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julia-pushkina [17]
3 years ago
9

Please help me out on this please

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer:

8/15

please like my answer and brainliest me HSHSSHSHS

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Identify the vertex and the axis of symmetry for y=-(x+3)^2+1
Alex
<u>Vertex</u>
y = -(x + 3)² + 1
y = -(x + 3)(x + 3) + 1
y = -(x² + 3x + 3x + 9) + 1
y = -(x² + 6x + 9) + 1
y = -x² - 6x - 9 + 1
y = -x² - 6x - 8
-x² - 6x - 8 = 0
x = <u>-(-6) +/- √((-6)² - 4(-1)(-8))</u>
                      2(-1)
x = <u>6 +/- √(36 - 32)</u>
                -2
x = <u>6 +/- √(4)
</u>           -2<u>
</u>x = <u>6 +/- 2
</u>          -2
x = <u>6 + 2</u>       x = <u>6 - 2</u>
        -2                  -2
x = <u>8</u>             x = <u>4</u>
     -2                 -2
x = -4            x = -2
y = -x² - 6x - 8
y = -(-4)² - 6(-4) - 8
y = -(16) + 24 - 8
y = -16 + 24 - 8
y = 8 - 8
y = 0
(x, y) = (-4, 0)
or
y = -x² - 6x - 8
y = -(-2)² - 6(-2) - 8
y = -(4) + 12 - 8
y = -4 + 12 - 8
y = 8 - 8
y = 0
(x, y) = (-2, 0)

<u>Axis of Symmetry</u>
The axis of symmetry is equal to -3.
<u />
4 0
4 years ago
Identify the coefficient in the expression: 6 -3x +2
deff fn [24]

Answer:

8- 3x

Step-by-step explanation:

1- Calculate

6 0
3 years ago
Through any three noncollinear points, there is exactly one plane containing them. Points W, X, and Y are noncollinear.
olga2289 [7]
Correct!

When thinking of what determines a plane we can make the following comparison.

If a plane was the top part of a table, 3 legs, whose tops are points W, X and Y may hold it, as shown in the first picture.

but if the legs are in a line, as in the second figure, they may not hold the top part, so 3 collinear points cannot determine a plane. 

5 0
3 years ago
Read 2 more answers
A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
kati45 [8]

Answer:

596.34m approx

Step-by-step explanation:

Given data

Let the Starting point be x

A helicopter flew north 325 meters from x

Then flew east 500 meters

Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position

x^2= 325^2+500^2

x^2=105625+250000

x^2= 355625

x= √355625

x=596.34m

Hence the distance from the starting point is 596.34m approx

8 0
3 years ago
What is 8:10 ration in simplist form
tangare [24]

Answer: 4:5

Step-by-step explanation:

\displaystyle\\8:10=\\\\\frac{8}{10} =\\\\\frac{2*4}{2*5}=\\\\\frac{4}{5}=\\\\4:5

4 0
2 years ago
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