Collinear points are the set of points that lies on the same straight line. In the term collinear, co refers to togetherness and linear refers to line. So collinear refers to the points that hang on the same line together. The point that does not lie on the same line is called as non-collinear points.
Check all options:
A. Points R, D, and E do not lie on the same straight line, they are non-collinear points.
B. Points F, W, and R lie on the same straight line, they are collinear points.
C. Points Q, E, and T lie on the same straight line, they are collinear points.
D. Points W, E, and T do not lie on the same straight line, they are non-collinear points.
Answer: correct choice is B and C.
y - -10 = - (x - 3)
y + 10 = -x + 3
y = -x - 3
When put in point slope form, the equation is written as y minus negative 10 equals x minus 3 times -1 (y - - 10 = - (x - 3). The y minus negative 10 changes to y plus 10 (y + 10) and you distribute the right side by multiplying by negative one (-1 or simply just "-"). Then you subtract 10 from both sides, leaving us with the answer y = -x - 3.
Hope that made sense and helped.
Answer:
6 miles
Step-by-step explanation:
miles : minutes
1 : 10
x : 60
60/10=6
x must equal 6
Answer:
d.
Step-by-step explanation:
To convert a root to a fraction in the exponent, remember this rule:
![\sqrt[n]{a^{m}}=a^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%7D%3Da%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)
The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.
In this question, the index is 4.
The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.
![\sqrt[4]{16x^{15}y^{17}} = (\sqrt[4]{16})(\sqrt[4]{x^{15}})(\sqrt[4]{y^{17}}) = (2)(x^{\frac{15}{4}}})(y^{\frac{17}{4}}) = 2x^{\frac{15}{4}}}y^{\frac{17}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16x%5E%7B15%7Dy%5E%7B17%7D%7D%20%3D%20%28%5Csqrt%5B4%5D%7B16%7D%29%28%5Csqrt%5B4%5D%7Bx%5E%7B15%7D%7D%29%28%5Csqrt%5B4%5D%7By%5E%7B17%7D%7D%29%20%3D%20%282%29%28x%5E%7B%5Cfrac%7B15%7D%7B4%7D%7D%7D%29%28y%5E%7B%5Cfrac%7B17%7D%7B4%7D%7D%29%20%3D%202x%5E%7B%5Cfrac%7B15%7D%7B4%7D%7D%7Dy%5E%7B%5Cfrac%7B17%7D%7B4%7D%7D)
To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, ![\sqrt[4]{16}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D)
= 2.
For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.
