Answer:
x = 6, y = -6
Step-by-step explanation:
-4x - 2y = -12
4x + 8y = -24 +
-----------------------
6y = -36
y = -36/6
y = -6
4x + 8y = -24
4x + 8*(-6) = -24
4x = -24 + 48
4x = 24
x = 6
Answer:
Any dress with ur favorite color
Answer:
The vertex form is: y = 3(x-2)^2 + 7
. The vertex is (2, 7)
Step-by-step explanation:
Write the function: y = 3x^2 - 12x + 11 in vertex form
The vertex form of a quadratic equation is:
y = m(x - a)^2 + b where (a,b) is the vertex
For y = 3x^2 - 12x + 11
Solve for m
y = 3(x^2 - 4x) + 11
Complete the Square:
y = 3(x^2 - 4x + 4) + 11 - 4
y = 3(x - 2)^2 + 7
The vertex then is (2, 7)
We are given : Distance of the swing = 100 feet.
Distance of slide = 80 feet.
Angle between swing and slide = 30 degrees.
We need to find the distance between the swing and the slide.
Distance of swing, distance of slide and distance between the swing and the slide form a triangle.
We can apply cosine law to find the distance between the swing and the slide.
c^2 = a^2 +b^2 - 2ab cos C
c^2 = 100^2 +80^2 - 2(100)(80) cos 30°
c^2 = 10000 + 6400 -2* 8000 
c^2 = 16400 - 8000
c^2 = 16400 - 13856
c^2 = 2544

c= 50.44
c = 50 feet approximately.
<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>
Answer:
4th option
Step-by-step explanation:
The given expression is:

In order to simplify this expression we have to multiply and divide it with the conjugate of the denominator i.e multiply and divide the entire expression with
, as shown below:

Thus, 4th option gives the correct answer.