Answer:
-4,-4
Step-by-step explanation:
let the numbers be x and y.
x+y=-8
y=-x-8
xy=16
x(-x-8)=16
-x²-8x=16
x²+8x+16=0
x²+4x+4x+16=0
x(x+4)+4(x+4)=0
(x+4)(x+4)=0
x=-4,-4
Answer:
Step-by-step explanation:
Given that 
is the length measured in meters and
represents the same length measured in centimeters.
Let us first have a look at the relationship between meters and centimeters units of length.
1 unit of length in meters = 100 units of length in centimeters
Therefore, it can be said that:
2 units of length in meters = 200 units of length in centimeters
3 units of length in meters = 300 units of length in centimeters
4 units of length in meters = 400 units of length in centimeters
OR
units of length in meters = 100 units of length in centimeters
It is given that is the length in centimeters.
Therefore, the <em>proportional equation</em> can be written as:
Answer:
<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>
Step-by-step explanation:
Given:
10x² - y = 48 ⇒(1)
2y = 16x² + 48 ⇒(2)
From eq.(1) ⇒ y = 10x² - 48 ⇒(3)
By substitution with y from eq.(3) at eq.(2)
∴ 2(10x² - 48) = 16x² + 48
Solve for x
∴ 20x² - 96 = 16x² + 48
∴ 20x² - 16x² = 48 + 96
∴ 4x² = 144
∴ x² = 144/4 = 36
∴ x = ±√36 = ±6
By substitution with x at eq.(3)
when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312
when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312
<u>So, there are two solutions of the system which are (-6,312) and (6,312)</u>
Answer:
5 feet
Step-by-step explanation:
Total Area = Area of Triangle + Area of Square
60.5 = 35.5 + Area of Square (s²)
s² = 25
s = 5
