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Tanya [424]
2 years ago
8

Write the expression in factored form s^2-20s-100

Mathematics
1 answer:
KatRina [158]2 years ago
3 0

Answer:

The factors of given expression are 10+10√2 and 10-10√2.

Step-by-step explanation:

We have given a quadratic expression.

s²-20s-100

We have to find factors of given expression.

We use quadratic formula to find factors.

x = (-b±√b²-4ac) / 2a

From given expression, a = 1 , b = -20 and c = -100

Putting values in above formula, we have

x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)

x = (20±√400+400 ) / 2

x = (20±√800) /  2

x = (20± √400×2) / 2

x = (20±20√2) / 2

x = 10±10√2

Hence, the factors of given expression are 10+10√2 and 10-10√2.

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Step-by-step explanation:

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I don't know I need help please
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A parallelogram has a base of 12 centimeters and a height of 8 centimeters.what is the area of the parallelogram
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Read 2 more answers
Write an equation of the line through each pair of points in slope-intercept form.
ASHA 777 [7]

Answer:

see below

Step-by-step explanation:

a) (– 3, –2) and (–3, 4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(4 - (-2) / (-3 - (-3))

Simplify the parentheses.

= (4 + 2) / (-3 + 3)

Simplify the fraction.

(6) / (0)

= undefined

If your slope is undefined, it is a vertical line. The equation of a vertical line is x = #.

In this case, the x-coordinate for both points is -3.

Therefore, your equation is x = -3.

b) (3, 2) and (–4, –5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-5 - 2) / (-4 - 3)

Simplify the parentheses.

= (-7) / (-7)

Simplify the fraction.

-7/-7

= 1

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (3, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 1(3) + b

To find b, multiply the slope and the input of x(3)

2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-1 = b

Plug this into your standard equation.

y = x - 1

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, -5).

y = 1x - 1

-5 = 1(-4) - 1

-5 = -4 - 1

-5 = -5

Your equation is correct.

Hope this helps!

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