The length of segment BC can be determined using the distance formula, wherein, d = sqrt[(X_2 - X_1)^2 + (Y_2 - Y_1)^2]. The variable d represent the distance between the two points while X_1, Y_1 and X_2, Y_2 represent points 1 and 2, respectively. Plugging in the coordinates of the points B(-3,-2) and C(0,2) into the equation, we get the length of segment BC equal to 5.
Answer:
A. 57 7/9
Step-by-step explanation:
4 1/3 x 3 1/3 = 14 4/9
14 4/9 x 4 = 57 7/9
Answer:
5/4
Step-by-step explanation:
If the equation is
![y = \dfrac{5}{4}x - \dfrac{7}{4}](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cdfrac%7B5%7D%7B4%7Dx%20-%20%5Cdfrac%7B7%7D%7B4%7D%20)
then the slope is the number multiplying x, so
slope = 5/4.
Complete the square to rewrite the quadratic:
2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8
... = 2 (<em>x</em> + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.
Answer:
The value of f(30) is equal to 2.
Step-by-step explanation:
The given expression is :
![f(x)= 10 \sin(x) - 3](https://tex.z-dn.net/?f=f%28x%29%3D%2010%20%5Csin%28x%29%20-%203)
We need to find the value of f(30)
Put x = 30 in above expression.
So,
![f(x)= 10 \sin(30) - 3\\\\=10\times \dfrac{1}{2}-3\\\\=5-3\\\\=2](https://tex.z-dn.net/?f=f%28x%29%3D%2010%20%5Csin%2830%29%20-%203%5C%5C%5C%5C%3D10%5Ctimes%20%5Cdfrac%7B1%7D%7B2%7D-3%5C%5C%5C%5C%3D5-3%5C%5C%5C%5C%3D2)
Hence, the value of f(30) is equal to 2.