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lesantik [10]
3 years ago
5

A parabola has a vertex at (-1,0) and opens down. What is the equation of the parabola?

Mathematics
1 answer:
Lapatulllka [165]3 years ago
5 0

Answer:

y = - (x + 1)²

Step-by-step explanation:

Vertex form of a parabola is given by,

y = -(x - h)² + k

Where (h, k) is the ordered pair representing vertex.

(-) sign denotes that the parabola is opening downwards.

If the coordinates of the given parabola is (-1, 0)

Equation of the parabola will be,

y = - (x + 1)² + 0

y = - (x + 1)²

Therefore, equation of the parabola will be, y = - (x + 1)²

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The perimeter of the rectangle below is:
blondinia [14]

Answer:

18x + 28 is the perimeter

Step-by-step explanation:

As perimeter is the som of all side

So    P = 6x+8 + 3x+6 + 6x+5 + 2x+2 + 3 + x+4

          = 6x+3x+6x+2x+x + 8+6+5+2+3+4

         = 18x + 28

5 0
2 years ago
Given points A (-5, 6) and B (7, -1), find: Distance, Midpoint, and Slope
a_sh-v [17]
We have that
<span>points A (-5, 6) and B (7, -1)

Part A)
find the distance
d=</span>√[(y2-y1)²+(x2-x1)²]-------> d=√[(-1-6)²+(7+5)²]----> d=√(49+144)
d=√193  units

Part B)
find the midpoint
ABx=(x1+x2)/2-----> (-5+7)/2-----> ABx=1
ABy=(y1+y2)/2-----> (-1+6)/2-----> ABy=2.5

the midpoint is (1,2.5)

Part C)
find the slope
m=(y2-y1)/(x2-x1)-----> m=(-1-6)/(7+5)--------> m=-7/12

the slope m=-7/12
4 0
3 years ago
Someone help me please I don't know how to do this ! :(
Ivanshal [37]
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5 0
3 years ago
In a pen of goats and chickens, there are 40 heads and 150 feet. How many goats and chickens are in the pen?
s2008m [1.1K]

Hey there!!

A chicken has 1 head and 2 feet . A goat has 1 head and 4 feet

For heads, total = 40

Let us take the number of chickens as ' x ' and goats as ' y '

x + y = 40 ------------- ( 1 )

2x + 4y = 150 ----------- ( 2 )

Multiply the first equation with 2

2x + 2y = 80

2x + 4y = 150

Subtract the first equation from the first

2y = 70

y = 35

Number of goats = 35

substitute this in other equation

x + y = 40

x + 35 = 40

x = 5

Number of chickens are 4

Hope it helps!

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3 years ago
The figure undergoes a 90° rotation counterclockwise, followed by a reflection across a vertical line.
ollegr [7]

I am almost confident it is B

8 0
3 years ago
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