compare the 5 and 10 dimension then the 7 and 14 dimensions
10/5 =2
14/7 =2
they both are the same ratio/factor
the factor is 2
Line is Passing through the Points (-3 , -1) and (-5 , 4)
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
![\heartsuit\;Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}](https://tex.z-dn.net/?f=%5Cheartsuit%5C%3BSlope%28m%29%20%3D%20%5Cfrac%7By_1%20-%20y_2%7D%7Bx_1%20-%20x_2%7D)
here x₁ = -3 and x₂ = -5 and y₁ = -1 and y₂ = 4
![\heartsuit\;Slope(m) = \frac{-1 - 4}{-3 + 5} = \frac{-5}{2}](https://tex.z-dn.net/?f=%5Cheartsuit%5C%3BSlope%28m%29%20%3D%20%5Cfrac%7B-1%20-%204%7D%7B-3%20%2B%205%7D%20%3D%20%5Cfrac%7B-5%7D%7B2%7D)
Answer:
Longitudinal study
Step-by-step explanation:
Information is collected over extended periods of time in a longitudinal study, but in cross-sectional, natural observation, and experimental studies, information is collected over short periods of time or in one time only. Based on the choices given, this type of study would be a longitudinal study.
Graph images undergo transformations, one of the types of transformations are rotations.
rotation is done when each point of the image rotates 90° around a point in the counterclockwise manner.
when rotation is done, (x,y) -> (-y,x)
therefore when taking points from image to original then the reverse is done ;
(-y,x) --> (x,y)
the coordinates of image point q' is (-3,4)
before rotation then the coordinates are (4,3)
answer is (4,3)
3x-5=-6x+13 : Given
3x=-6x+18 : Addition property of Equality
9x=18: Subtraction property of Equality
x=2: Division Property of Equality
Step-by-step explanation:
We need to give justification to each step
Step 1:
3x-5=-6x+13
This is the question given, which we need to solve and find value of x.
Justification: Given
Step 2:
Adding 5 on both sides of the equation using addition property of equality.
3x-5+5=-6x+13+5
Simplifying
3x=-6x+18
Justification: Addition property of Equality
Step 3:
Adding 6x on both sides of the equation
3x+6x=-6x+18+6x
9x=18
Justification: Subtraction property of Equality
Step 4:
Divide both sides of the equation by 9, to find the value of x using division property of equality
9x/9=18/9
x=2
Justification: Division Property of Equality
Keywords: Solving Equations
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