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Dovator [93]
3 years ago
6

The equation of a parabola is given in factored form.

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

The parabola's axis of symmetry is x = -6

Step-by-step explanation:

Parabola general equation:

y = a*(x - r1)*(x - r2)

Equation given:

y = (-1/4)*(x + 2)*(x + 10)

a = -1/4

r1 = -2

r2 = -10

To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:

y = (-1/4)*(2+ 2)*(2 + 10) = -12

Then, point (2, 10) is not included in the parabola.

If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward

Axis of symmetry:

h = (r1 + r2)/2

h = (-2 + -10)/2 = -6

Then, The parabola's axis of symmetry is x = -6

To find Parabola's vertex, replace with the axis of symmetry:

y = (-1/4)*(-6 + 2)*(-6 + 10) = 4

Therefore, the parabola has a vertex at (-6, 4)

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If line a is perpendicular to line b and the slope of line a is 7 whats the slope of line b
amm1812

Answer:

If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line.  The first thing that we do to the slope is we negate the number which means that if we have a slope of -7 our slope because 7 in this step.  In our case our slope is 7 so in this step it becomes -7.

Moving onto the second part which is to get the reciprocal of the number which means that if we have \frac{1}{2} then we would switch it to 2.  In our case our number is -7 so we would make that into a fraction like this -\frac{1}{7}.

In conclusion, our final slope of the perpendicular line is -\frac{1}{7}.

<u><em>Hope this helps!  Let me know if you have any questions</em></u>

8 0
2 years ago
Read 2 more answers
Plss answerrrr thankyou!!
alexgriva [62]

Answer:

Step-by-step explanation:

1 5/8 = 13/8

so

5/8 + 8/8

10/8 + 3/8

i could go on forever but.

do ya want to impress ya teacher?

500/800 + 800/800

and

2/4 + 4/4

7 0
3 years ago
Solve the quadratic equation by using a numeric approach.
Sonja [21]

The solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Given the quadratic function expressed as;

0.02x²+ 0.5x - 4 = 0

Multiply through by 100 to have;

2x² + 50x - 400 = 0

Using the general formula to solve:

x = -50±√2500-4(2)(-400)/2(2)

x = -50±√2500+3200/4

x = -50±75.49/4

x = -31.3 or 6.3

Hence the solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Learn more on quadratic function here: brainly.com/question/25841119

8 0
3 years ago
Evaluate the expression. (6-2)[(2+3)+4<br> A) 9 <br> B) 13 <br> C) 24<br> D)36
Kipish [7]
(6-2)(2+3)+4

(4)(5)+4

20+4

=24
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3 years ago
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Find the value of n in the solution to the system of equations shown : m=5n-3, m=3n+7 ​
Triss [41]

The value of n is 5

n = 5

4 0
3 years ago
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