angle bisector theorem we get

$\frac{95.2}{34}=\frac{168}{y}$

$y=\frac{168\times 34}{95.2}$

$y=60$

The length of YK is 60 cm.

The value of x is

$x=VK=VY+YK$

$x=34+60$

$x=94$

Therefore the value of x is 94 cm.

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Find the standard equation of the circle defined by the equation x^2 + y^2 +8x - 12y + 43 = 0. ANSWERS ATTACHED, due in 2 HOURS,

puteri [66]

Answer:

Solution: Option C

Step-by-step explanation:

Our goal here is to factor the expression such that it is converted into the circle equation (x - a)² + (y - b)² = r² where r = radius centered at point (a,b).

$x^2\:+\:y^2\:+8x\:-\:12y\:+\:43\:=\:0$ (Factor the expression "x² + 8x")

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That leaves us with the expression $\left(x-\left(-4\right)\right)^2+\left(y-6\right)^2=3^2$ , or in other words $(x+4)^2 +(y-6)^2 = 9$ . As you can see our solution is option c.