Answer:
x = √30 or -√30
Step-by-step explanation:
480 - 16x^2 = 0
divide both sides by 16
30 - x^2 = 0
-x^2 + 30 = 0
-x^2 = -30
X^2 = 30
x = ± √30
x = √30 or -√30
Answer:
<h2>107 and 73</h2><h2 />
Step-by-step explanation:
supplementary angle
7x + 9 + 5x + 3 = 180
12x = 180 - 3 - 9
x = 168 / 12
x = 14
plugin x=14 into the equation
= 7x + 9
= 7(14) + 9
= 107°
plugin x=14 into the equation
= 5x + 3
= 5(14) + 3
= 73°
Answer:
so one side right?
Step-by-step explanation:
Answer:
First one: x = all real numbers
Second one: x = 0
Step-by-step explanation:
for the first one
given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations
step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )
2 * 4x = 8x
5 * 2 = 10
now we have 8x + 10 = 8x + 10
step 2 subtract 8x from each side
8x - 8x = 0
8x - 8x = 0
now we have 10 = 10
subtract 10 from each side
10 - 10 = 0
10 - 10 = 0
we're left with 0 = 0 meaning that all real numbers are solutions
For the second one
given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations
step 1 distribute the 2 to what is in the parenthesis (x - 4)
2 *x = 2x
2 * -4 = -8
now we have 3x - 8 = 2x - 8
step 2 add 8 to each side
-8 + 8 = 0
-8 + 8 = 0
now we have 2x = 3x
step 3 subtract 2x from each side
3x - 2x = x
2x - 2x = 0
we're left with x = 0
13. There are 3 feet in a yard. You divide 34 by 3 and get 11 with one left over. So it should be 11 yards and 1 foot.
14. 16 oz. = 1 lb. If you multiply 16 (oz) x 8 (lbs.) you get 128 ounces.
