Answer:
Step-by-step explanation:
Perimeter of rectangle =2l+2w
10 feet by 3.5 feet
l = 10feet and w = 3.5feet
Perimeter = 2(10) + 2(3.5)
Perimeter = 20 + 7
Perimeter = 27feet
The answer is D) (-1,-12)
Reason:
1) substitute 2x-10 for y in y=4x-8
2) 2x-10=4x-8
3) -2x-10=-8
4) -2x=2
5) x=-1
6) substitute -1 for x in y=2x-10
7) y=(2)(-1)-10
8) y=-12
Answer
x=-1 and y=-12
(√3 + √11)² + (√3 - √11)²
- (a+b)² = a² + b² + 2ab
- ( a - b )² = a² + b² - 2ab
<em>Now </em><em>,</em>
(√3 + √11)² + (√3 - √11)²
(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)
14 + 2√33+ 14 - 2√33
14 + 14 = 28
Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .
Answer:
Jamie, because 9 out of 10 is a 90 and 12 out of 15 is an 80
Answer:
Step-by-step explanation: This is the quadratic function:
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
