Answer:
m = 1
Step-by-step explanation:
slope = (y₂-y₁)/(x₂-x₁)
m = (4 - -1) / 1 - -4) = 5/5 = 1
Answer:
Step-by-step explanation:
1) Reagrupar términos.
3(5x + 1) = 15x^3
2) Divide ambos lados por tres.
5x + 1 = 5x^3
3) Mueva todos los términos a un lado.
5x + 1 - 5x^3 = 0
4) No se encontró ninguna raíz algebraicamente. Sin embargo, las siguientes raíces se encontraron por métodos numéricos.
x=−0.878886,−0.209148,1.088033
If M <span>is the midpoint of AB then AB = 2AM
8x - 6 = 2(3x + 3)
8x - 6 = 6x + 6
8x - 6x = 6 + 6
2x = 12
x = 12/2
x = 6
AM = 3x + 3 = 3*6 + 3 = 18 + 3 = 21 units
</span>
Answer:
<u>56.5 ft</u>
Step-by-step explanation:
See the attached figure which represents the explanation of the problem.
We need to find the length of the tree to which is the length of AD
From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft
At ΔABD:
∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°
∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°
Apply the sine rule at ΔABD
∴
∴ 18/sin 18 = AD/sin 76
∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)
So, The length of the tree = 56.5 ft.
<u>The answer is 56.5 ft</u>
The square root of 144= 12. 12 is an integer, integers are always rational since they can be written into a fraction.