Answer : option B
Given: center (4,2), vertex (9,2), and focus (4+2sqrt5,2)
The distance between vertex and center is 9-4 = 5
Center is (h,k) so h= 4 and k =2
focus is (h+c,k)
From the given focus (4+2sqrt5,2), c= 2sqrt(5)
Standard form of equation is
h= 4, k=2, a=5, c=2sqrt(5), we need to find out b
b^2 = 5
plug in all the values
Option B is correct
The area of a triangle is found with 1/2(b x h).
a = 1/2(4 x 14)
Multiply 4 by 14.
a = 1/2(56)
Multiply 56 by 1/2.
a = 28
The area of the triangle is 28 square units, hope this helps!
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Answer:
Step-by-step explanation:
1) A = x
Flower garden is in rectangular shape. In rectangle, opposite sides are equal.
2) The entire garden is in rectangular shape. In rectangle, opposite sides are equal.
B + x+ 4 = 10x + 6
Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change
B = 10x + 6 - x - 4
B = 10x - x + 6 - 4 {Combine like terms}
B = 9x + 2
3) C + x -2 = 5x -3
C = 5x - 3 - x +2
C = 5x -x - 3 + 2
C = 4x - 1
4) Area of Vegetable garden = length * width
= (5x - 3) * (9x + 2)
Use FOIL method
= 5x *9x + 5x*2 + (-3)*9x + (-3)*2
= 45x² + 10x - 27x - 6
= 45x² - 17x - 6
