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lys-0071 [83]
3 years ago
7

How do you illustrate quadratic equation in one varible?​

Mathematics
1 answer:
kvasek [131]3 years ago
6 0

Answer:

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.

Step-by-step explanation:

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Write an equation in slope - intercept form for the line that satisfies each set of conditions
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides

2y = - 3x + 1 ( divide all terms by 2 )

y = - \frac{3}{2} x + \frac{1}{2} ← in slope- intercept form

with slope m = - \frac{3}{2}

Parallel lines have equal slopes, thus

y = - \frac{3}{2} x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - \frac{3}{2} x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - \frac{1}{2} x + 4 ← in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 10 + c ⇒ c = - 2 - 10 = - 12

y = 2x - 12 ← equation of line

3 0
2 years ago
Read 2 more answers
First question :Alexander the great became king in 336 B.C and died 13 years later. what year did he die?
ivann1987 [24]

1 he died In 326 B.C

2 I believe the answer is 120 calories

3 the answer is -14

7 0
2 years ago
Ben earns a salary of $120 a week plus $25 for each table he sells at
gtnhenbr [62]

Answer:

add 25 each time and count how many times you add it on

Step-by-step explanation:

and that will be your answer

7 0
2 years ago
Brandon sold at least 168 tickets for a carnival. He sold 4 more adult tickets than children tickets.
iris [78.8K]

Answer:

80

Step-by-step explanation:

6 0
3 years ago
6.95 (5) + 1.50 what is the answer to that
IceJOKER [234]
The answer is 36.25.
7 0
3 years ago
Read 2 more answers
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