Answer:
2
Step-by-step explanation:
To find the slope, we use the equation
m = (y2-y1)/(x2-x1)
Since the have the points (2,-4) and (4,0)
m = (0--4)/ (4-2)
= (0+4)/(4-2)
= 4/2
=2
Answer:
12 cm = 21.62 miles
6 cm = 11.04 miles
Step-by-step explanation:
To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of
and simplify.
We know
. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write
and
We set them equal.
and
To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

and

Answer:
The y coordinates are the same since they are both at y= 4
Step-by-step explanation:
Simplify
−
3
(
j
+
3
)
+
9
j
-
3
(
j
+
3
)
+
9
j
.
Tap for fewer steps...
Simplify each term.
Tap for more steps...
−
3
j
−
9
+
9
j
<
−
15
-
3
j
-
9
+
9
j
<
-
15
Add
−
3
j
-
3
j
and
9
j
9
j
.
6
j
−
9
<
−
15
6
j
-
9
<
-
15
Move all terms not containing
j
j
to the right side of the inequality.
Tap for fewer steps...
Add
9
9
to both sides of the inequality.
6
j
<
−
15
+
9
6
j
<
-
15
+
9
Add
−
15
-
15
and
9
9
.
6
j
<
−
6
6
j
<
-
6
Divide each term in
6
j
<
−
6
6
j
<
-
6
by
6
6
and simplify.
Tap for fewer steps...
Divide each term in
6
j
<
−
6
6
j
<
-
6
by
6
6
.
6
j
6
<
−
6
6
6
j
6
<
-
6
6
Simplify the left side.
Tap for more steps...
j
<
−
6
6
j
<
-
6
6
Simplify the right side.
Tap for more steps...
j
<
−
1
j
<
-
1
The result can be shown in multiple forms.
Inequality Form:
j
<
−
1
j
<
-
1
Interval Notation:
(
−
∞
,
−
1
)
Answer:
-3 and 7
Step-by-step explanation:
4 -(-10) = 14
14÷2=7(largest no.)
7-10=-3(smallest no.)