Answer:
14 yards
Step-by-step explanation:
the area of a triangle is 0.5×b×h
so
plug in what you have
0.5×b×3=21
(3x0.5)b=21
1.5b=21
b=21/1.5
b=14
2,4,44 because the gathing numbers are equal to represent
Answer:
see explanation
Step-by-step explanation:
(a)
x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides
0 = x² - 2x - 3 ← in standard form
0 = (x - 3)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
-----------------------------------
(b)
-
=
( multiply through by 15 to clear the fractions )
5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides
5x + 10 - 2 = 3x - 6
5x + 8 = 3x - 6 ( subtract 3x from both sides )
2x + 8 = - 6 ( subtract 8 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
--------------------------------------------
(c) Assuming lg means log then using the rules of logarithms
log
⇔ nlogx
log x = log y ⇒ x = y
Given
log(2x + 3) = 2logx
log(2x + 3) = log x² , so
x² = 2x + 3 ( subtract 2x + 3 from both sides )
x² - 2x - 3 = 0
(x - 3)(x + 1) = 0
x = 3 , x = - 1
x > 0 then x = 3
Multiply 12 by 4%, or 4/100, and 4/100 simplifies to 1/25. 12/1 x 1/25 = (12 x 1)/(1 x 25) = 12/25, which equals 0.48. So, the smallest frog is 0.48 inches long, but can be rounded to 0.5 inches long.