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3 years ago

The first few steps in deriving the quadratic formula are shown.

Mathematics

2 answers:

Rus_ich [418]3 years ago

5 0

Answer:

• The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Step-by-step explanation:

We have to multiply the term b2/4a2 by a in order to determine the value to add to the left side of the equation so as to balance both sides of the equation.

If we multiply the terms, we get;

$\frac{b^{2} }{4a^{2} }*a=\frac{b^{2} }{4a}$

Therefore, we shall be adding the term $\frac{b^{2} }{4a}$ to the left side of the equation.

Lerok [7]3 years ago

5 0

Answer: The answer is choice B.

Step-by-step explanation:

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Consider the following system of equations:

horrorfan [7]

Answer:

(x = -11 and y = 56) or (x = 1 and y = -4)

Step-by-step explanation:

The equation of the parabola is 10 + y = 5x + x² ........(1)

And 5x + y = 1 ....... (2) is the straight line.

We have to find solutions to equations (1) and (2).

Now, solving equations (1) and (2) we get, 10 + (1 - 5x) = 5x + x²

⇒ 11 - 5x = 5x +x²

⇒x² + 10x - 11 = 0

⇒ (x + 11) (x - 1) = 0

Hence, x = -11 or x = 1

Now, from equation (2),

y = 1 - 5x = 1 - 5(-11) = 56 {When x = -11}

And, y = 1 - 5(1) = -4 (When x = 1}

Therefore, the solution of the system are (x = -11 and y = 56) or (x = 1 and y = -4) (Answer)

6 0

3 years ago

Read 2 more answers

the width of a vegetable garden is 3 times it's length. if the length of the garden is 4 and a half feet, what is the width in s

grandymaker [24]

13 and 1/2. This is because 4.5 times 3 is equal to 13.5

4 0

3 years ago

Read 2 more answers

Say that the economy is in an expansion, causing wages to increase by six percent. If you previously received a monthly salary o

goblinko [34]

Answer:

Your new monthly salary would be $1,457.50.

Step-by-step explanation:

You previously received a monthly salary of $1,375.00

Now by economy expansion, causing wages to increase by = 6%

Increment of the salary = 6% of 1,375.00

= $\frac{6}{100}$ × 1,375

= 0.06 × 1,375 = $82.50

So your new monthly salary would be = $1,375.00 + $82.50 = $1,457.50

3 0

3 years ago

4x-7;×=7 math problem

DENIUS [597]

??????????what????????????

4 0

3 years ago

Help meee please.........

Naddika [18.5K]

Answer: B

x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right

3 0

3 years ago