Area of a rhombus = 1/2 x diagonal 1 x diagonal 2
= 1/2 x 15 1/2 x 13 1/5
= 1/2 x 31/2 x 66/5
=31/2 x 33/5
= 1023/10
= 102.3
Final Answer: 102.3 square feet
Answer:
b. w= 8x^2-2y / y
Step-by-step explanation:
Given:
(2*x^2)/y = (w+2)/4
Isolating w, we get:
w = (8*x^2)/y - 2
Multiplying and dividing the second term in the right-side of the equality by y, we get:
w = (8*x^2)/y - 2*y/y
Subtracting the fractions:
w = (8*x^2 - 2y)/y
Y =ax² + bx +c
1) Point (0,7)
7 = a*0² +b*0 +c
c = 7
y=ax² + bx + 7
2) Point (1,4)
4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------>
a+b= - 3
3) Point (2, 5)
5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ---->
-1=2a + b
4)
a+b= - 3, ----> b= -3 - a (substitute in the second equation)
2a+b= -1
2a - 3 - a = -1, ----> a - 3 = -1,
a =2
5) a+b= - 3
2 + b = -3
b = -5
y=2x² - 5x + 7
Answer:
x = 5
Step-by-step explanation:
a² + b² = c²
x² + 12² = 13²
x² + 144 = 169
x² = 169 - 144
x² = 25

x = 5