Explanation:
first find the slope m of the line passing through the
the 2 given points
to calculate the slope m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
1
,
3
)
and
(
x
2
,
y
2
)
=
(
−
5
,
6
)
m
=
6
−
3
−
5
−
1
=
3
−
6
=
−
1
2
given a line with slope m then the slope of a line
perpendicular to it is
∙
x
m
perpendicular
=
−
1
m
hence
m
perpendicular
=
−
1
−
1
2
=
2
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
here
m
=
2
y
=
2
x
+
b
←
is the partial equation
to find b substitute
(
−
2
,
7
)
into the partial equation
7
=
−
4
+
b
⇒
b
=
7
+
4
=
11
y
=
2
x
+
11
←
is the required equation
Answer:
Sales tax: $52.74
■ Cost/Price before ST: $878.99
■ Total Cost/Price including ST: $931.73
Step-by-step explanation:
Answer:
The number of hot dogs sold was 35 and the number of sodas sold was 52
Step-by-step explanation:
Let
x ----> the number of hot dogs sold
y ----> the number of sodas sold
we know that
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
solve for y
<em>Find the value of x</em>
therefore
The number of hot dogs sold was 35 and the number of sodas sold was 52
D, since X has only one box and is negative.
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
<span>
</span>
<span>Step 2: Multiply both top and bottom by that number.</span>
<span>Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
</span>
