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kykrilka [37]
3 years ago
8

Type an equation f(x)=c^2-4x+6

Mathematics
1 answer:
Anon25 [30]3 years ago
6 0

Answer:

y = c ^2 − 4 x + 6

Step-by-step explanation:

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A 17 foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the
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Answer:

Shorter piece= 4 ft, longer piece= 13 ft

Step-by-step explanation:

If shorter piece is x

Longer pc is 2x + 5

Together they make 17 feet

So x + 2x + 5 = 17

3 x + 5 = 17

3x = 17 - 5 = 12

3x = 12

X = 12/ 3 = 4

So shorter pc is 4 feet

Longer pc is 2 x + 5

= (2 x 4) + 5

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If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___
JulsSmile [24]

Answer:

a) y-intercept of AB is 56/5

b) equation of line CD is:

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Step-by-step explanation:

a) If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

We are given the points A(8,0) and point B (3,7)

We need to find y-intercept i.e b

Finding slope of points A and B = y₂ - y₁/x₂ - x₁

=7-0/3-8

=7/-5

= - 7/5

So, finding y intercept b by using equation

y = mx+b

And considering point A (8,0) x = 8 and y = 0 and m = -7/5

0 = 8(-7/5) + b

0 = -56/5 + b

=> b = 56/5

So, y-intercept of AB is 56/5

b) If the coordinates of point D are (5 , 5), the equation of line CD is y = __

Since AB || CD

both will have same slope

i.e m = -7/5

we need to find y-intercept given point D (5,5)

y = mx+b

5 = -7/5(5)+b

5 = -7 + b

=> b = 5+7

=> b = 12

So, equation of line CD is:

y = -7/5x + 12

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