(a) The sum of length and width is half the perimeter, so the breadth in terms of length (x) in cm will be
.. breadth = 34 -x
(b) Then the expression for the area (in cm^2) is
.. area = length*breadth
.. 253 = (x)(34 -x)
.. x^2 -34x +253 = 0 . . . . . subtract the right side, eliminate parentheses
.. (x -11)(x -23) = 0 . . . . . . . factor
.. x = 11 or 23
The dimensions of the rectangle are 11 cm by 23 cm.
Answer:
<h2>
the first ordered pair is (-2, -2)</h2><h2>
the second ordered pair is (4,0)</h2>
Step-by-step explanation:
to find the missing values, plug in the given values into the equation:
x-3y=4
the first ordered pair:
we are given a y-value (-2), so lets plug it into the equation:
x-3*(-2)=4
now solve for the missing value:
x+6=4
x=4-6
x=-2
now plug in both x and y and check if the equation is true:
(-2)-3*(-2)=4
-2+6=4
6-2=4
4=4
the first ordered pair is (-2, -2)
the second ordered pair:
we are given a x-value (4), so lets plug it into the equation:
(4)-3y=4
now solve for the missing value:
-3y=4-4
-3y=0
y=0/-3
y=0
now plug in both x and y and check if the equation is true:
(4)-3*(0)=4
4-0=4
4=4
the second ordered pair is (4,0)
Answer:
4.5 cups of sugar
Explanation:
set up the problem like servings/cups. it would look like 8/2. then add the 18 servings and make it 8/2=18/x so you can cross multiply. cross multiply and you get 8x=36. divide it by 8 and you get x=4.5 cups. hope this helps!
9 is D
10 is either a or b
1, 2, 3, 5, 6, 10, 15, 30
