Answer: 27cm²
Step-by-step explanation:
lets take the width as x and length as 3x( since length is 3 times the width)…
Perimeter of the rectangle is 24 cm( 2*(l+b))= 2×(3x+x):24
2×4x=24
8x=24
X( width): 24/8=3cm
Length= 3x: 3*3=9cm
Area of the rectangle: ( l*w)= 9×3: 27cm²
Answer:
(x1, y1) = (1, 3)
(x2, y2) = (4, 12)
Step-by-step explanation:
y= x^2 - 4
y= 5x - 8
(substitute the value for y)
x^2 - 4 = 5x - 8
(solve the equation)
x = 1
x = 4
(substitute the values)
y = 5 × 1 - 8
y = 5 × 4 - 8
(solve the equations)
y = -3
y = 12
( the possible solutions are)
x1, y1 = 1, -3
x2, y2 = 4, 12
(check the solutions)
-3 = 1^2 - 4
-3 = 5 × 1 - 8
12 = 4^2 - 4
12 = 5 × 4 - 8
(simplify)
-3 = -3
-3 = -3
12 = 12
12 = 12
(the ordered pairs are the solutions)
Answer: the cube root of 512 is 8.
Step-by-step explanation:
First divide 512 and take the least factors as I have shown,
512= 2×2×2×2×2×2×2×2×2
Now, make the triple twins of these factors,
(2×2×2)(2×2×2)(2×2×2)
Now, take one number from each pair and multiply them,
2×2×2=8
Therefore, the answer of the cube root of 512 is 8.
Answer:
No
There are infinitely many solutions to the system.
{36x+21y=24312x+7y=81
Multiply the second equation by 3.
3(12x+7y36x+21y=81)=243
Subtract this new equation from the first equation.
36x+21y−(36x+21y0+0=243=243)=0 true
Answer:
1250
Step-by-step explanation:
that's what I got please let me know if I'm correct
