10+8+6=24
π x 12/2
6 π
24+6 π= 42.84955592
Answer= 42.849cm
Factoring a trinomial is a tedious process, sometimes involving a trial-and-error process. The best approach would be to try out all the choices, replace them with x, and see if it satisfies the equation to be equal to zero. Since no choice are given, we use another technique: by using the scientific calculator under mode EQN (equation).
Once you're in mode EQN, choose the trinomial (ax^3 + bx^2 +cx +d =0).Then, all you have to do is substitute the coefficients (a=3, b = 8, c = -87, d = 28). Press equals, then the three roots would appear.
The roots, and therefore factors, are -7, 4 and 1/3. Any of those are factors of the given equation.
Answer:
15
Step-by-step explanation:
graph shows
postcards=15
shirts=10
pencils= 40
we're going to add postcards and shirts THEN comparing it to pencils
postcards and shirts=15+10= 25
pencils= 40
answer=40-25=15
Answer:
C. 2.8 miles per minute
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
... Tan = Opposite/Adjacent
In the relevant triangle, the side opposite the angle at the observer is the altitude of the airplane, 2 miles. The side adjacent is the horizontal distance to the airplane. At the first observation, that distance (d1) is ...
... tan(40°) = (2 mi)/d1
At the second observation, the horizontal distance to the airplane (d2) is ...
... tan(50°) = (2 mi)/d2
Solving for d1 and d2 and finding the difference (∆d), we have ...
... d1 = (2 mi)/tan(40°)
... d2 = (2 mi)/tan(50°)
... ∆d = d1 -d2 = (2 mi)(1/tan(40°) -1/tan(50°) ≈ 2·(1.1918 -0.8391) mi
... ∆d ≈ 2°0.3526 mi ≈ 0.7053 mi
This distance was flown by the plane in 15 seconds, so it will travel 4 times this distance in 60 seconds (1 minute).
... ∆d/∆t = (0.7053 mi)/(1/4 min) = 4·0.7053 mi/min ≈ 2.8 mi/min
Answer:
Look for a pair of factors of
24
whose difference is
5 . 24
= 8 × 3 and 5 = 8 − 3 So x 2 + 5 x − 24 = x 2 + ( 8 − 3
) x −
(
8
×
3
) = (
x + 8
) (
x − 3
)
So the solutions of x 2 + 5
x −
24
=
0 are x = −
8 and x = 3
Step-by-step explanation:
