What are the factors for the expression 6x^2+x-12?
1 answer:
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Answer:
7.8 in
Step-by-step explanation:
Given:-
- The dimension of rectangular prism:
(3 x 4 x 6) inches
Find:-
What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?
Solution:-
- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).
- Then we will use the distance between two points formula in cartesian coordinate system:
Distance =
Where the coordinates of two points ( x1 , y1 , z1 ) & ( x2 , y2 , z2 ).
- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:
- The distance |RS| to nearest 10th of an inch is = 7.8 in
Answer:
The equation that matches the table is y = -5x + 7 ⇒ C
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The rule of the slope is m = , where
- (x1, y1) and (x2, y2) are two points on the line
From the given table
→ Choose any two points from the table
∵ Points (0, 7) and (1, 2) are in the table
∴ x1 = 0 and y1 = 7
∴ x2 = 1 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m =
∴ m = -5
→ Substitute it in the form of the equation above
∵ y = -5x + b
∵ b is the value of y at x = 0
∵ At x = 0, y = 7
∴ b = 7
∴ y = -5x + 7
∴ The equation that matches the table is y = -5x + 7