Answer:
Dimension of room = 18 foot x 18 foot
Step-by-step explanation:
Let the square room is of side a foot,
The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot
Total cost is $1773.
Cost for re-finishing the hardwood floors = Area x 2.25
Area = a²
Cost for re-finishing the hardwood floors = 2.25 a²
Cost of purchasing and installing the new baseboards = Perimeter x 14.5
Perimeter = 4a
Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a
Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards
1773 = 2.25 a² + 58a
2.25 a² + 58a - 1773 = 0
a = 18 or a = -43.77(not possible)
Dimension of room = 18 foot x 18 foot
5 and 3. 5+3=8 but when you multiply them it is 5×3=15. ANSWER: 5 and 3
9514 1404 393
Answer:
Step-by-step explanation:
ΔBCD is isosceles, so ∠CDB = ∠CBD = x. The sum of angles in the triangle is 180°, so you have ...
x + x + 50° = 180°
2x = 130° . . . . . . . . . subtract 50°, collect terms
x = 65° . . . . . . . divide by 2
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Triangle ABC is also isosceles, so ∠BAC = ∠BCA = y. Angle ABC is the supplement of angle x. The sum of angles in ΔABC is 180°:
y + y + (180° -x) = 180°
2y - 65° = 0 . . . . . . . . . . subtract 180°, substitute the value of x
y -32.5° = 0 . . . . . . . divide by 2
y = 32.5° . . . . . . . . . . add 32.5°
Answer:
x= -8 x=2
Step-by-step explanation:
x^2 +6x-6= 10
Subtract 10 from each side
x^2 +6x-6-10= 10-10
x^2 +6x-16 = 0
What 2 number multiply to -16 and add to 6
8 * -2 = -16
8 -2 = 6
(x+8) (x-2)=0
Using the zero product property
x+8=0 x-2=0
x= -8 x=2
Answer:
No because they have different slopes
Step-by-step explanation:
(1 , 2) and (2, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4-2)/(2-1)
m = 2