Answer:
y =
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 10x + 1 ← is in slope- intercept form
with slope m = - 10
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, thus
y =
x + c ← is the partial equation
To find c substitute (5, 7) into the partial equation
7 =
+ c ⇒ c = 7 -
= 
y =
x +
← equation of line
Conditional statement is a statement with a hypotesis and a conclusion:
If
, then
or mathematically
.
Converse statement of
is statement
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:
.
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:
.
Then,
Answer: the correct choice is D (the inverse of the original conditional statement).
The tip is $15.73. I get that by multiplying 78.63 and .20. then you add the tip to the bill and get $94.36. you then find the discount by multiplying 94.36 and .15. the discount is 14.15. then subtract 14.15 from 94.36 to get your total.
the answer is $80.21
Hello!
The above expression exemplifies a “complex number.” A complex number takes the following form:
a + bi
In this case, A is equal to (5) while B is equal to (-3). To find the modulus of a complex number, we will need to use the following formula (let “x” represent the modulus):
x = √(a² + b²)
Insert any known values into the formula above:
x = √((5)² + (-3)²)
Simplify the right side of the equation:
x = √(25 + 9)
x = √34
We have now proven that the modulus is equal to √34.
I hope this helps!