<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>
<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>
<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>
<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>
<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>
<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>
<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>
<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>
<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>
<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>
<span>Or, if you prefer, (3, 0), (-5, 0). </span>
Since you are finding the area, i think, I'm pretty sure but anyway do 9 × 6. and your are should be 54 ft
Answer:ccccc
Step-by-step explanation:
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Answer:
Yes.
Step-by-step explanation:
The triangle inequality theorem states that in order for something to be a triangle, any of it's two sides added together must be greater than the remaining side. Because 4 and 5 are the shortest sides and they satisfy the triangle inequality theorem, you can form a triangle.
<u>Answer:
</u>
Billy Bob’s farm is 80 m north of his house. The farms pond is 120 m west of the house. So the distance between the pond and the farm is 144.42 m.
<u>
Solution:
</u>
From question, given that billy bob’s farm is 80 m north of his house and pond is 120 m west of the house.
The given can be represented using the diagram given below:
where,
“a” indicates the distance between the house and the pond
“b” indicates the distance between the house and the farm
“c” indicates the distance between the farm and the pond.
For a right angled triangle, by Pythagoras theorem,
= 20800
Taking square root on both sides, we get
= 144.22 m
Hence the distance between the pond and farm is 144.22 m