Answer:
slope is -1/4
y intercept is 11/2
Step-by-step explanation:
the slope is (3-5)/(10-2) = -2/8 = -1/4 (using the slope formula)
the y intercept we can set up an equation, y= mx + b
we already know m, which is -1/4 (the slope), and to find b, we could just plug in one of the points to get
5 = (-1/4)*2+b
solve the equation
b = 11/2
Answer:
(A)The area of the square is greater than the area of the rectangle.
(C)The value of x must be greater than 4
(E)The area of the rectangle is
Step-by-step explanation:
The Square has side lengths of (x - 2) units.
Area of the Square
The rectangle has a length of x units and a width of (x - 4) units.
Area of the Rectangle =
<u>The following statements are true:</u>
(A)The area of the square is greater than the area of the rectangle.
This is because the area of the square is an addition of 4 to the area of the rectangle.
(C)The value of x must be greater than 4
If x is less than or equal to 4, the area of the rectangle will be negative or zero.
(E)The area of the rectangle is
Answer:
Exam score
Step-by-step explanation:
The response variable also known as the d pendent variable, is simply the variable we intend to measure based in a set of variables (independent variables or explanatory variables) which might cause it to change. For instance, the scenario above aims to look into how a certain relaxation method will affect the exam score, here, the variable we intend to measure is the response variable which is exam score. The exam score is affected by the impact the relaxation method has on the student, hence, the relaxation method is the independent or explanatory variable.
Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is .
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that and , the following system of linear equations is constructed:
(Eq. 2)
(Eq. 3)
The solution of the system is: , . Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is .
Answer: 6
The factors of 6 are 1,2,3 and 6