10+10+10+10= 40
40+38+40+35+35= 188 total perimeter
Simplify and evaluate
9) 6x^2 - 27 + 4x^3
10) -7x2 - 5x + 9
Answer:
14 m²
Step-by-step explanation:
the height of the triangle is 3 m and the base is 4 m. 3 times 4 is 12 but then you have to half that so the area of the triangle is 6 m. The area of the rectangle is 2 times 4 which is 8. 8 plus 6 is 14. So 14 is your answer.
For the case of a line through
(
2
,
7
)
and
(
1
,
−
4
)
we have
slope
m
=
Δ
y
Δ
x
=
−
4
−
7
1
−
2
=
−
11
−
1
=
11
Using the point
(
2
,
7
)
we can write the equation of the line in point slope form as:
y
−
7
=
m
(
x
−
2
)
where the slope
m
=
11
.
That is:
y
−
7
=
11
(
x
−
2
)
To get point intercept form, first expand the right hand side so...
y
−
7
=
11
x
−
(
11
⋅
2
)
=
11
x
−
22
Then add
7
to both sides to get:
y
=
11
x
−
15
=
11
x
+
(
−
15
)
This is point intercept (
y
=
m
x
+
c
) form with slope
m
=
11
and intercept
c
=
−
15
.
25.13cm^2 or 8pi. The radius of a circle is 2 x pi x r^2. R is the radius. 2 x pi x 2^2cm -> 2 x pi x 4cm -> 8cm x pi -> 25.13cm^2. Leaving the answer in terms of pi would be 8pi.
