$\sqrt{10} \times \sqrt{15} \\ = ( \sqrt{5} \times \sqrt{2} ) \times ( \sqrt{5} \times \sqrt{3} ) \\ = {( \sqrt{5}) }^{2} \times ( \sqrt{2} \times \sqrt{3} ) \\ = 5 \times ( \sqrt{6} ) \\ = 5 \sqrt{6}$

5 0

3 years ago

Find vertex of: y=(x-4)(x+8)

ki77a [65]

Answer:

(-2,-36)

Step-by-step explanation:

$y=(x-4)(x+8)$

1) Find the zeros of the parabola

The zero-product property states that any value, when multiplied by 0 will equal 0. Therefore, to make y=0, either (x-4)=0 OR (x+8)=0.

Therefore, x=4 and x=-8.

2) Find the x-coordinate of the vertex

To do this, we take the average of our zeros.

$\frac{4+(-8)}{2} \\=\frac{-4}{2} \\=-2$

Therefore, the x-coordinate of the vertex is -2.

3) Find the y-coordinate of the vertex

Plug the x-coordinate back into the original equation

$y=(-2-4)(-2+8)\\y=(-6)(6)\\y=-36$

Therefore, the y-coordinate of the vertex is -36.

Therefore, the vertex of the parabola is (-2,-36).

I hope this helps!

6 0

3 years ago

Try to to solve it please 2021 lets gooo

ch4aika [34]

1.When all the three cut outs of the angles A, B, C placed adjacent to each other at a point, then it forms a line forming a straight angle, i.e. 180°.

Flence, it is proved that the sum of the three angles of a triangle is 180°.

Therefore, ∠A + ∠B + ∠C =180

5 0

3 years ago

Read 2 more answers

If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?

gavmur [86]

If the angle is mesure in RADIANS then the arc is given by r. So first convert 81 degrees to radians, then multiply by r which is 10 x 81=810

4 0

2 years ago