2(4x-6)=6x-4
2(4x)-2(6)=6x-4
8x-12=6x-4
8x-6x=-4+12
2x=8
2x/2=8/2
x=4
check...2(4*4-6)=6*4-4
2(10)=24-4
20=20 ✓
Answer:
101.956 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated using the formula
A = bh ( b is the base and h the perpendicular height )
here b = 14.2 and h = 7.18, hence
A = 14.2 × 7.18 = 101.956 cm²
Answer:
x = 3 is extraneous
Step-by-step explanation:
Given
= x - 5 ( square both sides to clear the radical )
4x - 8 = (x - 5)² ← expand using FOIL
4x - 8 = x² - 10x + 25 ( subtract 4x - 8 from both sides )
0 = x² - 14x + 33 ← in standard form
0 = (x - 11)(x - 3) ← in factored form
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
x - 3 = 0 ⇒ x = 3
As a check
Substitute these values into the equation and if both sides are equal then they are solutions
x = 11
left side = 
= 
= 6
right side = 11 - 5 = 6
Thus x = 11 is a solution
x = 3
left side = 
= 
= 2
right side = 3 - 5 = - 2 ≠ 2
Thus x = 3 is an extraneous solution
Answer:
450
Step-by-step explanation:
We know that Cole did jump rope for 7 1/2 minutes.
In one minute there are 60 seconds. So we know that for each minute there is a 60 in it.
So, 7 x 60 = 420 then a half minute is thirty seconds (we know this because half of sixty is thirty.)
So we simply add 30 to 420 getting 450.
Answer:
y= -3+x
Step-by-step explanation:
hope this helps :)
