Answer:
Step-by-step explanation:
y=−2x+5
m= -2
As required line is parallel to y=−2x+5, slope will be same for these two lines.
slope of required line = -2
m = - 2 ; (1, -4)
y - y₁ = m (x - x₁)
y - (-4) = -2 * (x - 1)
y + 4 = -2x + 2
2x - 2 + y +4= 0
2x + y + 2 =0
y = -2x -2
It is y = 3x + 2, which means the y-intercept is 2. :)
Answer:
The distance added to each dimension is 2 yards.
Step-by-step explanation:
The initial dimensions of the rectangular fence is 8 yards by 4 yards.
The initial area of the rectangular fence = area of a rectangle
area of a rectangle = length x width
So that,
The initial area of the fence = 8 x 4
= 32
The initial area of the fence is 32 square yards.
But, with the new dimensions, area = 60 square yards.
(4 + x) x (8 + x) = 60
+ 12x + 28 = 60
+ 12x - 32 = 0
(x + 14) = 0 or (x - 2) = 0
x = -14 or x =2
Thus, x = 2
The distance added to each dimension is 2 yards.
Hello,
Using vectors and scalar product:
![[(a+c)*\vec{i}+(b-0)*\vec{j} ].[(a-c)*\vec{i}+(b-0)*\vec{j}]=0](https://tex.z-dn.net/?f=%5B%28a%2Bc%29%2A%5Cvec%7Bi%7D%2B%28b-0%29%2A%5Cvec%7Bj%7D%20%5D.%5B%28a-c%29%2A%5Cvec%7Bi%7D%2B%28b-0%29%2A%5Cvec%7Bj%7D%5D%3D0%20)
Thus

By the way how can we make text larger in latex \larger{.....} don't work.
Answer A