x=-3
i think that the homework give a number to substitute the X
Answer: slope= 1
Step By Step: Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:
A line is increasing, and goes upwards from left to right when m > 0
A line is decreasing, and goes downwards from left to right when m < 0
A line has a constant slope, and is horizontal when m = 0
A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m =
y2 - y1
x2 - x1
Answer:
There are 5 different sized paving stones that can have a volume of 360 in³.
Step-by-step explanation:
Volume = Area x height.
We are given;
volume; V = 360 in³
Height; h = 3 in
Thus, 360 = A x 3
A = 360/3 = 120 in²
This is the area of the base, so we need to find the number of different stones which have a base area of 120 in².
Let's list all the factors of 120 which are;
1,2,3,4,5,6,10,12,20,24,30,40,60,120
The question says we shouldn't use 1 or 2 in inches as length and width.
Leaving us with the remaining listed factors.
So the pair of factors that give and area of 120 are;
Size;
3 x 40
4 x 30
5 x 24
6 x 20
10 x 12
Thus, there are 5 different sized paving stones that can have a volume of 360.
Answer:
18
Step-by-step explanation:
When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.
2*9 = 18
Answer:
B = 20.7°
C = 126.3°
c = 29.6
Step-by-step explanation:
See attached photo for steps...