HELP ASAP. 10 POINTS EACH. WILL GIVE BRAINLIEST

Mathematics

1 answer:

Blababa [14]3 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

In triangles AKU and AVP,

Angles AKU and AVP are congruent as inscribed angles subtended on the same arc PU
∠KAU and ∠VAP are congruent (actually these are the same angles).

AA similarity theorem: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

By AA similarity theorem, ΔAKU and ΔAVP are similar.

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Determine the radius and center of the circle with the following equation <br> x^2+y^2-12x+24y-10=6

PolarNik [594]

Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

<u>Complete the squares</u>

<u /> $x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196$

Comparing with the standard form equation $(x-h)^2+(y-k)^2=r^2$ , since $r^2=196$ , then the radius of the circle is $r=14$ . Also, the center of the circle would be $(h,k)\rightarrow(6,-12)$ .

8 0

2 years ago

Sarah Wiggum would like to make a single investment and have $1.7 million at the time of her retirement in 34 years. She has

vovangra [49]

Answer:

Sarah has to invest $502,958.58 today.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$