Answer:
y = -3.5x + 15
Step-by-step explanation:
Your slope-intercept equation is always y = mx + b
Using this formula, we need to find slope first: m = (y2-y1) / (x2-x1)
Step 1: Find slope
m = (1-8) / (4-2)
m = -7/2
Step 2: Plug in into slope-intercept form
y = -3.5x + b
Step 3: Find <em>b </em>(Plug in a coordinate given)
1 = -3.5(4) + b
1 = -14 + b
b = 15
Step 4: Combine it all together
y = -3.5x + 15
And you have your final answer.
Answer:
6 more students
Step-by-step explanation:
hope this helps
Answer:
1/3
Step-by-step explanation:
The slope of a line is rise over run, aka. rise/run. You will need to "rise" 1 unit up and "run" three units to the right to reach the next point.
Answer:
It is a perfect square. Explanation below.
Explanation:
Perfect squares are of the form
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
. In polynomials of x, the a-term is always x.(
(
x
+
c
)
2
=
x
2
+
2
c
x
+
c
2
)
x
2
+
8
x
+
16
is the given trinomial. Notice that the first term and the constant are both perfect squares:
x
2
is the square of x and 16 is the square of 4.
So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,
8
x
is of the form
2
c
x
.
The middle term is twice the constant times x, so it is
2
×
4
×
x
=
8
x
.
Okay, we found out that the trinomial is of the form
(
x
+
c
)
2
, where
x
=
x
and
c
=
4
.
Let us rewrite it as
x
2
+
8
x
+
16
=
(
x
+
4
)
2
. Now we can say it is a perfect square, as it is the square of
(
x
+
4
)
.
Answer:
Area=15
Perimeter=16
Step-by-step explanation:
First, section the shape off by easier work with shapes.
The two end triangles can then form one large rectangle that is 5in. x 3in.
Next just multiply the length times the width for the area which is 15 in., and add all of the sides up, which will give you 16 in.
