Answer:
Length, l = 11 ft.
Width, w = 9 ft.
Step-by-step explanation:
From the given data, the area of the rectangle = 99 ft².
Area of the rectangle = Length, l X Width, w
Here, Length, l = 7 more than twice the width
⇒ Length, l = 7 + 2w
Therefore, Area, A = 99 = (7 + 2w)w
⇒ 99 = 7w + 2w²
⇒ 2w² + 7w - 99 = 0
Solve the Quadratic equation using the formula: x =
for the quadratic equation ax² + bx + c = 0.
Therefore, w = 


Since,
we get:

This gives two values of 'w', viz., w =
, 

⇒ w =
, -9.
We take the integer values.
If w = -9, then l = 2(-9) + 7
⇒ l = - 18 + 7 = - 11
Therefore, the length, l of the rectangle = - 11 ft.
and the width, w of the rectangle = - 9 ft.
Hence, the answer.
1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.
To find the y-intercept, solve for "b".
b=-7/3
Our equation would then be y=2/3x-7/3
2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.
b=-11
So our perpendicular equation would be y=-3/2x-11
Hope that was helpful. :)
The current height of the bird is -16/3
The bird perched at a height of 15 feet
The bird dropped to a height of 61/3 feet when it saw a food
The current height can be calculated as follows
= 15 - 61/3
= 45-61/3
= -16/3
Hence the current height of the bird is -16/3
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A. 6-4=2 YES
12 + 12 = 14 NO
B. 5-3=2 YES
10+9 = 14 NO
C. 3-1 = 2 YES
6+3 = 14 NO
D. 4-2= 2 YES
8+6 = 14 YES
THE ANSWER IS D
Answer:
C x 20 + R x 20
Step-by-step explanation:
C x 20 + R x 20 or
20c + 20r