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Alisiya [41]
3 years ago
14

What are the vertex and axis of symmetry of the parabola y = x2 – 16x + 63?

Mathematics
1 answer:
jonny [76]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Remember that the x-value of the vertex when an equation is given in standard form can be found with the equation \frac{-b}{2a}. So, we can take the coefficients from the equation and plug them in.

\frac{-b}{2a} \\\frac{-(-16)}{2(1)}\\\\\frac{16}{2}\\\\8

Now we know that the x-value of the vertex is 8. Next, the equation for the y-value is c-ah^2, where h is the x-value of the vertex (8).

(63)-(1)(8)^2\\63-64\\-1

So the vertex is (8,-1).

Finally, the axis of symmetry is the x-value of the vertex, also called h.

Final answer, vertex: (8,-1) and axis of symmetry: x=8

Hope this helps!

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erica [24]

Answer:

x -7

Step-by-step explanation:

(3x + 5) + (2x - 9) - (4x+3)

3x + 5 + 2x - 9 -4x -3

x -7

8 0
3 years ago
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What is the value if 3^0
stira [4]

3^0 if zero is an exponent then the answer would be 1.


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3 years ago
- Which is greater?<br> 5 2<br> a) or<br> 16 9
azamat

Answer:

5/2

Step-by-step explanation:

5/2= 2 1/2

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3 years ago
6. The vertices of ALMN are L(7,4), M(7,16), and
max2010maxim [7]

Answer:

(a) LM=12 units, LN=35 units, MN=37 units

(b)8 84 units

(c) 210 square units

Step-by-step explanation:

(a)

Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane

Length LM=\sqrt {(7-7)^{2}+(16-4)^{2}}=12 units

Length LN=\sqrt {(42-7)^{2}+(4-4)^{2}}=35 units

LengthMN=\sqrt {(42-7)^{2}+(4-16)^{2}}=37 units

Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where

MN=\sqrt {(LN)^{2}+(LM)^{2}}=\sqrt {(12)^{2}+(35)^{2}}=37 units

Therefore, the lengths LM=12 units, LN=35 units and MN=37 units

(b)

Perimeter is the distance all round the figure

P=LM+LN+MN=12 units+35 units+37 units=84 units

(c)

Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units

Therefore, A=0.5*12*35= 210 square units

4 0
3 years ago
3/7 of a number is 15,what is the number
tatyana61 [14]

Answer:


The answer is 35

Step-by-step explanation:

If you do 15 divided by 3/7 you herb 35 you can check it by doing 3/7 of 35 and you get 15


8 0
3 years ago
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