Answer:
Length = 26 feet, Width = 16 feet
Step-by-step explanation:
Let the length be l.
Width b = l-10
The area of a rectangular garden, A = 416 feet²
We need to find the dimensions of the garden. The area of a rectangular shaped object is given by :
Neglecting the negative value, the length of the garden is 26 feet and the width is 12-10 = 16 feet.
Answer:
The answer to the question is
If Boston is at D and C is 90 km away from Boston, then the two cars will meet at 30 km from Boston.
Step-by-step explanation:
Let the speed of the car that start from C = V₁
Let the speed of the car that start from D = V₂
Therefore where V₁ = 2·V₂
We have at time t when the cars meet the distance covered by the car that start from C will be V₁×t = 2·V₂×t, while the distance of the other car will be
V₂×t
Which means that the distance covered by the car that start from C is twice that of the car that start from D
Hence if Boston is located at D which is 90 km from C then both cars will meet at
90 km /3 = 30 km from Boston as the car originating from Boston would only have covered 30 km when the two cars meet.
Let us take 'a' in the place of 'y' so the equation becomes
(y+x) (ax+b)
Step-by-step explanation:
<u>Step 1:</u>
(a + x) (ax + b)
<u>Step 2: Proof</u>
Checking polynomial identity.
(ax+b )(x+a) = FOIL
(ax+b)(x+a)
ax^2+a^2x is the First Term in the FOIL
ax^2 + a^2x + bx + ab
(ax+b)(x+a)+bx+ab is the Second Term in the FOIL
Add both expressions together from First and Second Term
= ax^2 + a^2x + bx + ab
<u>Step 3: Proof
</u>
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
Identity is Found
.
Trying with numbers now
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)
((10)+8)(7) =(2*25)+(4*5)+(40)+(16)
(18)(7) =(50)+(20)+(56)
126 =126
If im correct the answer would be 4, hope i could help out.