Step-by-step explanation:
Simplifying
(7a + 3b)(7a + -3b) = 0
Multiply (7a + 3b) * (7a + -3b)
(7a * (7a + -3b) + 3b * (7a + -3b)) = 0
((7a * 7a + -3b * 7a) + 3b * (7a + -3b)) = 0
Reorder the terms:
((-21ab + 49a2) + 3b * (7a + -3b)) = 0
((-21ab + 49a2) + 3b * (7a + -3b)) = 0
(-21ab + 49a2 + (7a * 3b + -3b * 3b)) = 0
(-21ab + 49a2 + (21ab + -9b2)) = 0
Reorder the terms:
(-21ab + 21ab + 49a2 + -9b2) = 0
Combine like terms: -21ab + 21ab = 0
(0 + 49a2 + -9b2) = 0
(49a2 + -9b2) = 0
Solving
49a2 + -9b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '9b2' to each side of the equation.
49a2 + -9b2 + 9b2 = 0 + 9b2
Combine like terms: -9b2 + 9b2 = 0
49a2 + 0 = 0 + 9b2
49a2 = 0 + 9b2
Remove the zero:
49a2 = 9b2
Divide each side by '49'.
a2 = 0.1836734694b2
Simplifying
a2 = 0.1836734694b2
take the square root of each side:
a = {-0.428571429b, 0.428571429b}
In this right triangle<span>, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest </span>side<span> of the </span>triangle<span>. </span>To find<span> the </span>length<span> of leg a, substitute the known values into the Pythagorean Theorem. Solve for a</span>2<span>.</span>
Answer:
13:30
Step-by-step explanation:
120 minutes is 2 hr so 11:30 +2:00= 13:30
Answer:
(a) You will get ten
Step-by-step explanation:
single cell = 3 min
30 min = ?
30 divided by 10 = 3
Have a good day!
Answer:
1.38 to the nearest hundredth.
Step-by-step explanation:
Dividing:
x + 1 ) 3x - 1 ( 3
3x + 3
-4
so (3x - 1) / (x + 1) = 3 - 4 / x+ 1
Integral of (3 - 4 / x+1 ) = 3x - 4 ln(x + 1)
Between limits of 1 and 2 we have:
(3(2) - 4 ln 3) - (3 - 4 ln2)
= 1.6056 - 0.2274
= 1.3782.
