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3 years ago

Can you help me on question six?!

Mathematics

1 answer:

Amanda [17]3 years ago

4 0

Answer: A (1:2)

Step-by-step explanation:

Since there are 12 puppies total and 8 of the puppies are yellow labs, there must be 12 - 8 = 4 black labs. Now, the ratio of black labs to yellow labs is 4:8 because there are 4 black labs and 8 yellow labs. However, we can simplify this ratio by dividing the entire ratio by 4. In this case, we would get (4/4):(8/4), which simplifies to 1:2, which is the answer.

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Three students used factoring to solve a quadratic equation.

DedPeter [7]

Answer:

The solution was solved correctly by Keith

The solutions of the equation are x=-5,x=-12

Step-by-step explanation:

we have

$x^{2}+17x+72=12$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+17x=12-72$

$x^{2}+17x=-60$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+17x+8.5^{2} =-60+8.5^{2}$

$x^{2}+17x+72.25 =12.25$

Rewrite as perfect squares

$(x+8.5)^{2}=12.25$

square root both sides

$(x+8.5)=(+/-)3.5$

$x=-8.5(+/-)3.5$

$x=-8.5(+)3.5=-5$

$x=-8.5(-)3.5=-12$

The solution was solved correctly by Keith

The solutions of the equation are x=-5,x=-12

3 0

4 years ago

If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 2p2 y2 = 4px y2 = 4py.

telo118 [61]

The equation for a parabola does become $\rm x^2=4py$ .

<h3>What is parabola?</h3>

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

Given

The derivation for the equation of a parabola with a vertex at the oriin.

The equation of the parabola can be written as;

$\rm (x)^2 + (y - p)^2 = (0)2 + (y + p)2\\\\x^2 + y^2 - 2py + p^2 = y^2 + 2py + p^2\\\\ x^2= 2py+2py\\ \rm \\x^2=4py$