Given:
The dimensions of a rectangle are
and
.
To find:
The expression that represents the area of the rectangle in simplest terms.
Solution:
Area of a rectangle is:

The dimensions of a rectangle are
and
. So, the area of the given rectangle is:




Therefore, the correct option is F, i.e.,
.
3m+4=1
subtract 4 on both sides
3m=-3
divide both sides by 3
m=-1
Answer:
Option D
Step-by-step explanation:
<h2>Distance between two points</h2>
The y-value of the two points is unchanged. So, the line is parralel to x-axis.
The distance will be the diffrence between the x-co ordinates.


If you distribute -4 through (5k-7), it equals -20k + 28. Then put on the other -2k on that side of the equals sign and you should have -22k + 28 = -2(9k+5) Then you need to distribute -2 through (9k+5) which equals -18k - 10. You then should have -22k+28=-18k-10. Add 22k to both sides to cancel it out, then you should have 28=4k-10. Add 10 to both sides to get the 4k by itself, which will be 38=4k, then divide both sides by 4 to get k by itself. 38/4 = 19/2. k = 19/2
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r =
=
=
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D