Answer:
M=2/3
m=1/2
Step-by-step explanation:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]
Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.
The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.
Answer:
y = (x - 3)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term )² to x² - 6x
Given
y = x² - 6x + 6
= x² + 2(- 3)x + 9 - 9 + 6
= (x - 3)² - 3 ← in vertex form
X<span>(6 + </span>x)(x<span> + -4) = 24x ... + 2x</span>2<span> + </span>x3<span> = 0 </span>Factor out<span> the Greatest Common Factor (GCF), '</span>x<span>'. </span>x<span>(-48 + 2x + </span>x2<span>) = 0 ... Set the factor '(-8 + -1x)' equal to zero and attempt to </span>solve<span>: Simplifying -8 + -1x = 0 ... box </span>will<span> make the calculator automatically</span>solve<span> for the first variable it sees.</span>
Nearest ten=130
nearest one=129
nearest tenth= 129.4
nearest hundredth= 129.39
Answer:
3
Step-by-step explanation:
5x-2y=3 when: y=2x
1. Plug in the y-value (y=2x) into the equation (5x-2y=3). The equation should then look like 5x-2(2x)=3
2. Simplify:
5x-2(2x)=3
5x-4x=3
1x=3
x=3
Check:
5x-2(2x)=3 (plug in the x-value you solved for: 3)
5(3)-2×2(3)=3
15-2×6=3
15-12=3
3=3
Hope this helped !
Cheers, Z
