Answer:
Step-by-step explanation:
2x + 3y = 4
When y = 34
2x + 3(34) = 4
2x + 102 = 4
2x = 4 - 102
2x = - 98
x = -98/2
x = - 49
Simplify the following:
(3 + 1/3)/(2 + 2/5)
Put 2 + 2/5 over the common denominator 5. 2 + 2/5 = (5×2)/5 + 2/5:
(3 + 1/3)/((5×2)/5 + 2/5)
5×2 = 10:
(3 + 1/3)/(10/5 + 2/5)
10/5 + 2/5 = (10 + 2)/5:
(3 + 1/3)/((10 + 2)/5)
10 + 2 = 12:
(3 + 1/3)/(12/5)
Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:
((3×3)/3 + 1/3)/(12/5)
3×3 = 9:
(9/3 + 1/3)/(12/5)
9/3 + 1/3 = (9 + 1)/3:
((9 + 1)/3)/(12/5)
9 + 1 = 10:
(10/3)/(12/5)
Multiply the numerator by the reciprocal of the denominator, (10/3)/(12/5) = 10/3×5/12:
(10×5)/(3×12)
The gcd of 10 and 12 is 2, so (10×5)/(3×12) = ((2×5) 5)/(3 (2×6)) = 2/2×(5×5)/(3×6) = (5×5)/(3×6):
(5×5)/(3×6)
3×6 = 18:
(5×5)/18
5×5 = 25:
Answer: 25/18
Answer:
Add 22/63
Step-by-step explanation:
3/7 + n = 7/9
<u>Step 1: Subtract 3/7 from both sides</u>
3/7 + n - 3/7 = 7/9 - 3/7
n = 49/63 - 27/63
n = 22/63
Answer: Add 22/63
Answer:
To find the answer consider that this is a right triangle and we can use the tangent function in order to find the value of x
remember the acronym soh cah toa.
to use the tangent function we divide the opposite and adjacent side that is what the oa stands for in toa
setting it up looks like this
tan 72° = 
solving for x gives us x= 8×tan 72°
which is about 24.62
Step-by-step explanation:
Answer:
( 9w - 2z)^2
Step-by-step explanation:
81w^2 - 36wz + 4z^2
Rewriting as
(9w)^2 - 2 * 9 w 2z + (2z)^2
We recognize that this is a perfect square binomial
a^2 -2ab + b^2 is a perfect square binomial because it factors to (a - b)^2
let a = 9w b = 2z
81w^2 - 36wz + 4z^2 = ( 9w - 2z)^2
