Answer:
(-2, 1)
Step-by-step explanation:
You have written the function with no parentheses, so the minus sign is applied after the square:
f(-2) = -(-2)^2 +5 = -4 +5 = 1
The point is (-2, 1).
Answer:
x>-1.25
Step-by-step explanation:
0.2x+4-3>-7-6.2x
0.2x+1>-7-6.2x
0.2x+6.2x>-7-1
6.4x>-8
x>-1.25
or x>-5/4,x>-1 1/4, xE(-1.25, infinite)
The given equation of line is
![y+4=\frac{2}{5}(x-3)](https://tex.z-dn.net/?f=y%2B4%3D%5Cfrac%7B2%7D%7B5%7D%28x-3%29)
Finding the x and y intercepts
For x intercept
When y = 0
This gives
![\begin{gathered} 0+4=\frac{2}{5}(x-3) \\ 4=\frac{2}{5}(x-3) \\ 20=2x-6 \\ 20+6=2x_{} \\ 26=2x \\ x=\frac{26}{2} \\ x=13 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%200%2B4%3D%5Cfrac%7B2%7D%7B5%7D%28x-3%29%20%5C%5C%204%3D%5Cfrac%7B2%7D%7B5%7D%28x-3%29%20%5C%5C%2020%3D2x-6%20%5C%5C%2020%2B6%3D2x_%7B%7D%20%5C%5C%2026%3D2x%20%5C%5C%20x%3D%5Cfrac%7B26%7D%7B2%7D%20%5C%5C%20x%3D13%20%5Cend%7Bgathered%7D)
Hence, x intercept is (13, 0)
For y intercept
When x = 0
This gives
![\begin{gathered} y+4=\frac{2}{5}(0-3) \\ y+4=\frac{2}{5}(-3) \\ y=\frac{-6}{5}-4 \\ y=\frac{-6-20}{5} \\ y=-\frac{26}{5} \\ y=-5.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%2B4%3D%5Cfrac%7B2%7D%7B5%7D%280-3%29%20%5C%5C%20y%2B4%3D%5Cfrac%7B2%7D%7B5%7D%28-3%29%20%5C%5C%20y%3D%5Cfrac%7B-6%7D%7B5%7D-4%20%5C%5C%20y%3D%5Cfrac%7B-6-20%7D%7B5%7D%20%5C%5C%20y%3D-%5Cfrac%7B26%7D%7B5%7D%20%5C%5C%20y%3D-5.2%20%5Cend%7Bgathered%7D)
Hence, y intercept is (0, - 5.2)
Using an online graphing calculator, the graph is as shown below
Answer:
5.196 m
Step-by-step explanation:
p = La perpendicular del triángulo es la longitud de la antena.
h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m
= Incline el cable con el suelo = ![60^{\circ}](https://tex.z-dn.net/?f=60%5E%7B%5Ccirc%7D)
De las funciones trigonométricas sabemos que
![\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}](https://tex.z-dn.net/?f=%5Csin%5Ctheta%3D%5Cdfrac%7Bp%7D%7Bh%7D%5C%5C%5CRightarrow%20p%3Dh%5Csin%5Ctheta%5C%5C%5CRightarrow%20p%3D6%5Ctimes%20%5Csin60%5E%7B%5Ccirc%7D%5C%5C%5CRightarrow%20p%3D6%5Ctimes%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5C%5C%5CRightarrow%20p%3D3%5Csqrt%7B3%7D%5C%5C%5CRightarrow%20p%3D3%5Ctimes%201.732%3D5.196%5C%20%5Ctext%7Bm%7D)
La longitud de la antena es 5.196 m.
Answer:
I would say a becuase you have a better chance to get heads then a five on a number cube
Step-by-step explanation: