(-3,12)
Because you substitute the 12 in for y and -3 in for x. Then you do you order of operations and you get 12=11 which is false.
Answer: D. n > -4
Step-by-step explanation:
<u>Given</u>
-3n < 12
<u>Divide both sides by -3. REMEMBER to change the [>,<] signs when multiplying or dividing a negative term</u>
-3n / -3 > 12 / -3
n > -4
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Answer:
10 units
Step-by-step explanation:
the line between points S & T says that it is 10 units on the label so the answer is 10 units
Answer:First, you must find the midpoint of the segment, the formula for which is
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
. This gives
(
−
5
,
3
)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y
2
−
y
1
x
2
−
x
1
, which gives us a slope of
5
.
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5
is
−
1
5
.
We now know that the perpendicular travels through the point
(
−
5
,
3
)
and has a slope of
−
1
5
.
Solve for the unknown
b
in
y
=
m
x
+
b
.
3
=
−
1
5
(
−
5
)
+
b
⇒
3
=
1
+
b
⇒
2
=
b
Therefore, the equation of the perpendicular bisector is
y
=
−
1
5
x
+
2
.
Step-by-step explanation:
This is a problem for 2 equations and 2 unknown.
so let x be the number of adults in the breakfast
y be the number of children present in the breakfast
so the total people attended is 500, in equation form
x + y = 500
and the total sales made by disney is $ 7355, in equation
17.95x + 12.95y = 7355
so we can solve the equation simultaneously so solve for the values of x and y
so the number of adults at the breakfast x = 176 adults and y = 324 children
