Answer:
Step-by-step explanation:
Let L represent the length of the triangle.
Let W represent the width of the triangle.
The length of a rectangle is four more than three times the width. This means that
L = 3W + 4
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of this rectangle is at least 70 square centimeters, an inequality that can be solved to find the width of the rectangle is
2(L + W) ≥ 70
L + W ≥ 70/2
L + W ≥ 35
Answer:
y = -2x -9
Step-by-step explanation:
<h2><u>in order to solve this question you have to do the following : </u></h2>
1. find the midpoint of the coordinates given
2. find the gradient of the line
3. make the equation
<h3><em><u>STEP : The midpoint </u></em></h3>
formula of the midpoint is

now place the values in the equation :

midpoint = ( -3 , -3)
<h3><em><u>STEP 2 : The gradient </u></em></h3>
formula of finding the gradient

insert the values in the equation:

=
gradient = -2
<h3><em><u>STEP 3: Form the equation </u></em></h3>
use the formula of the equation :

now make use of the gradient(m) and the midpoints and insert into the equation
(y-(-3)) = -2(x -(-3))
hence
y+3 = -2 (x +3)
y= -2x -6 -3
<h3><u /></h3><h3><u>y = -2x -9 </u></h3>
Answer: correct answer is B.
Step-by-step explanation:
in the small triangle
taking 60 as reference angle
b = 
so
tan 60 = p/b
= p/(
)
30 = p
so
(taking 45 as reference angle)
so
in bigger triangle
b = 20
so
tan 45 = p/b
1 = p/(20
)
p = 20
so h^2 = p^2 + b^2
so
h^2 = (20
)^2 +( 20
)^2
= 1200 + 1200
h^2 = 2400
h =
=20
so x = 20
Prime factors of 28 are {2,2,7}