Answer:
D) 5
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes.
The line: 
has a slope of 
as it is in y=mx+b form, where m is the slope, and b is the y-intercept.
Since the slope is , we see that the negative reciprocal slope is 
, as 
is the reciprocal (flip the numerator and denominator).
From here, we can use point slope form: 
, where 
is the point. In this case, (3, 1) is the point.
Thus, we have: 
as our final equation.
Simplifying: 
And: 
, which gives us the y-intercept to be 5.
Let me know if this helps!
Answer:
z = 66
Step-by-step explanation:
QT is a midsegment. Thus, applying the midsegment theorem:
RS = 2(QT)
QT = z - 33,
RS = z
Plug in the values into the equation
z = 2(z - 33)
z = 2z - 66
Subtract 2z from each side
z - 2z = -66
-z = -66
Divide both sides by -1
z = 66
The answer is r = 2. hope this helps :)
Answer:
324 calories
Step-by-step explanation:
A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal
The unit rate for calories per cup = calories per cup
3/4 cup serving = 81 calories
3 cups of cereal = x calories
We Cross Multiply
3/4 × x = 81 × 3
x = (81 × 3) ÷ 3/4
x = 243 × 4/3
x = 324 calories per cup
There are 324 calories in 3 cups of cereal
