Answer:
16x^2 - 49y^2 = 784
Step-by-step explanation:
as we know that this is the standard equation of hyperbola bcz 1 coordinate of vertices is 0.
since in vertices x coordinate is present and y coordinate is 0 so Tranverse axis of hyperbola is along x axis .
vertices in general = (a,0) and (-a,0)
vertices given = ( 7,0) and (-7 , 0)
so a=7
similarly
co vertices in general = ( 0 , b) and ( 0 , -b)
co vertices given = ( 0, 4) and (0 , -4)
so,
b= 4
now equation for x axis is:
(x2/a2) - ( y2/b2) = 1
by putting values we observe the ans is
16x^2 - 49y^2 = 784
Answer:
2x - 19
Step-by-step explanation:
Perimeter = sum of sides
First let's simplify each side
We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.
2(x + 5)
Distribute by multiplying x and 5 by 2
2 * x = 2x and 2 * 5 = 10
2x + 10
1/2(4x + 8)
Distribute by multiplying 4x and 8 by 1/2
1/2 * 4x = 2x and 1/2 * 8 = 4
2x + 4
-3(2x + 11)
Distribute by multiplying 2x and 11 by -3
-3 * 2x = -6x
-3 * -33
-6x - 33
Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )
2x + 10 + 2x + 4 - 6x - 33
Combine like terms
2x + 2x - 6x = -2x
10 + 4 - 33 = -19
Perimeter: -2x - 19
<span>it's y-intercept (0,-1) and (1,2)
so
slope = (2+1)/(1-0) = 3
</span><span>equation should be y = 3x − 1
answer: </span><span>y = 3x − 1</span>
Step-by-step explanation:
Given that,
The length of the shelf = 24 inches
The width of the shelf = 7 inches
Area of the shelf, A = 24 × 7
= 168 inch²
When the width of the shelf is doubles,
New width = 14 inch
New area, A' = 14×24
= 336 inch²
It means,
A' = 2(A)
So, the new area becomes 336 inch² i.e. twice the initial area.
Answer:
8.68 seconds
Step-by-step explanation:
Given:
Height of the deck above the street, s = 370 m
Since the condition is of free falling
thus,
initial speed, u = 0
Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²
Now,
from Newton's equation of motion, we have
here,
s is the distance
a is the acceleration
t is the time
on substituting the values, we get
or
t² = 75.433
or
t = 8.68 seconds
