For this case we must find the solution of the following quadratic equation:
Where:
Then, the solution is given by:
Substituting the values:
By definition we have:
Thus, we have two complex roots.
Answer:
The equation has no real roots.
Area of a triangle = 1/2 × base × height
Plug in what we know.
78 = 1/2 × b × 9¾
Multilply each side by 2 to get rid of the 1/2...
156 = b × 9¾
Write 9¾ as an improper fraction.
(9¾ = 9 + 3/4 = (9×4)/4 + 3/4 = 36/4 + 3/4 = 39/4)
156 = b × 39/4
Multiply each side by 4...
624 = b × 39
Divide each side by 39...
16 = b
Done! The length of the base of the triangle is <u>16</u> inches.
Answer:
12+8x
Step-by-step explanation:
By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.
Use subsiution]
y=-3x+5
subsitute -3x+5 for y in second equation
5x-4(-3x+5)=-3
distribute
5x+12x-20=-3
add like terms
17x-20=-3
add 20 to both sides
17x=17
divide both sides by 17
x=1
now subsitute 1 for x
y=-3x+5
y=-3(1)+5
y=-3+5
y=2
x=1
y=2
Answer:
0.75
Step-by-step explanation:
