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vichka [17]
3 years ago
8

A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible

equation of this parabola and explain how you found it
Mathematics
1 answer:
Ilya [14]3 years ago
6 0

 

hello :<span>
<span>the parabola's equation is : f(x) = a(x-h)²+k
the verex is (h,k)
</span></span><span>line of symmetry x = h
</span><span>The minimum  or maximum value is : k 
</span>a possible equation of this parabola is :   f(x) = a(x+5)²-7
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What is the distance between (-7, -2) and (13,-23)
Zolol [24]

Step-by-step explanation:

here,

x1=-7

x2=13

y1=-2

y2=-23

so

\boxed{\blue{ distance=\sqrt{(y2-y1)^2+(x2-x2)^2} }} ⠀

<em>=</em>\tt{\sqrt{(-23-(-2))^2+(13-(-7))^2}} ⠀

=\tt{\sqrt{(-21)^2+(20)^2}  } ⠀

=\tt{\sqrt{ 441+400} } ⠀

=\tt{\sqrt{841}  } ⠀

=\tt{ 29 } ⠀

So,

the distance between (-7, -2) and (13,-23)=29

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3 years ago
Which are true about the pyramid? Check all that apply.
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Answer:

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Step-by-step explanation:

Correct on edge 2021!

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How do you factorize p2 + 2p - 3 =0
julia-pushkina [17]

Answer:

Solution

p = {-3, 1}

Step-by-step explanation:

Simplifying

p2 + 2p + -3 = 0

Reorder the terms:

-3 + 2p + p2 = 0

Solving

-3 + 2p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.

(-3 + -1p)(1 + -1p) = 0

Subproblem 1

Set the factor '(-3 + -1p)' equal to zero and attempt to solve:

Simplifying

-3 + -1p = 0

Solving

-3 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -1p = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -1p = 0 + 3

-1p = 0 + 3

Combine like terms: 0 + 3 = 3

-1p = 3

Divide each side by '-1'.

p = -3

Simplifying

p = -3

Subproblem 2

Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying

1 + -1p = 0

Solving

1 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -1p = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -1p = 0 + -1

-1p = 0 + -1

Combine like terms: 0 + -1 = -1

-1p = -1

Divide each side by '-1'.

p = 1

Simplifying

p = 1

Solution

p = {-3, 1}

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