The equation of the line is y = 0.8x - 1.4 if the slope of the line is 0.8 and line passes through coordinates (-2,-3)
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
The slope m = 0.8
The line passing through coordinates (-2,-3)
y = mx + c
y = 0.8x + c
Plug the point in the equation.
-3 = 0.8(-2) + c
c = -1.4
y = 0.8x - 1.4
Thus, the equation of the line is y = 0.8x - 1.4 if the slope of the line is 0.8 and line passes through coordinates (-2,-3)
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Both cyclist are moving apart at a speed of 9.434 mi/hr.
<h3>
What is velocity?</h3>
Velocity is the direction at which an item is moving and serves as a measure of the rate at which its location is changing as seen from a certain point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a basic idea. A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system).
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7. x=3 is the midpoint between the roots. The other root is x = 2*3 -(-5) = 11.
8a) f(x) = (x +3)^2 -49. The vertex is (-3, -49). The roots are -10, 4.
8b) y = (x+4)^2 -1. The vertex is (-4, -1). The roots are -5, -3.
8c) f(x) = 2(x +3)^2 -34. The vertex is (-3, -34). The roots are -3±√17.
Given:
To find:
Which statement are true?
Solution:
Option A: The entire expression is a sum.
It is true because it performed addition operation.
Option B: The coefficient of s is 3.
It is not true because the coefficient of s is 
.
Option C: The term 
is a quotient.
If we divide 7 by r, we obtain a quotient.
So it is true.
Option D: The term 
has a variable.
It is not true because it does not contain any variable.
Therefore the entire expression is a sum and the term is a quotient are true statement.
Answer:
x = 9.2
Step-by-step explanation:
Use Pythagorean Theroem to find the lenght of x
a^2 + b^2 = c^2
6^2 + 7^2 = x^2
36 + 49 = x^2
85 = x^2
then find the square root of 85 which is 9.2
