<u><em>The axis of symmetry is x = 5.</em></u>
In first place, every quadratic function can be expressed as follows:
f(x) = a*x² + b*x + c
where a, b and c are real numbers and a ≠ 0. This way of writing the quadratic function is called polynomial.
The graph of a quadratic function is a parabola. Every parabola is a symmetric curve with respect to a horizontal line called the axis of symmetry. That is, the axis of symmetry is an imaginary line that passes through the middle of the parabola and divides it into two halves that are mirror images of each other.
The point of intersection of the axis of symmetry with the parabola is called the vertex, and it divides the parabola into two branches. That is, the axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.
Then, being the <em>vertex</em> of the quadratic function <em>(5,7)</em>, where the vertex on the x-axis has a value of 5 and on the y-axis a value of 7, <u><em>the axis of symmetry is x = 5.</em></u>
Answer:

Step-by-step explanation:
<em>A parallelogram has two pairs of identical angles.</em>
The identical angles will be <u>directly opposite from each other</u>.
This means that:
- Angle C = Angle A
- Angle D = Angle B
Therefore, we can say that Angle A is 3x degrees and Angle B is x+52 degrees.
It's also important to note that all angles in a quadrilateral add up to 360°.
Since we know the measure of each angle, we can add up the expressions for each and find x.

Let's simplify this equation.
Now that we know the value of x, let's use it to find the measure of Angle A.
We already proved earlier that Angle C is equivalent to Angle A. Since we know the expression for Angle C (3x) it'll be the same for angle A.

So A is 96°
Hope this helped!
Step-by-step explanation:
Hey there!
The equation of a st.line passing through points (4,5) and (7,3) is;

<u>Put</u><u> </u><u>all values</u><u>. </u>
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<u>Simplify</u><u> </u><u>it</u><u>. </u>
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<u>Therefore the</u><u>required</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>2</u><u>x</u><u>+</u><u>3</u><u>y-23</u><u>=</u><u>0</u><u>.</u>
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>