To do this problem hand, you have to start by changing the mixed number into an improper fraction. A handy trick for that is to:
1) Multiply the denominator of the fraction part, 4, by the whole number, 4. So 4*4=16.
2) Add the number in the numerator to the value from step one. So 16+3=19.
3) Put the value from step two over the denominator to get your improper fraction! 19/4
Now you need to multiply to get a common denominator in both values in order to subtract. You have 19/4 - 1/3. This is when you could use a calculator if allowed haha, or multiply 19/4 by 3/3 and 1/3 by 4/4 to get 57/12 - 4/12. Subtract to get 53/12.
Now just do simple division and put the remainer over 12 and simplify the fraction if needed! 53/12 = 4R5. So 4 5/12 is the answer :)
Answer:
x = 1
x = -9
Step-by-step explanation:
(2x2 + 16x) - 18 = 0
2x2 + 16x - 18 = 2 • (x2 + 8x - 9)
x2 + 8x - 9
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
2 • (x + 9) • (x - 1) = 0
2 = 0
x+9 = 0
x = -9
x-1 = 0
x = 1
x2 + 8x - 9 = 0
x2+8x = 9
(x+4) • (x+4) =
(x+4)2
x2+8x+16 = 25 and
x2+8x+16 = (x+4)2
(x+4)2 = 25
x = -4 + √ 25
x2 + 8x - 9 = 0
has two solutions:
x = -4 + √ 25
or
x = -4 - √ 25
- B ± √ B2-4AC
x = ————————
2A
A = 1
B = 8
C = -9
B2 - 4AC =
64 - (-36) =
100
-8 ± √ 100
x = —————
2
x = ( -8 ± 10) / 2
x =(-8+√100)/2=-4+5= 1.000
or:
x =(-8-√100)/2=-4-5= -9.000
Answer: x = 1
x = -9
She travels 1800 meters because the bus ride is moot point and she walks home twice once for lunch and once to come home for night and once back to work, so three times 600 meters is 1800 meters
Answer:
To know what the ratio for the cos of theta, we actually have to see the adjacent and hypotenuse values. cos=adjacent/hypotenuse.
Step-by-step explanation:
Answer:
Equilateral Triangle
Side a = 1
Side b = 1
Side c = 1
Angle ∠A = 60° = 1.0472 rad = π/3
Angle ∠B = 60° = 1.0472 rad = π/3
Angle ∠C = 60° = 1.0472 rad = π/3
C=60°B=60°A=60°b=1a=1c=1
Area = 0.43301
Perimeter p = 3
Semiperimeter s = 1.5
Height ha = 0.86603
Height hb = 0.86603
Height hc = 0.86603
Median ma = 0.86603
Median mb = 0.86603
Median mc = 0.86603
Inradius r = 0.28868
Circumradius R = 0.57735
Vertex coordinates: A[0, 0] B[1, 0] C[0.5, 0.86603]
Centroid: [0.5, 0.28868]
Inscribed Circle Center: [0.5, 0.28868]
Circumscribed Circle Center: [0.5, 0.28868]
Step-by-step explanation:
