Answer:
The equation in vertex form is:
Step-by-step explanation:
Recall that the formula of a parabola with vertex at 
is given by the equation in vertex form:
where the parameter 
can be specified by an extra information on any other point apart from the vertex, that parabola goes through.
In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:
we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter 
:
The, the final form of the parabola's equation in vertex form is:
Answer:
3(x-1)+7=11
3x-3-7=11
3x-10=11
3x=11+10
x=21/3
x=7
Step-by-step explanation:
Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0
Here, a = 1, b = 3 and c = -4.
The formula for the discriminant is b^2 - 4(a)(c).
Substituting the given values of a, b and c, we get:
(3)^2 - 4(1)(-4)
Evaluating this, we get 9 + 16 = 25.
The discriminant is 25.
-3 plus or minus √25
Taking this further, x = ------------------------------------
2
-3 plus or minus 5
or: x = -------------------------------- => {-4, 1} (solutions)
2
.020 because it is 2 spots behind the decimal
Step-by-step explanation:
The measure of angle y is 62°.
I solve this by
We know: Measures of interior angles in a triangle add up to 180°.
Therefore we have the equation:
60° + 58° + y = 180°
118° + y = 180° <em>subtract 118° from both sides</em>
118° - 118° + y = 180° - 118°
y = 62°
The measure of angle x is 122°.
I solve this by
Angles 58° and x are supplementary angles.
Supplementary angles add up to 180°.
Therefore we have the equation:
x + 58° = 180° <em>subtract 58° from both sides</em>
x + 58° - 58° = 180° - 58°
x = 122°
