Answer:
The equation of the parabola is (x-2)^2 = 48(y-5)
Step-by-step explanation:
Mathematically, we can obtain the equation of a parabola from its focal point and the directrix given.
Firstly, we need to find the distance between the director and the vertex
That would be ;
|-7-(5)| = 12
We should kindly note that the directrix is below the vertex and thus it is a right-side parabola with a positive value of p = 12
Thus, the equation needed would be;
(x-h)^2 = 4p(y-k)
From the question, h = 2
p = 12 ( calculated) and k = 5
So the equation would be;
(x-2)^2 = 4(12)(y-5)
= (x-2)^2 = 48(y-5)
Answer:
ndndndbdgssjeh
Step-by-step explanation:
mnnnbnjkkkjjhggg
Answer:
Step-by-step explanation:
1: Write g(t) as y, resulting in
2: Interchange the variables y and t, resulting in
3: Multiply both sides by 27, resulting in
4: Divide both sides by -8, resulting in
5: Find the cube root of both sides, resulting in
6: Apply a radical rule, resulting in
7: Apply another radical rule, resulting in
8: Simplify the denominator, resulting in
9: Apply yet another radical rule, resulting in
10: Simplify , resulting in
Answer: Sally paid less
Step-by-step explanation:
From the question, Sally paid $1.50 for 2 1/2 pounds of apples at the Grocery Mart. The cost per pound of apple will be:
= $1.50 ÷ 2 1/2
= $1.50 / 2.5
= $0.6 pee pound of apple
Fred paid $1.95 for 3 pounds of apples at the Corner Fruit Stand. The cost per pound of apple will be:
= $1.95 / 3
= $0.65 pee pound of apple.
Sally paid less
The value of x that makes triangle rst similar to triangle hgk is x = -2.2
<h3>What are
similar triangles?</h3>
Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Since both triangles are similar, hence:
GH/RS = HK/ST
(x + 7) / 3 = 8/5
x = -2.2
The value of x that makes triangle rst similar to triangle hgk is x = -2.2
Find out more on similar triangles at: brainly.com/question/2644832