Hello,
Yes since (2*6.4)²+9.6²=256=16²
Angle A=90°
The problem to number 1 is a inequality, so
x-2<-7
x<-5
since it is < it will have open dot.
Answer: C
2. x/3>-3
x>-9
Answer: D
3. 5p+26<72
5p<46
p<9.2
Answer: C
4. -3w+3>=18
-3w>=15
x<=-5
5. 15x-21>= 12x+18
x>=13
Answer A
6: |3x|=15
Absolute values positive so {-5,5}
Answer: B
7: |2x-3|=5
x=4,-1
Answer: C
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.