Answer:
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
The answer is B...
On the first day he spends 30 minutes training.. after that he is spending 10 minutes extra.. so on day two he would spend 40 minutes.. then day three.. 50 minutes.. day four.. 60 minutes and so on... The answer would be <em><u>B</u></em> though.
7.8 x 10 to the power of 10
Hope it helps!
Part A:
The scale factor is 1/4, because you obtain the coordinates of points P', Q', R' by dividing the coordinates of P, Q and R respectively by 4.
Part B:
Reflecting about the y axis causes a sign swap in the x coordinate. So, the new point will be
Part C:
The triangles are similar, but not congruent. When you transform PQR into P'Q'R', you get a scaled version of the original triangle. This means that the angles and the proportion between sizes will be the same, but the length are scaled by 1/4, and the area is consequentially scaled by 1/16.
Triangles P'Q'R' and P''Q''R'' are congruent, so they are both similar but not congruent to the original triangle.
Answer:
(3b + c)(a - 2b)
Step-by-step explanation:
Given
3ab - 6b² - 2bc + ac ← Rearranging
= 3ab + ac - 6b² - 2bc (factor the first/second and third/fourth terms )
= a(3b + c) - 2b(3b + c) ← factor out (3b + c) from each term
= (3b + c)(a - 2b)
