<span>y = slope*x + y-intercept;
</span>We can rewrite our equation in a shorter form : y = mx + b;
y = x + 2 ; m1 = 2 and b1 = 2;
y = -x + 6; m2 = -1 and b2 = 6;
<span>Set the two equations for y equal to each other:
</span>x + 2 = -x + 6 ;
<span>Solve for x. This will be the x-coordinate for the point of intersection:
</span>2x = 4;
x = 2;
<span>Use this x-coordinate and plug it into either of the original equations for the lines and solve for y. This will be the y-coordinate of the point of intersection:
</span>y = 2 + 2 ;
y = 4;
<span>The point of intersection for these two lines is (2 , 4).</span>
We can say that because 3 times 9, which would equal 27, could be the same as 4*9, which would be 36. So Pat needs 36 pints of green paint. Down below is a tape diagram so you can see what it is.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.
![(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}](https://tex.z-dn.net/?f=%28%5Cstackrel%7Bx_1%7D%7B2%7D~%2C~%5Cstackrel%7By_1%7D%7B4%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B6%7D~%2C~%5Cstackrel%7By_2%7D%7B6%7D%29%20~%5Chfill%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%20%7B%5Cstackrel%7By_2%7D%7B6%7D-%5Cstackrel%7By1%7D%7B4%7D%7D%7D%7B%5Cunderset%7Brun%7D%20%7B%5Cunderset%7Bx_2%7D%7B6%7D-%5Cunderset%7Bx_1%7D%7B2%7D%7D%7D%5Cimplies%20%5Ccfrac%7B2%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B2%7D)
Answer:
Nopes 3²+4²≠12²
Step-by-step explanation:
12²=144
3²+4²=
9+16=25
25≠144
To make it easier to see exactly WHY 3²+4²≠12² you can spread out the numbers in the equation.
(3·3)+(4·4)≠(12·12)
When solving equations you use PEMDAS (Parenthesis Exponents Multiplication Division Addition Subtraction). You have to solve in THAT ORDER.
Answer:
Area of a rectangle = 7/12 of an inch
Step-by-step explanation
Area of a rectangle = Length × width
In this case, the length is represented by height
Height = 2/3 of an inch
Width = 7/8 of an inch
Area of a rectangle = Length × width
= 2/3 × 7/8
= (2 * 7) / (3 * 8)
= 14 / 24
= 7 / 12
Area of a rectangle = 7/12 of an inch