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3 years ago

Here are two steps from the derivation of the quadratic formula.

Mathematics

2 answers:

Lana71 [14]3 years ago

6 0

What took place between the first step and the second step? - A. Taking the square root of both sides.

As we can see from the first to second step, the left side of the equation goes from being squared to not being squared. While on the right side of the equation, the square root is now being taken.

Hope this helps!! :)

Assoli18 [71]3 years ago

5 0

The answer is A. Hope this helps.:)

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What is the distance between the points (4.10) and (-3,-14) on the coordinates plane?

jeyben [28]

Answer:

25 units

Step-by-step explanation:

use the distance formula to get the square root of 24² + 7²

this will give you the square root of 625, which is 25

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3 years ago

Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

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2 years ago

The frequency table shows the scores from rolling a dice.

bulgar [2K]

Answer:

3, 8

Step-by-step explanation:

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3 years ago

levacccp [35]

Easy hijdbggffafaysuwus

6 0

3 years ago

10. If possible, determine whether or not triangles LQP and LMN

natita [175]

Answer:

They are similar

Step-by-step explanation:

If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.

This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:

LM/LQ = LN/LP

LM = 100

LQ = 12

LN = 75

LP = 9

LM/LQ = 100/12 = 25/3

LN/LP = 75/9 = 25/3

LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.

3 0

3 years ago