The answer please! Thank you have have a great night.

Y = (x - 2)2 + 3 Identify the vertex of the parabola

Ivanshal [37]

9514 1404 393

Answer:

(2, 3)

Step-by-step explanation:

Compare the given equation ...

y = (x -2)^2 +3

to the vertex form ...

y = (x -h)^2 +k

You can see that h=2 and k=3.

The vertex of the parabola is (h, k) = (2, 3).

4 0

3 years ago

PLease dont answer if you dont know... Use the Law of Sines to find side "b" of the triangle.

alexdok [17]

Using the law of sins:

side a / sin (angle A) = side b / sin(Angle B)

Side a is opposite angle A, so from the picture we know side a = 50, angle A is 58 degrees and angle B is 48 degrees.

replace those values in the formula we get:

50 / sin(58) = b/ sin(48)

so now we can cross multiply the 2 fractions to get:

50 * sin(48) = b*sin(58)

to get b by itself, divide both sides by sin(58) to get:

b = (50*sin(48)) / sin(58)

b = 43.82

You may need to round the answer as needed.

4 0

4 years ago

A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes

Rudik [331]

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ . The measures of the internal angles of the triangle given in the question are A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ .

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C