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KonstantinChe [14]
3 years ago
8

What is the equation of the axis of symmetry of the parabola y=-2x^2+8x-7? x=.....

Mathematics
1 answer:
guapka [62]3 years ago
4 0

Answer:

Equation of axis of symmetry is x = 2

Step-by-step explanation:

The equation of the parabola is given as;

y = -2x² + 8x - 7

The equation of the axis of symmetry is given by;

x = -b/2a

In the parabola equation given and using letters of quadratic equation, we can say that;

a = - 2

b = 8.

c = -7

Thus;

x = -b/2a = -8/(2 × - 2)

x = 8/4

x = 2

Equation of axis of symmetry is x = 2

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Which of the following sets could be the sides of a right triangle?
coldgirl [10]

Answer: Choice B) {3, 5, sqrt(34)}

=====================================

Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

-----------

For choice A,

a = 2

b = 3

c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

c^2 = (sqrt(10))^2 = 10

which is not equal to 13 from above. Cross choice A off the list.

-----------

Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

a^2 = 3^2 = 9

b^2 = 5^2 = 25

c^2 = (sqrt(34))^2 = 34

We can see that

a^2+b^2 = 9+25 = 34

which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

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3 years ago
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
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Answer:

(1,1)

Step-by-step explanation:

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