The given conditional statement is : If 7<5, then 5<3.
Inverse: If 7≥5 then 5≥3 (The inverse is true)
Contrapositive: if 5≥3 then 7≥5 (The contrapositive is true)
Converse: if 5<3 then 7<5 (The converse is true)
From the properties of conditional statement we know that:
if p→q then
- inverse is :
- contrapositive:
- Converse:
Let us elaborate on the above conditions. Let us take two statement p and q such that If p happens then q also happens.
- The inverse of a conditional statement is given as "if not p then not q"the converse is given as "if q then p"The contrapositive of the statement states "if not q then not p"
- The following statements can be used for converting the conditional statements to its inverse, converse or contrapositive.
To learn more about conditional statements:
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If you factor it the answer would be (2x+1)(2x+5). Hope this helped.
Answer:
b) -9.25
Step-by-step explanation:
-1/4 = -0.25
-9 + -0.25 = -9.25
-10, -9.75, -9.5, -9.25, -9, -8.75, -8.5, -8.25, -8, -7.75, -7.5, -7.25, -7
Hope this helps!
1. y = -1/2 + 2.
2. y= 2/5x - 4/5
Answer:
The equation of the line is y = 
x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵ 
→ Simplify it by dividing up and down by 2
∴ m =
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = x + 2
∴ The equation of the line is y = x + 2
