Answer:
Step-by-step explanation:
The given relation is
To make 
the subject, we square both sides of the equation to get;
Isolate on one side of the equation;
Or
We take the positive square root of both sides to get;
Answer:
True.
Step-by-step explanation:
It is because it is in the form 
and this equals 
.
Why it is in that form: well comparing , we have 
. Testing, plug in those values:
.
This has the squared form of 
.
Test if you like:
Use foil to expand:
First: x(x)=x^2
Outer: x(1)=x
Inner: 1(x)=x
Last: 1(1)=1
---------------Add together
It does indeed equal.
Answer:
True
Step-by-step explanation:
If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Plug each option into u then solve the equation and see if the answer matches -15.
Ex. -15 = 1 -4 (2)
-15 = 1 -8
-15 = -7
-15 does not equal -7 therefore it is false. Use Pemdas to solve.
