Answer:
Rational and integer i.e option A and C
True Answer
A. He used military to retake old egyptian territory.
Answer: 50 cases per minute
Step-by-step explanation:
1. Select one of the points on the graph. Let's use (2, 100) in this case.
2. Divide the number of cases (y) by the amount of minutes (x) This means the equation would be 100 ÷ 2.
3. Since 100 cases ÷ 2 minutes = 50 cases per minute, that means that is unit rate, which can be expressed by y = 50x or f(x) = 50x.
Answer:
The points are: (16.12,0),(-8.12,0).
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
Distance between two points:
Suppose we have two points, 
and 
. The distance between them is given by:
Find all points on the x-axis that are 14 units from the point (4, -7).
Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).
The distance is 14. So
So 
The points are: (16.12,0),(-8.12,0).
Answer:
5, 12, 13
Step-by-step explanation:
let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg
Using Pythagoras' identity in the right triangle
x² + (x - 7)² = (x + 1)² ← expand using FOIL
x² + x² - 14x + 49 = x² + 2x + 1
2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )
x² - 16x + 48 = 0 ← in standard form
(x - 4)(x - 12) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 12 = 0 ⇒ x = 12
x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible
x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13
The lengths of the 3 sides are
longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m
