A rectangle is a quadrilateral and its area is expressed as the product of its length and width. From the given, we have:
Length = x + 2
Width = 2x - 5
Area = 54 cm^2
Area = Length x Width
Substituting the values,
Area = (x + 2) ( 2x-5) = 54
54 = 2x^2 - x - 10
2x^2 - x - 64 = 0
We can see that the equation above is a polynomial with a degree of 2 therefore we can usethe Quadratic Formula to solve for x. The quadratic formula will solve two values of x.
x1 = (-b + (√b^2 - (4ac))/ 2a = 5.91
x2 = <span>(-b - (√b^2 - (4ac))/ 2a = -5.41
Since, for this case, the value x should not result to a negative value for both dimensions thus x is equal to 5.91.</span>
Hello!
We can make an equation based on what we know
The product of 9 and a number is
9 * x
Added to six
9 * x + 6
Gives the result of 24
9 * x + 6 = 24
Now you solve it algebraically
Subtract 6 from both sides
9 * x = 18
Divide both sides by 9
x = 2
The answer is 2
Hope this helps!
Answer:
14C + 70B
Step-by-step explanation:
Let us represent:
The number of cans = C
The number of bottles = B
Her truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. There is a combined total of 880 cans and bottles in her truck.
The expression for the combined total weight (in ounces) of the cans and bottles in her truck is given as
Total weight in out = 14 × C + 70 × B
= 14C + 70B
When:
C + B = 880
X is 90°
A triangles angles add up to 180° so
180 - 47 - 90 = y
180 - 137 = y
y = 43°
You just put the largest numbers first and that is the largest number she can make.
So your answer would be 886,431
Hope I Helped!!! :-)
