Complete the square to write the equation, 4x2 24x – y 43 = 0, in standard form. y = (x )2

1 answer:

4 0

An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,

$4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2$

Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

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What is the sum? (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)

levacccp [35]

<span>B. –4g4 – 3g3 + 4g2 + 5g + 3</span>

Hope it helped!

4 0

4 years ago

Read 2 more answers

Help answer asap pls ---------

Reika [66]

Answer:

d = 5

Step-by-step explanation:

We want to know what d would be when x = -1, so we can start off by plugging in -1 for x to get the following equation: $\sqrt{8 - (-1)} = 2(-1)+d$ . On the left hand side, 2 negatives become a positive sign, so the -(-1) becomes a +1, and 8+1 would equal 9. On the right hand side, we just multiply 2 and -1 to get -2. So, the equation now looks like this: $\sqrt{9} = d-2$ . We know that $\sqrt{9}$ = 3, so we would get 3 = d-2. THen we would add 2 to both sides to get d = 5. Hope this helps!