Answer:
B. A and D
Step-by-step explanation:
In each of the tables, the x-values differ by 1. So, a linear relation will have the y-values differ by a constant amount. We observe the differences to be ...
A: 3, 3, 3 . . . . a constant, so this function is linear
B: 1, 3, 5 . . . . not a constant; non-linear
C: 1, -6, 13 . . . not a constant; non-linear
D; 0, 0, 0 . . . a constant, so this function is linear
Tables A and D represent linear functions.
answer = 5
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
All the angles inside a quadrilateral add to 360 degrees.
But first, we should solve for x
Opposite angles add up to 180 degrees.
So we'll use angles B and D
x + 10 + x + 24 = 180
combine like terms
2x + 34 = 180
subtract 34 from both sides
2x = 146
divide both sides by 2
x = 73
Now let's solve for the angles
Angle D: x + 24 = 97
Angle B: x + 10 = 83
Angle A: x + 15 = 88
Opposite angles add up to 180
we know that angle A is 88
C + 88 = 180
subtract 88 from both sides
C = 92
Hope this helps!
Answer:
y = - 
Step-by-step explanation:
= 
( cross- multiply )
4y = - 7 ( divide both sides by 4 )
y = -
Answer:
Step-by-step explanation:
whats is the image of (12,-9 after dilation by a scale 1/3 centered at the origin?
