Answer:
m = 10
Step-by-step explanation:
Given w is inversely proportional to m then the equation relating them is
w = 
← k is the constant of variation
To find k use the condition w = 8, m = 25 , then
8 = 
( multiply both sides by 25 )
200 = k
w = 
← equation of variation
When w = 20 , then
20 = ( multiply both sides by m )
20m = 200 ( divide both sides by 20 )
m = 10
Another quadrilateral that you might see is called a rhombus. All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram. In summary, all squares are rectangles, but not all rectangles are squares.
Answer:
Step-by-step explanation:
The graph that represents the function
f(x) = (x + 4)(x + 1)(x - 3)
crosses the x-axis three times: at x = -4, x = -1, and x = 3
because we apply the zero product rule and found the roots -4, -1, and 3
x+ 4= 0 → x = -4
x+1 = 0 → x = -1
x-3 = 0 → x = 3
Solve the second equation for y
Substitute the given value of y into the first equation
Solve the equation for x
Substitute the given value of x into the second equation
Solve the equation for y
The possible solution of the system is the ordered pair (x,y)
The 3 sides of the triangle are PR = 8.4, OR = 5.4 and OP = 3.1
Step-by-step explanation:
Step 1 :
Given
PR = 3x - 0.6
OP = x + 0.1
OR = x + 2.4
Also the 2 sides OR and PR are said to be equal.
So we have OR = PR
=> 3x - 0.6 = x + 2.4
=> x = 2.4 + 0.6 => x = 3
Step 2 :
we have ,
PR = 3x - 0.6 = 3(3) - 0.6 = 8.4
OR = x + 2.4 = 3 + 2.4 = 5.4
OP = x + 0.1 = 3 + 0.1 = 3.1
Step 3 :
Answer :
The 3 sides of the triangle are
PR = 8.4
OR = 5.4
OP = 3.1
