Answer:
If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Hope this helps.
Step-by-step explanation:
1- ABD
2- BC(with and arrow drawn above because it’s a ray) and BE (with and arrow drawn above because it’s a ray)
3- x=18
4- ABD=32
5- ABC=162
6- x=19
7- ABD=23
Answer:
Step-by-step explanation:
(a) the co-ordinates of the point where the line crosses the y-axis,
y intercept occurs when x = 0
y = 5 - 2(0)
y = 5
(0, 5)
(b) the gradient of the line,
the general line formula is y = mx + b, where m is the slope and b is the y intercept.
y = 5 - 2x
y = -2x + 5
m = -2
(c) the equation of a line parallel to L.
Parallel lines have the same slope, but different y intercepts.
The simplest parallel line formula is
y = -2x + 0
y = -2x
Answer:
x = ± 1
Step-by-step explanation:
Given
3(x² - 4) + 7 = - 2 ( subtract 7 from both sides )
3(x² - 4) = - 9 ( divide both sides by 3 )
x² - 4 = - 3 ( add 4 to both sides )
x² = 1 ( take the square root of both sides )
x² = ± 
= ± 1
Thus
x = - 1, x = 1
Answer:
Hot dog:155 calories Cottage cheese: 200 calories
Step-by-step explanation:
Make 2 equations ---->(y=cottage cheese, x=hot dog) 2x+3y=910, 5x+2y=1,175---> solve for one variable---> x+1.5y=910---> x=605-1.5 y-----> do for both-----> x=155, y=200
