Because the parabola opens down and the vertex is at (0, 5), we conclude that the correct option is:
y = -(1/8)*x² + 5.
<h3>
Which is the equation of the parabola?</h3>
The relevant information is that we have the vertex at (0, 5), and that the parabola opens downwards.
Remember that the parabola only opens downwards if the leading coefficient is negative. Then we can discard the two middle options.
Now, because the parabola has the point (0, 5), we know that when we evaluate the parabola in x = 0, we should get y = 5.
Then the constant term must be 5.
So the correct option is the first one:
y = -(1/8)*x² + 5.
If you want to learn more about parabolas:
brainly.com/question/4061870
#SPJ1
Answer:
Step-by-step explanation:
- x + y + z = -3 --> (1)
- 3y - z = 4 --> (2)
- 2x - y - 2z = -5 --> (3)
<u>Add up (1) and (2)</u>
- x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)
<u>Double (2) and subtract from (3)</u>
- 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
- 2x - 7y = -13 --> (5)
<u>Double (4) and subtract (5)</u>
- 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1
<u>Finding x</u>
- x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3
<u>Finding z</u>
<u>So the answer is: </u>
Given the equation:
Let's determine the trigonometric identity that you could be used to verify the exquation.
Let's determine the identity:
Apply the trigonometric identity:
Replace cosx for 1/secx
Thus, we have:
The equation is an identity.
Therefore, the trignonometric identity you would use to verify the equation is:
ANSWER:
Answer:
x < -8
Step-by-step explanation:
3 - (2x - 5) < -4 (x+2)
distribute
3 - 2x + 5 < -4x - 8
add the numbers
8 - 2x < -4x - 8
move the x
2x < -16
divide
x < -8
Answer:
Step-by-step explanation:
∠ABC = 1/2 ∠AOC
since we know ABC = 30° we can solve for AOC with a bit of Algebra
30 = 1/2 AOC
60 ° = AOC
:) does it make sense?
the formula about is for inscribed angles , that is an angle that touches the outside of the circle and then goes through the other side. :) Like ∠ABC
