Answer:
x=1 and x=-1/3
Step-by-step explanation:
By the zero product property, we have two separate equations, x-1=0 and 3x+1=0
x-1=0
x=1
3x+1=0
3x=-1
x=-1/3
So x=1 and x=-1/3
Hope this helped!
Answer:
14. 58 degrees
16. 11 degrees
Step-by-step explanation:
14. The sum of all 3 interior angles of a triangle is 180. We know right angles are 90 degrees. So 180 - 90 - 32 = 58 degrees
16. When two parallel lines are cut by a transversal, the corresponding angles have the same measure. So the angle above angle a has the same measure as the 169 degree angle in the same position on the other line. I hope those words make sense. Then angle a and the angle above it (which we know = 169 degrees) combine to make a straight line/straight angle, which = 180 degrees. 180- 169 = 11
Please let me know if you have questions.
Answer:
6000 meters
Step-by-step explanation:
Each kilometer is 1000 meters so 1000 x 6 is 6000
Answer:A
Step-by-step explanation:
The initial dimenssions of the park lot are:
length: 140 ft
width: 90 ft
initial area: 140 * 90 = 12,600 ft^2
Area increased 29% = 12,600 * 1.29 = 16,254 ft^2
width of the strips: x
New length: 140 + x
New width: 90 + x
New area: (140+x)(90+x) = 16,254
Solution of the equation:
12600 + 230x + x^2 = 16254
=> x^2 + 230x - 3654 = 0
Use the quadratic formula.
x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =
x = 14.92
The other solution is negative so it is discarded.
Answer: 15 ft
