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Answer:
4y = x - 17
Step-by-step explanation:
First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = +
which make the gradient, m, the coefficient of x =
. Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)
Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)
y - 3 = (x - 5); y - 3 =
-
; y =
-
+3
y = -
; y =
; 4y = x - 17
Answer:
x > -2
Step-by-step explanation:
Solve the inequality -4x < 8 using inverse operations. If you divide or multiply by a negative, flip the inequality sign.
x > -2
We are said that a rectangle has been transformed into the one indicated in Figure 1 according to this rule:
We know that the center of rotation is origin and two rules are applied to rotate a point 90 degrees, namely:
1. Clockwise
In this case, the rule to transform a point is:
This rule was already applied to form the image, so all we need to do is to reverse the answer using this formula, therefore:
2. Counterclockwise
Applying the same previous concept but with the new rules for this case:
By reversing the answer, we have:
We know that the center of rotation is origin and two rules are applied to rotate a point 90 degrees, namely:
1. Clockwise
In this case, the rule to transform a point is:
This rule was already applied to form the image, so all we need to do is to reverse the answer using this formula, therefore:
2. Counterclockwise
Applying the same previous concept but with the new rules for this case:
By reversing the answer, we have: