9x^2 - 42x + 49 is a perfect square trinomial. It factors to (3x - 7)^2
If the area is 64m^2 set this equal to the factors and solve.
(3x - 7)^2 = 64
Take the square root of both sides.
3x - 7 = + - 8
3x - 7 = 8 3x - 7 = - 8
Add 7 to both sides.
3x = 15 3x = - 1
Divide both sides by 3.
x = 5 x = -1/3
x cannot be -1/3 because it would make the length negative.
The answer is x= 5
Answer: 3 Y=3
Step-by-step explanation:
Y×3=9
3×3=9
You can also check this by rearranging it and dividing 9 by 3.
9÷3=3.
This works for any similar problem.
Example:
Y×4=12 Y=? Y=3
Rearrange it and divide 12 by 4.
12÷4=Y
12÷4=3
So Y×4=12 because 3×4=12
Hope this helps!
Answer:
5 < x < 7
Step-by-step explanation:
- Move all terms not containing x from the center section of the inequality.
25 < 5
x < 35
- Divide each term in the inequality by 5
.
5 < 1x < 7
5 < x < 7
i hope this helps :)
The mass of b equals the mass of d so
24(10-x)=6(x+15)
240-24x=6x+90
30x=150
x=5
mass of d is 6(5+15)=6*20=120
mass of c=180-mas of d=180-120=60°
Answer:
volume of the solid = 
Step-by-step explanation:
As given , the region : |x| + |y| 
1
when y 
0 ,
|x| + y = 1
⇒|x| = 1 - y
when y ≤ 0 ,
|x| - y = 1
⇒|x| = 1 + y
The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)
As given , the vertical cross section are semicircle
As we know that the area of semi circle = 
Now,
Volume = 
+ 
= 
- 
= 
[1-0] - [0-1]
= 
⇒volume of the solid =
